Gr 9 MATH: June Exam Easy

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Questions and Answers

What is the set of numbers that we use to count called?

  • Integers
  • Rational Numbers
  • Natural Numbers (correct)
  • Whole Numbers

Which operation is not closed under the natural numbers?

  • Subtraction (correct)
  • Addition
  • Multiplication
  • Division (correct)

What is the purpose of 0 in the system of whole numbers?

  • To represent negative numbers
  • To count objects
  • To write fractions
  • To write numbers, especially multiples of 10 (correct)

What is the identity element for addition in the system of whole numbers?

<p>0 (D)</p> Signup and view all the answers

What is the set of numbers that includes fractions and negative fractions?

<p>Rational Numbers (D)</p> Signup and view all the answers

Which of the following is an example of an irrational number?

<p>√2 (C)</p> Signup and view all the answers

What is the set of numbers that includes both rational and irrational numbers?

<p>Real Numbers (B)</p> Signup and view all the answers

Which of the following properties is true for integers?

<p>The sum of two integers can be zero (B)</p> Signup and view all the answers

What is the result of subtracting a larger number from a smaller number?

<p>A negative number (C)</p> Signup and view all the answers

What is the equivalent of adding a negative number?

<p>Subtracting the corresponding positive number (B)</p> Signup and view all the answers

What is the result of the product of a positive and a negative number?

<p>A negative number (B)</p> Signup and view all the answers

What is an algebraic expression indicating in a sequence of operations?

<p>A sequence of operations that can also be described in words or flow diagrams. (D)</p> Signup and view all the answers

What should be calculated first in an algebraic expression with brackets?

<p>The expressions in brackets. (A)</p> Signup and view all the answers

What is the purpose of exponents in mathematics?

<p>To provide a shorthand method for writing repeated multiplication (D)</p> Signup and view all the answers

What is the order of operations in an algebraic expression without brackets?

<p>Multiplication and division first, then addition and subtraction. (A)</p> Signup and view all the answers

What is the correct order of operations when calculating expressions involving exponents?

<p>Parentheses, exponents, multiplication, division, addition, subtraction (D)</p> Signup and view all the answers

What is a monomial in algebraic expressions?

<p>An expression with one term. (C)</p> Signup and view all the answers

What is the meaning of a negative exponent in scientific notation?

<p>The reciprocal of the base raised to the positive exponent (B)</p> Signup and view all the answers

What is the purpose of simplifying exponential expressions?

<p>To make the expression easier to work with (D)</p> Signup and view all the answers

What is the coefficient in an algebraic expression?

<p>The number multiplying the variable. (D)</p> Signup and view all the answers

What is the first step in solving exponential equations?

<p>Rewrite both sides of the equation with the same base (A)</p> Signup and view all the answers

What is a trinomial in algebraic expressions?

<p>An expression which is a sum of three terms. (D)</p> Signup and view all the answers

What is the main focus of geometric patterns?

<p>Investigating and extending patterns (C)</p> Signup and view all the answers

What is a variable in algebraic expressions?

<p>The symbol, often x, representing the unknown value. (A)</p> Signup and view all the answers

What is a binomial in algebraic expressions?

<p>An expression which is a sum of two terms. (A)</p> Signup and view all the answers

What is the purpose of identifying the next number in a pattern?

<p>To understand the pattern better (D)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Write a known number first in a product. (D)</p> Signup and view all the answers

What are equivalent algebraic expressions?

<p>Expressions with different sequences of operations but the same numerical value. (A)</p> Signup and view all the answers

What is the purpose of estimating in calculations?

<p>To get close to an answer without performing precise calculations (D)</p> Signup and view all the answers

What is the process of dividing a number step-by-step, subtracting multiples of the divisor from the dividend, and continuing the process until the remainder is less than the divisor?

<p>Long division (B)</p> Signup and view all the answers

What is the smallest common multiple of two or more numbers called?

<p>Lowest Common Multiple (C)</p> Signup and view all the answers

What is the process of expressing a number as a product of its prime factors?

<p>Prime factorization (D)</p> Signup and view all the answers

What is the formula to calculate average speed?

<p>Distance / Time (D)</p> Signup and view all the answers

What is the difference between the HP price and the cash price called?

<p>Interest (D)</p> Signup and view all the answers

How is simple interest calculated?

<p>On the principal amount without adding the interest to the principal each year (D)</p> Signup and view all the answers

What is the formula to calculate distance?

<p>Average speed × Time (D)</p> Signup and view all the answers

What is the ratio of the numbers of apples collected by different people used to compare?

<p>Their collection rates (D)</p> Signup and view all the answers

What is the highest number that divides each of two or more numbers without leaving a remainder called?

<p>Highest Common Factor (D)</p> Signup and view all the answers

What is the result of subtracting a larger number from a smaller number?

<p>A negative number (D)</p> Signup and view all the answers

What is the effect of adding a negative number to a positive number?

<p>The result is the same as subtracting the corresponding positive number (B)</p> Signup and view all the answers

What is the product of two negative numbers?

<p>Positive (B)</p> Signup and view all the answers

What is the additive inverse of a number?

<p>The corresponding negative number (C)</p> Signup and view all the answers

What is the result of adding a number and its additive inverse?

<p>Zero (D)</p> Signup and view all the answers

What is the distributive property of multiplication over addition?

<p>a(b + c) = ab + ac (B)</p> Signup and view all the answers

What is the result of dividing a positive number by a negative number?

<p>Negative (B)</p> Signup and view all the answers

What is the square root of a number?

<p>The positive square root (D)</p> Signup and view all the answers

What is the purpose of negative numbers?

<p>Both a and b (C)</p> Signup and view all the answers

What can be modeled using integers and the rules of addition, subtraction, multiplication, and division?

<p>All of the above (D)</p> Signup and view all the answers

What is the purpose of using brackets in algebraic expressions?

<p>To indicate the order of operations (C)</p> Signup and view all the answers

Which of the following is an example of the distributive property?

<p>2(x + 3) = 2x + 6 (C)</p> Signup and view all the answers

What is the result of multiplying (x + 2) by (x + 3)?

<p>x^2 + 5x + 6 (B)</p> Signup and view all the answers

What is the result of dividing (x^2 + 3x - 4) by (x + 1)?

<p>x + 2 (D)</p> Signup and view all the answers

What is the result of simplifying the expression 2x^2 + 4x - 3?

<p>2(x^2 + 2x - 3) (C)</p> Signup and view all the answers

What is the square of the binomial (x + 3)?

<p>x^2 + 6x + 9 (C)</p> Signup and view all the answers

What is the result of substituting x = 2 into the expression 2x^2 + 3x - 4?

<p>10 (D)</p> Signup and view all the answers

What is the rule for calculating the output numbers when the input is multiplied by 5 and the result is subtracted from 50?

<p>50 - 5x (D)</p> Signup and view all the answers

What is the output number when the input is 4 and the rule is 2n + 1?

<p>7 (D)</p> Signup and view all the answers

Which of the following is an equivalent form of the expression 2x^2 + 3x - 4?

<p>2(x^2 + 2x - 3) (C)</p> Signup and view all the answers

What is the result of applying the rule $x - 1000$ to natural numbers smaller than 1000?

<p>Negative numbers (A)</p> Signup and view all the answers

What type of numbers does the rule $\frac{x}{10} + 10$ result in when applied to natural numbers smaller than 10?

<p>Positive numbers between 10 and 11 (A)</p> Signup and view all the answers

What is the result of applying the rule $30x + 2$ to positive fractions with denominators 2, 3, and 5?

<p>Positive numbers greater than 2 (B)</p> Signup and view all the answers

What is the term for a relationship between two variables in which there is only one output number for each input number?

<p>Function (D)</p> Signup and view all the answers

What is the purpose of a flow diagram?

<p>To illustrate the calculations needed to determine the output number for a given input variable (B)</p> Signup and view all the answers

What is a characteristic of a function?

<p>There is only one output number for each input number (C)</p> Signup and view all the answers

How can a function be represented?

<p>Using a flow diagram, a table, or a graph (B)</p> Signup and view all the answers

What is the purpose of a table representation of a function?

<p>To show the input numbers and their corresponding function values (B)</p> Signup and view all the answers

What is the main difference between the natural numbers and the whole numbers?

<p>The natural numbers do not include 0, while the whole numbers do. (B)</p> Signup and view all the answers

What is a common property shared by the natural numbers and whole numbers?

<p>They are both closed under addition and multiplication. (A)</p> Signup and view all the answers

What is the system of integers extended to include?

<p>Negative numbers. (B)</p> Signup and view all the answers

What is a characteristic of rational numbers?

<p>They can be expressed as the quotient of two integers. (B)</p> Signup and view all the answers

What is an example of an irrational number?

<p>√2 (D)</p> Signup and view all the answers

What is the set of numbers that includes both rational and irrational numbers?

<p>The real numbers. (A)</p> Signup and view all the answers

What is a property of the system of natural numbers?

<p>It is closed under addition and multiplication. (B)</p> Signup and view all the answers

What is the purpose of the number 0 in the system of whole numbers?

<p>To be used as an identity element for addition. (C)</p> Signup and view all the answers

What is the purpose of estimating in calculations?

<p>To get close to an answer without performing precise calculations (A)</p> Signup and view all the answers

What is the process of dividing a number step-by-step, subtracting multiples of the divisor from the dividend, and continuing the process until the remainder is less than the divisor?

<p>Long Division (C)</p> Signup and view all the answers

What is the smallest common multiple of two or more numbers called?

<p>Lowest Common Multiple (C)</p> Signup and view all the answers

What is the process of expressing a number as a product of its prime factors?

<p>Prime Factorization (B)</p> Signup and view all the answers

What is the formula to calculate average speed?

<p>Distance / Time (D)</p> Signup and view all the answers

What is the difference between the HP price and the cash price called?

<p>Interest (B)</p> Signup and view all the answers

How is simple interest calculated?

<p>On the principal amount without adding the interest to the principal each year. (C)</p> Signup and view all the answers

What is the ratio of the numbers of apples collected by different people used to compare?

<p>Collection rates (D)</p> Signup and view all the answers

What is the highest number that divides each of two or more numbers without leaving a remainder called?

<p>Highest Common Factor (B)</p> Signup and view all the answers

What is the formula to calculate distance?

<p>Distance = Average speed × Time (C)</p> Signup and view all the answers

What is a relationship between two variables in which there is only one output number for each input number called?

<p>Function (B)</p> Signup and view all the answers

What is the correct order of operations in an algebraic expression without brackets?

<p>Division, Multiplication, Addition, Subtraction (C)</p> Signup and view all the answers

What describes the calculations needed to find the output number that corresponds to a given input number?

<p>Algebraic Expression (D)</p> Signup and view all the answers

What can be used to visually represent the relationship between two variables?

<p>Graph (C)</p> Signup and view all the answers

What is the purpose of the distributive property?

<p>To expand the product of two binomials (A)</p> Signup and view all the answers

What is the result of evaluating the expression $(2x)^3$?

<p>8x^3 (B)</p> Signup and view all the answers

What shows the calculations performed to produce the output numbers and indicates which output numbers correspond to which input numbers?

<p>Flow Diagram (D)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Write a known number first in a product (B)</p> Signup and view all the answers

What can be completed to show the input numbers and their corresponding function values?

<p>Table (D)</p> Signup and view all the answers

How many ways can a function be represented?

<p>4 (D)</p> Signup and view all the answers

What is the result of dividing the polynomial $x^2 + 3x - 4$ by the monomial $x - 1$?

<p>$x + 4$ (C)</p> Signup and view all the answers

What is the purpose of factorising algebraic expressions?

<p>To simplify expressions (C)</p> Signup and view all the answers

What is one way to determine which number is linked to a specific value of the other variable?

<p>Table (C)</p> Signup and view all the answers

What is an algebraic expression used to describe?

<p>A relationship between two variables (A)</p> Signup and view all the answers

What is the result of evaluating the expression $x^2 + 2x - 3$ when $x = 2$?

<p>3 (B)</p> Signup and view all the answers

What is the distributive property of division?

<p>$(x + y)/z = x/z + y/z$ (D)</p> Signup and view all the answers

What is the purpose of brackets in algebraic expressions?

<p>To indicate the order of operations (C)</p> Signup and view all the answers

What is the result of evaluating the expression $(5x)^2$?

<p>25x^2 (A)</p> Signup and view all the answers

What is the result of subtracting a larger number from a smaller number?

<p>A negative number (A)</p> Signup and view all the answers

What is the equivalent of subtracting a negative number?

<p>Adding a positive number (D)</p> Signup and view all the answers

What is the result of the product of a positive and a negative number?

<p>A negative number (C)</p> Signup and view all the answers

What is the purpose of exponents in mathematics?

<p>To provide a shorthand method for writing repeated multiplication (C)</p> Signup and view all the answers

What is the order of operations when calculating expressions involving exponents?

<p>Parentheses, exponents, multiplication, division, addition, subtraction (B)</p> Signup and view all the answers

What is the meaning of a negative exponent in scientific notation?

<p>The reciprocal of the base raised to the positive exponent (C)</p> Signup and view all the answers

What is the purpose of simplifying exponential expressions?

<p>To rewrite the expression in a more concise form (B)</p> Signup and view all the answers

What is the first step in solving exponential equations?

<p>Rewrite both sides of the equation with the same base (A)</p> Signup and view all the answers

What is the main focus of geometric patterns?

<p>Investigating and extending patterns (C)</p> Signup and view all the answers

What is an algebraic expression indicating?

<p>a sequence of operations (B)</p> Signup and view all the answers

What is the purpose of identifying the next number in a pattern?

<p>To predict the number of black tiles in future arrangements (A)</p> Signup and view all the answers

What operation should be performed first in an algebraic expression with brackets?

<p>Calculations within the brackets (A)</p> Signup and view all the answers

What is the order of operations in an algebraic expression without brackets?

<p>Multiplication and division first, then addition and subtraction (A)</p> Signup and view all the answers

What is a monomial in algebraic expressions?

<p>An expression with one term (D)</p> Signup and view all the answers

What is the coefficient in an algebraic expression?

<p>The number multiplying the variable (A)</p> Signup and view all the answers

What is a trinomial in algebraic expressions?

<p>An expression with three terms (A)</p> Signup and view all the answers

What is the purpose of simplifying algebraic expressions?

<p>To make the expression easier to understand (B)</p> Signup and view all the answers

What is a variable in algebraic expressions?

<p>The symbol representing the unknown value (A)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Write the coefficient first, then the variable (A)</p> Signup and view all the answers

What are equivalent algebraic expressions?

<p>Expressions with the same numerical value for any given value of the variable (D)</p> Signup and view all the answers

What is the result of subtracting a negative number from a positive number?

<p>A positive number (C)</p> Signup and view all the answers

What is the additive inverse of a number?

<p>A number that has the same magnitude but opposite sign (B)</p> Signup and view all the answers

What is the result of adding a positive and a negative number?

<p>Depends on the magnitudes of the numbers (A)</p> Signup and view all the answers

What is the product of two negative numbers?

<p>A positive number (A)</p> Signup and view all the answers

What is the purpose of negative numbers?

<p>To extend the number system for practical purposes (A), To provide solutions for equations (D)</p> Signup and view all the answers

What is the result of adding a number and its additive inverse?

<p>Zero (C)</p> Signup and view all the answers

What is the distributive property of multiplication over addition?

<p>a(b + c) = ab + ac (A)</p> Signup and view all the answers

What is the result of dividing a positive number by a negative number?

<p>A negative number (C)</p> Signup and view all the answers

What is the square root of a number?

<p>A number that is squared to give the original number (C)</p> Signup and view all the answers

What can be modeled using integers and the rules of addition, subtraction, multiplication, and division?

<p>Temperature changes, depths below sea level, and financial transactions (C)</p> Signup and view all the answers

What is the purpose of forming a sequence with dots?

<p>To analyze the pattern (B)</p> Signup and view all the answers

What is done first in an expression with brackets?

<p>Calculations within the brackets (A)</p> Signup and view all the answers

What is a term with a single variable and coefficient?

<p>Monomial (A)</p> Signup and view all the answers

What is the result of multiplying a positive number by a negative number?

<p>A negative number (C)</p> Signup and view all the answers

What is the purpose of identifying patterns in algebraic expressions?

<p>To compare sequences and identify relationships (B)</p> Signup and view all the answers

What is the term for the numerical coefficient in a monomial?

<p>Coefficient (B)</p> Signup and view all the answers

What is the purpose of writing algebraic expressions?

<p>To describe sequences of operations (A)</p> Signup and view all the answers

What is an expression with three terms?

<p>Trinomial (B)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Write the known number first (C)</p> Signup and view all the answers

What is the order of operations when calculating expressions without brackets?

<p>Multiplication and division first, followed by addition and subtraction (A)</p> Signup and view all the answers

What is the purpose of estimating in calculations?

<p>To get close to an answer without performing precise calculations (C)</p> Signup and view all the answers

What is the process of expressing a number as a product of its prime factors?

<p>Prime factorization (D)</p> Signup and view all the answers

What is the formula to calculate average speed?

<p>Distance / Time (D)</p> Signup and view all the answers

What is the highest number that divides each of two or more numbers without leaving a remainder called?

<p>Highest Common Factor (HCF) (D)</p> Signup and view all the answers

What is the process of dividing a number step-by-step, subtracting multiples of the divisor from the dividend, and continuing the process until the remainder is less than the divisor?

<p>Long division (C)</p> Signup and view all the answers

What is the difference between the HP price and the cash price called?

<p>Interest (D)</p> Signup and view all the answers

What is the purpose of using prime factorization?

<p>To find the LCM and HCF of two numbers (C)</p> Signup and view all the answers

What is the formula to calculate distance?

<p>Average speed × Time (D)</p> Signup and view all the answers

What is the result of subtracting a larger number from a smaller number?

<p>A negative number (C)</p> Signup and view all the answers

What is the ratio of the numbers of apples collected by different people used to compare?

<p>Their rates of collection (C)</p> Signup and view all the answers

What is the equivalent of adding a negative number?

<p>Subtracting a positive number (A)</p> Signup and view all the answers

How is simple interest calculated?

<p>On the principal amount without adding the interest to the principal each year (C)</p> Signup and view all the answers

What is the purpose of combining like terms when simplifying an algebraic expression?

<p>To make the expression easier to evaluate (B)</p> Signup and view all the answers

What is the result of the product of a positive and a negative number?

<p>A negative number (A)</p> Signup and view all the answers

What is the purpose of exponents in mathematics?

<p>To indicate repeated multiplication (B)</p> Signup and view all the answers

What is the result of multiplying a polynomial by a monomial?

<p>A polynomial with each term multiplied by the monomial (B)</p> Signup and view all the answers

What is the correct order of operations when calculating expressions involving exponents?

<p>Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (B)</p> Signup and view all the answers

What is the distributive property of division?

<p>Both of the above (C)</p> Signup and view all the answers

What is the formula for expanding the square of a binomial (a + b)?

<p>a^2 + 2ab + b^2 (D)</p> Signup and view all the answers

What is the meaning of a negative exponent in scientific notation?

<p>The reciprocal of the base raised to the positive exponent (A)</p> Signup and view all the answers

What is the purpose of substituting specific values for variables in an algebraic expression?

<p>To evaluate the expression for a given input (B)</p> Signup and view all the answers

What is the purpose of simplifying exponential expressions?

<p>To use the laws of exponents to simplify expressions (B)</p> Signup and view all the answers

What is the main focus of geometric patterns?

<p>Investigating and extending patterns (B)</p> Signup and view all the answers

What is the result of applying the rule 'multiply a number by 5 and subtract the result from 50' to a given input?

<p>The output depends on the input value (A)</p> Signup and view all the answers

What is a common property of natural numbers and whole numbers?

<p>They are closed under addition and multiplication (D)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Write the coefficient first, then the variable (C)</p> Signup and view all the answers

What is the purpose of identifying the next number in a pattern?

<p>To predict the next number in the pattern (B)</p> Signup and view all the answers

What is an equivalent algebraic expression?

<p>An expression with different sequence of operations but same result (B)</p> Signup and view all the answers

What is the main difference between natural numbers and whole numbers?

<p>Natural numbers do not include 0, while whole numbers do (D)</p> Signup and view all the answers

What is the result of adding a number and its additive inverse?

<p>Zero (A)</p> Signup and view all the answers

What is a characteristic of integers?

<p>They can be zero or have an additive inverse (B)</p> Signup and view all the answers

What is the purpose of factoring algebraic expressions?

<p>To simplify the expression (C)</p> Signup and view all the answers

What is a characteristic of rational numbers?

<p>They can be expressed as a quotient of two integers (A)</p> Signup and view all the answers

What is the result of squaring a binomial (a - b)?

<p>a^2 - 2ab + b^2 (C)</p> Signup and view all the answers

What is an example of an irrational number?

<p>\sqrt{2} (B)</p> Signup and view all the answers

What is the set of numbers that includes both rational and irrational numbers?

<p>The set of real numbers (A)</p> Signup and view all the answers

What is a property of the system of natural numbers?

<p>It is closed under addition and multiplication (B)</p> Signup and view all the answers

What is the purpose of the number 0 in the system of whole numbers?

<p>To write numbers and provide a place value (A)</p> Signup and view all the answers

What is a relationship between two variables where there is only one output number for each input number?

<p>Function (C)</p> Signup and view all the answers

How can a function be represented?

<p>Using a flow diagram, a table, and a graph (D)</p> Signup and view all the answers

What does a flow diagram show?

<p>The calculations performed to produce the output numbers and the corresponding input numbers (D)</p> Signup and view all the answers

What is the purpose of an algebraic expression?

<p>To describe the calculations needed to find the output number that corresponds to a given input number (B)</p> Signup and view all the answers

If one variable quantity is influenced by another, what is the result?

<p>A relationship between the two variables (C)</p> Signup and view all the answers

What is a table used for in function representation?

<p>To complete the input numbers and their corresponding function values (D)</p> Signup and view all the answers

What is the purpose of a graph in function representation?

<p>To visually represent the function (A)</p> Signup and view all the answers

What is the result of applying the rule $x - 1000$ to natural numbers smaller than 1000?

<p>Negative numbers (D)</p> Signup and view all the answers

When adding a positive and a negative number, what determines the result?

<p>The magnitude of the numbers involved (A)</p> Signup and view all the answers

What is the effect of subtracting a negative number?

<p>It is the same as adding a positive number (C)</p> Signup and view all the answers

What is the result of adding a number and its additive inverse?

<p>Zero (A)</p> Signup and view all the answers

What is the product of two negative numbers?

<p>A positive number (B)</p> Signup and view all the answers

What does the distributive property of multiplication over addition state?

<p>a(b + c) = ab + ac (C)</p> Signup and view all the answers

What is the result of subtracting a larger number from a smaller number?

<p>A negative number (D)</p> Signup and view all the answers

What is the square root of a number?

<p>The positive square root (A)</p> Signup and view all the answers

What are negative numbers used for?

<p>To extend the number system for practical purposes (A)</p> Signup and view all the answers

What is the result of adding a negative number to a positive number?

<p>It depends on the magnitudes of the numbers (C)</p> Signup and view all the answers

What can be modeled using integers and the rules of addition, subtraction, multiplication, and division?

<p>Real-world situations (C)</p> Signup and view all the answers

What is true about the system of natural numbers?

<p>It is closed under addition and multiplication (C)</p> Signup and view all the answers

What is the main difference between the system of whole numbers and the system of natural numbers?

<p>The system of whole numbers includes 0 (A)</p> Signup and view all the answers

What is true about the sum of two integers?

<p>It can be zero (A)</p> Signup and view all the answers

What is a characteristic of irrational numbers?

<p>They cannot be expressed as a fraction of two integers (B)</p> Signup and view all the answers

What is the set of numbers that includes both rational and irrational numbers?

<p>The set of real numbers (B)</p> Signup and view all the answers

What is a property of the system of integers?

<p>Each integer has an additive inverse (C)</p> Signup and view all the answers

What is the purpose of the system of integers?

<p>To include negative numbers (C)</p> Signup and view all the answers

What is true about the system of whole numbers and the system of integers?

<p>The system of whole numbers is a subset of the system of integers (C)</p> Signup and view all the answers

What is the result of adding a positive number and a negative number?

<p>Depends on the magnitudes of the numbers involved (C)</p> Signup and view all the answers

What is the effect of subtracting a negative number from a positive number?

<p>Increases the result (A)</p> Signup and view all the answers

What is the product of two negative numbers?

<p>Positive (D)</p> Signup and view all the answers

What is the additive inverse of a number?

<p>A number that adds up to 0 (D)</p> Signup and view all the answers

What is the result of adding a number and its additive inverse?

<p>Zero (D)</p> Signup and view all the answers

What is the distributive property of multiplication over addition?

<p>a(b + c) = ab + ac (D)</p> Signup and view all the answers

What is the result of dividing a positive number by a negative number?

<p>Negative (A)</p> Signup and view all the answers

What is the square root of a number?

<p>The positive number that when multiplied by itself gives the original number (A)</p> Signup and view all the answers

What is the purpose of negative numbers?

<p>To extend the number system for practical purposes (D)</p> Signup and view all the answers

What can be modeled using integers and the rules of addition, subtraction, multiplication, and division?

<p>Real-world situations (D)</p> Signup and view all the answers

What is the purpose of estimating in calculations?

<p>To get a close answer without performing precise calculations (D)</p> Signup and view all the answers

What is the process of dividing a number step-by-step, subtracting multiples of the divisor from the dividend, and continuing the process until the remainder is less than the divisor?

<p>Long division (B)</p> Signup and view all the answers

What is the smallest common multiple of two or more numbers called?

<p>Lowest Common Multiple (A)</p> Signup and view all the answers

What is the process of expressing a number as a product of its prime factors?

<p>Prime factorization (C)</p> Signup and view all the answers

What is the formula to calculate average speed?

<p>Distance / Time (D)</p> Signup and view all the answers

What is the difference between the HP price and the cash price called?

<p>Interest (A)</p> Signup and view all the answers

How is simple interest calculated?

<p>On the principal amount without adding the interest to the principal each year (B)</p> Signup and view all the answers

What is the ratio of the numbers of apples collected by different people used to compare?

<p>Their collection rates (A)</p> Signup and view all the answers

What is the highest number that divides each of two or more numbers without leaving a remainder called?

<p>Highest Common Factor (A)</p> Signup and view all the answers

What is the formula to calculate distance?

<p>Average speed × Time (B)</p> Signup and view all the answers

What is the result of subtracting a larger number from a smaller number in integer operations?

<p>A negative number (A)</p> Signup and view all the answers

What is the equivalent of subtracting a negative number in integer operations?

<p>Adding a positive number (D)</p> Signup and view all the answers

What is the result of the product of a positive and a negative number in integer operations?

<p>A negative number (A)</p> Signup and view all the answers

What is the purpose of exponents in mathematics?

<p>To represent repeated multiplication (C)</p> Signup and view all the answers

What is the correct order of operations when calculating expressions involving exponents?

<p>Parentheses, exponents, multiplication, division, addition, subtraction (D)</p> Signup and view all the answers

What does a negative exponent represent in scientific notation?

<p>The reciprocal of the base raised to the positive exponent (B)</p> Signup and view all the answers

What is the purpose of simplifying exponential expressions?

<p>To make the expressions easier to understand and solve (D)</p> Signup and view all the answers

What is the main focus of geometric patterns?

<p>Investigating and extending geometric patterns (A)</p> Signup and view all the answers

What is the purpose of identifying the next number in a pattern?

<p>To predict the next arrangement (A)</p> Signup and view all the answers

What is the benefit of using scientific notation to express very large or very small numbers?

<p>It provides a simple and concise way to express very large or very small numbers (A)</p> Signup and view all the answers

What is the purpose of identifying variables in algebraic expressions?

<p>To represent the unknown value (A)</p> Signup and view all the answers

What is the rule for performing calculations in an algebraic expression with brackets?

<p>Perform the calculations inside the brackets first (D)</p> Signup and view all the answers

What is a trinomial in algebraic expressions?

<p>An expression with three terms (B)</p> Signup and view all the answers

What is the purpose of equivalent algebraic expressions?

<p>To represent the same numerical value (B)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Write the known number first in a product (C)</p> Signup and view all the answers

What is the result of performing multiplication and division in an algebraic expression without brackets?

<p>Perform multiplication and division first (B)</p> Signup and view all the answers

What is the purpose of monomials, binomials, and trinomials in algebraic expressions?

<p>To classify algebraic expressions based on the number of terms (B)</p> Signup and view all the answers

What is the role of the coefficient in an algebraic expression?

<p>To multiply the variable term (A)</p> Signup and view all the answers

What is the purpose of algebraic expressions?

<p>To indicate a sequence of operations (C)</p> Signup and view all the answers

What is the rule for performing calculations in an algebraic expression without brackets?

<p>Perform multiplication and division first (D)</p> Signup and view all the answers

What happens when the rule ( x - 1000 ) is applied to natural numbers smaller than 1000?

<p>The result is always negative. (A)</p> Signup and view all the answers

What is the relationship between variables in which one variable quantity is influenced by another?

<p>A function. (B)</p> Signup and view all the answers

How can a function be represented?

<p>By a table, flow diagram, formula, or graph. (A)</p> Signup and view all the answers

What is the purpose of a flow diagram?

<p>To illustrate the calculations needed to determine the output number. (D)</p> Signup and view all the answers

What can be used to complete a table to show the input numbers and their corresponding function values?

<p>A formula or a flow diagram. (C)</p> Signup and view all the answers

What is the purpose of a graph?

<p>To provide a visual representation of the relationship. (A)</p> Signup and view all the answers

How many ways can a function be represented?

<p>Four ways. (B)</p> Signup and view all the answers

What is the rule ( rac{x}{10} + 10 ) applied to?

<p>Natural numbers smaller than 10. (D)</p> Signup and view all the answers

What is the purpose of combining like terms when simplifying an expression?

<p>To reduce the number of terms in the expression (D)</p> Signup and view all the answers

What is the result of multiplying a polynomial by a monomial?

<p>A polynomial with the same degree (B)</p> Signup and view all the answers

How do you evaluate the expression $(a + b)^2$?

<p>By expanding the product using the distributive property (D)</p> Signup and view all the answers

What is the purpose of substituting specific values for variables in an algebraic expression?

<p>All of the above (D)</p> Signup and view all the answers

What is the rule for dividing a polynomial by a monomial?

<p>Each term in the polynomial is divided by the monomial (B)</p> Signup and view all the answers

What is the distributive property of multiplication over addition?

<p>a(b + c) = ab + ac (D)</p> Signup and view all the answers

What is the purpose of applying the distributive property in algebraic expressions?

<p>To expand the product of binomials (C)</p> Signup and view all the answers

What is the result of multiplying a polynomial by a monomial?

<p>A polynomial with the same degree (D)</p> Signup and view all the answers

What is the purpose of using brackets in algebraic expressions?

<p>To indicate the order of operations (B)</p> Signup and view all the answers

What is the result of applying the rule of multiplication to a binomial?

<p>A polynomial with the same degree (A)</p> Signup and view all the answers

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