Gr 9 MATH: June Exam Mix
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Questions and Answers

What are the numbers used to count called?

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

What is the result of adding two or more natural numbers?

  • Always a rational number
  • Always a natural number (correct)
  • Always an irrational number
  • Always an integer

What is the result of subtracting a natural number from another natural number?

  • Always a natural number
  • Not always a natural number (correct)
  • Always an irrational number
  • Always an integer

What is the result of dividing a natural number by another natural number?

<p>Not always a natural number (D)</p> Signup and view all the answers

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

<p>To represent the absence of quantity (A)</p> Signup and view all the answers

What is an additive inverse of an integer?

<p>A number that when added gives 0 (D)</p> Signup and view all the answers

What are numbers that can be expressed as the quotient of two integers?

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

What is an example of an irrational number?

<p>(\sqrt{2}) (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 effect of adding a negative number?

<p>It decreases the value (B)</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 quotient of a positive number and a negative number?

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

What is the additive inverse of a number?

<p>The negative of the 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 distributive property of multiplication over addition?

<p>a(b + c) = ab + ac (A)</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 is an example of a real-world situation where integers are used?

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

What type of numbers are -7 and -500?

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

What is the equivalent of subtracting a negative number?

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

What is the rule for multiplying a positive and a negative number?

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

What is the purpose of exponents in mathematical notation?

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

What is the rule for calculating powers in mixed operations?

<p>Powers should be calculated before performing multiplication and division (C)</p> Signup and view all the answers

What does a negative exponent represent?

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

What is the purpose of scientific notation?

<p>To express very large or very small numbers (B)</p> Signup and view all the answers

What is the next step in solving an exponential equation?

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

What is the purpose of investigating and extending geometric patterns?

<p>To analyze and describe patterns (D)</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 next step in identifying a pattern in a geometric arrangement?

<p>Analyze the arrangement and identify the pattern (D)</p> Signup and view all the answers

How is long division performed?

<p>By dividing the number step-by-step, subtracting multiples of the divisor from the dividend (D)</p> Signup and view all the answers

What is the lowest common multiple of two or more numbers?

<p>The smallest number that is a multiple of each of them (D)</p> Signup and view all the answers

How is the highest common factor of two numbers found?

<p>By identifying the common prime factors of the numbers and multiplying them (C)</p> Signup and view all the answers

What is the formula for calculating average speed?

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

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

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

What is the formula for calculating the distance?

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

What is the term for the largest number that divides each of two or more numbers without leaving a remainder?

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

What is the purpose of compensating for errors in calculations?

<p>To correct errors introduced by rounding (A)</p> Signup and view all the answers

What is the formula for calculating time?

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

What is an algebraic expression?

<p>A sequence of operations that can be described in words and diagrams (B)</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 (C)</p> Signup and view all the answers

What is a monomial?

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

What is the purpose of brackets in an algebraic expression?

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

What is the term for the symbol representing the unknown value?

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

What is the correct order of operations with brackets?

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

What is a binomial?

<p>An expression with two terms (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 equivalent to an algebraic expression?

<p>A sequence of operations with the same result (B)</p> Signup and view all the answers

What do you call the number multiplying the variable in an algebraic expression?

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

What is the result of applying the rule $rac{x}{10} + 10$ 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 (C)</p> Signup and view all the answers

What is a relationship between two variables where one variable quantity is influenced by another?

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

What is a diagram that illustrates the calculations needed to determine the output number for a given input variable?

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

What is a representation of a function that provides a visual picture of the relationship?

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

How many ways can a function be represented?

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

What is the characteristic of a function that ensures each input number corresponds to only one output number?

<p>One input, one output (D)</p> Signup and view all the answers

What is the purpose of brackets in algebraic expressions?

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

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

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

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

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

What is the distributive property of division?

<p>Both (x + y)/z = x/z + y/z and (x - y)/z = x/z - y/z (C)</p> Signup and view all the answers

What is the purpose of simplifying algebraic expressions?

<p>To combine like terms and eliminate any parentheses (A)</p> Signup and view all the answers

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

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

What is the formula for the cube of a monomial (2x)?

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

What is the purpose of the distributive property in algebra?

<p>To simplify expressions and expand products (D)</p> Signup and view all the answers

What is the result of substituting a value into an algebraic expression?

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

What is the formula for the square root of a monomial (16x^2)?

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

Which of the following is a property of the system of whole numbers?

<p>The system is closed under addition and multiplication. (D)</p> Signup and view all the answers

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

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

Which of the following 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 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 the characteristic of the system of integers that is not found in the system of whole numbers?

<p>The system includes negative numbers. (C)</p> Signup and view all the answers

What is a characteristic of irrational numbers?

<p>They cannot be expressed as a fraction. (D)</p> Signup and view all the answers

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

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

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

<p>To represent the absence of quantity. (D)</p> Signup and view all the answers

What is the additive inverse of a number?

<p>The number multiplied by -1 (A)</p> Signup and view all the answers

What is the sum of two integers that can be?

<p>Zero or non-zero. (A)</p> Signup and view all the answers

What is the rule for multiplying a positive and a negative number?

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

What is the equivalent of subtracting a negative number?

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

What is the purpose of negative numbers?

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

What is the distributive property of multiplication over addition?

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

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

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

What is the rule for dividing a positive number by a negative number?

<p>The quotient is always negative (C)</p> Signup and view all the answers

What is the result of subtracting an additive inverse?

<p>Adding the corresponding positive number (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 equivalent of subtracting a negative number?

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

What is the rule for multiplying a positive and a negative number?

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

What does a negative exponent represent?

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

What is the purpose of scientific notation?

<p>To express very large numbers in a simpler form (C), To express very small numbers in a simpler form (D)</p> Signup and view all the answers

What is the next step in solving an exponential equation?

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

What is the purpose of investigating and extending geometric patterns?

<p>To identify the pattern and make predictions (A)</p> Signup and view all the answers

What is the purpose of estimating in calculations?

<p>To get a close approximation of the answer (C)</p> Signup and view all the answers

What is the law of exponents that states $a^m imes a^n = a^{m+n}$?

<p>The product of powers (B)</p> Signup and view all the answers

How do you find the LCM of two numbers?

<p>By multiplying all the prime factors of both numbers, without repeating any factors (D)</p> Signup and view all the answers

What is the formula for calculating average speed?

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

What is the order of operations in an expression involving exponents, multiplication, and addition?

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

What is the purpose of compensating for errors in calculations?

<p>To correct errors introduced by rounding (B)</p> Signup and view all the answers

What is the result of applying the law of exponents $a^m \div a^n = a^{m-n}$?

<p>The difference of the exponents (A)</p> Signup and view all the answers

What is the term for the largest number that divides each of two or more numbers without leaving a remainder?

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

How do you find the HCF of two numbers?

<p>By multiplying the common prime factors of the numbers (D)</p> Signup and view all the answers

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

<p>The interest paid (A)</p> Signup and view all the answers

How do you calculate the distance?

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

What is the formula for calculating time?

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

What is the purpose of prime factorization?

<p>To express a number as a product of its prime factors (D)</p> Signup and view all the answers

What is the purpose of an algebraic expression?

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

What is the term for the number that multiplies the variable in an algebraic expression?

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

What is the rule for evaluating algebraic expressions without brackets?

<p>Perform multiplication and division before addition and subtraction (C)</p> Signup and view all the answers

What is the term for an expression with three terms?

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

What is the purpose of brackets in an algebraic expression?

<p>To perform calculations first (C)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

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

What is an equivalent algebraic expression?

<p>An expression with different sequences of operations but the same numerical value (D)</p> Signup and view all the answers

What is the term for the symbol representing the unknown value?

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

What is the correct order of operations when brackets are present in an algebraic expression?

<p>Perform calculations within brackets first, then multiplication and division, then addition and subtraction (A)</p> Signup and view all the answers

What is the purpose of a flow diagram in algebraic expressions?

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

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

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

What is used to visually represent the relationship between two variables?

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

What is used to describe the calculations needed to find the output number that corresponds to a given input number?

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

What is the purpose of a table representation?

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

How many different ways can a function be represented?

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

What is true about the application of a rule to a given input number?

<p>It produces only one output number (A)</p> Signup and view all the answers

What is the purpose of using brackets in algebraic expressions?

<p>To specify the order of operations when necessary (D)</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 evaluating the expression $(2x + 3)(x - 2)$?

<p>$2x^2 + x - 12$ (D)</p> Signup and view all the answers

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

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

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

<p>$9x^2$ (D)</p> Signup and view all the answers

What is the equivalent of the expression $(x + 2)(x + 3)$?

<p>$x^2 + 5x + 6$ (C)</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 result of applying the rule $2x + 1$ to the input $x = 3$?

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

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

<p>$x^2 - x + 6$ (D)</p> Signup and view all the answers

What is the equivalent of the expression $(a + b)^2$?

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

What is the effect of subtracting a negative number?

<p>It has the same effect as adding a positive number (D)</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 rule for multiplying a positive and a negative number?

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

What is the purpose of integers in real-world applications?

<p>To model temperature changes and financial transactions (C)</p> Signup and view all the answers

Which of the following numbers is a natural number?

<p>1 (C)</p> Signup and view all the answers

What is the result of subtracting an additive inverse from a number?

<p>The result is always zero (D)</p> Signup and view all the answers

What is the distributive property of multiplication over addition?

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

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

<p>To represent the absence of quantity (B)</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

Which of the following properties is true for the system of whole numbers?

<p>Closed under addition and multiplication (A)</p> Signup and view all the answers

What is an integer that is not a natural number?

<p>-1 (D)</p> Signup and view all the answers

What is the result of adding an integer and its additive inverse?

<p>The result is always zero (D)</p> Signup and view all the answers

Which of the following is a characteristic of irrational numbers?

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

What is the purpose of negative numbers in the number system?

<p>To extend the number system for practical purposes (B)</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 is a property of integers?

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

What is the result of adding 0 to a number?

<p>The result is always the number you start with (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 (D)</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 multiplying a positive number and a negative number?

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

What is the rule for calculating powers in mixed operations?

<p>Calculate powers before performing multiplication and division (A)</p> Signup and view all the answers

What does a negative exponent represent?

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

What is the purpose of scientific notation?

<p>To express very large or very small numbers in a compact form (D)</p> Signup and view all the answers

What is the next step in solving an exponential equation?

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

What is the purpose of investigating and extending geometric patterns?

<p>To identify and extend patterns in arrangements (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 effect of adding an integer to its additive inverse?

<p>It results in zero (B)</p> Signup and view all the answers

What is the main purpose of estimating in calculations?

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

How do you find the lowest common multiple of two numbers?

<p>By multiplying all the prime factors of both numbers, without repeating any factors unless they appear more than once in one of the numbers (A)</p> Signup and view all the answers

What is the formula for calculating average speed?

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

What is the term for the largest number that divides each of two or more numbers without leaving a remainder?

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

How do you find the highest common factor of two numbers?

<p>By multiplying the common prime factors of the numbers (B)</p> Signup and view all the answers

What is the purpose of compensating for errors in calculations?

<p>To correct errors introduced by rounding (D)</p> Signup and view all the answers

What is the formula for calculating distance?

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

How do you calculate the simple interest on a principal amount?

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

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

<p>The interest amount (D)</p> Signup and view all the answers

What is the purpose of prime factorization?

<p>To express a number as a product of its prime factors (B)</p> Signup and view all the answers

What is the purpose of algebraic language?

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

What is the correct order of operations when brackets are present in an algebraic expression?

<p>Perform the calculations within the brackets first, then multiplication and division (D)</p> Signup and view all the answers

What is the term for an expression with one term?

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

What is the purpose of convention in writing algebraic expressions?

<p>To avoid ambiguity (A)</p> Signup and view all the answers

What is the result of applying the order of operations in the expression $12 + 3x$ when $x = 5$?

<p>Multiply 5 by 3, then add 12 (B)</p> Signup and view all the answers

What is the term for the symbol representing the unknown value in an algebraic expression?

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

What is the purpose of equivalent algebraic expressions?

<p>To have the same numerical value for any given value of the variable (C)</p> Signup and view all the answers

What is the convention for writing algebraic expressions when there are no brackets?

<p>Perform multiplication and division before addition and subtraction (A)</p> Signup and view all the answers

What is the term for an expression which is a sum of two terms?

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

What is the term for the number multiplying the variable in an algebraic expression?

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

What does a flow diagram illustrate in a function?

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

What is the purpose of a table in representing a function?

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

What is the benefit of representing a function using a graph?

<p>It provides a visual representation of the relationship (B)</p> Signup and view all the answers

How many different ways can a function be represented?

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

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

<p>There is an influence (C)</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 (B)</p> Signup and view all the answers

What is the result of applying the distributive property to the expression (a + b)(a - b)?

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

Which of the following is a correct simplification of the expression 2x + 5x?

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

What is the result of dividing the polynomial 6x^2 + 12x by the monomial 2x?

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

What is the simplified form of the expression (x + 3)^2?

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

What is the result of evaluating the expression 2x^2 + 3x - 1 when x = 4?

<p>45 (A)</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 the input 6?

<p>20 (D)</p> Signup and view all the answers

What is the equivalent expression for the given rule '2n + 1' when applied to even numbers?

<p>n + 1 (C)</p> Signup and view all the answers

What is the result of evaluating the expression (x - 2)(x + 3) when x = 5?

<p>27 (B)</p> Signup and view all the answers

What is the convention for writing algebraic expressions involving the product of a number and a variable?

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

What is the result of simplifying the expression 3x^2 + 6x + 2x^2 + 4x?

<p>5x^2 + 10x (D)</p> Signup and view all the answers

Which set of numbers is not closed under division?

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

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

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

What is the additive inverse of an integer?

<p>An integer of the same absolute value but opposite sign (B)</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 (D)</p> Signup and view all the answers

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

<p>To write numbers without a special symbol for 10 (A)</p> Signup and view all the answers

What is a characteristic of natural numbers?

<p>They can be used to count (C)</p> Signup and view all the answers

What is the system of integers extended from?

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

What is the purpose of compensating for errors in calculations?

<p>To correct the rounding errors introduced in estimation (C)</p> Signup and view all the answers

What is the formula for calculating average speed?

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

What is the term for the largest number that divides each of two or more numbers without leaving a remainder?

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

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

<p>The interest amount (C)</p> Signup and view all the answers

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

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

How is the Lowest Common Multiple (LCM) of two numbers found?

<p>By multiplying all the prime factors of both numbers (C)</p> Signup and view all the answers

Which of the following is a property of adding integers?

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

What is the purpose of estimating in calculations?

<p>To get a close approximation of the answer (B)</p> Signup and view all the answers

What is the formula for calculating distance?

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

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

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

What is the product of two negative integers?

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

What is the term for the symbol representing the unknown value in an algebraic expression?

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

What is the result of subtracting an additive inverse from a number?

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

What is the purpose of prime factorization?

<p>To express a number as a product of its prime factors (B)</p> Signup and view all the answers

What is the purpose of negative numbers in the number system?

<p>Both A and B (C)</p> Signup and view all the answers

What is the formula for calculating time?

<p>Distance ÷ Average speed (A)</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 (D)</p> Signup and view all the answers

What is the distributive property of multiplication over addition?

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

What is the result of multiplying a positive and a negative integer?

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

What is the purpose of exponents in mathematical notation?

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

When solving an equation involving subtracting a larger number from a smaller one, what type of number is the result?

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

What is the result of adding the additive inverse of an integer to the integer itself?

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

What is the purpose of exponents in mathematical notation?

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

What is the rule for calculating powers in mixed operations?

<p>Calculate exponents and then multiplication and division (A)</p> Signup and view all the answers

What does a negative exponent represent?

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

What is the purpose of scientific notation?

<p>To express very large or very small numbers in a more readable form (C)</p> Signup and view all the answers

When converting a number from scientific notation to decimal form, what do you do?

<p>Move the decimal point to the left according to the exponent (B)</p> Signup and view all the answers

What is the first step in solving an exponential equation?

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

What is the purpose of investigating and extending geometric patterns?

<p>To describe the patterns of different shapes and colors (A)</p> Signup and view all the answers

When analyzing geometric arrangements, what do you identify?

<p>The pattern of different shapes and colors (D)</p> Signup and view all the answers

What is the purpose of an algebraic expression?

<p>To represent a sequence of calculations (D)</p> Signup and view all the answers

What is the term for an expression with one term?

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

What operation should be performed first in an algebraic expression without brackets?

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

What is the term for the number multiplying the variable in an algebraic expression?

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

What is the purpose of brackets in an algebraic expression?

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

What is the term for an expression which is a sum of two terms?

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

What is the convention for writing algebraic expressions?

<p>Omit the multiplication sign (A)</p> Signup and view all the answers

What is the relationship between equivalent algebraic expressions?

<p>They have different sequences of operations but the same numerical value (B)</p> Signup and view all the answers

What is the term for the symbol representing the unknown value in an algebraic expression?

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

What operation should be performed next in an expression without brackets, after multiplication and division?

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

What is the result of expanding the product of two binomials (a + b)(a - b)?

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

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

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

What is the equivalent of the algebraic expression (a + b)^2?

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

What is the result of evaluating the expression (x + 2)(x + 3) when x = 1?

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

What is the result of simplifying the expression 2x + 3x + 5x?

<p>8x + 5 (D)</p> Signup and view all the answers

What is the result of finding the square root of 16x^2?

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

What is the result of applying the rule x^2 + 5x - 2 to the input x = 2?

<p>14 (D)</p> Signup and view all the answers

What is the equivalent of the algebraic expression (a - b)^2?

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

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

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

What is the result of evaluating the expression 2x^2 + 3x - 5 when x = -1?

<p>-12 (C)</p> Signup and view all the answers

What is the primary characteristic of a function?

<p>It is a relationship between two variables with only one output number for each input number (D)</p> Signup and view all the answers

What is the purpose of a flow diagram in representing a function?

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

What is the benefit of using a graph to represent a function?

<p>It provides a visual representation of the relationship between the variables (C)</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 can be used to determine which output number corresponds to a specific input number?

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

What is a common way to represent a function?

<p>In multiple ways, including a formula, table, graph, and flow diagram (B)</p> Signup and view all the answers

What is the term for a relationship between two variables where each input number corresponds to only one output number?

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

What is the benefit of using a table to represent a function?

<p>It clearly indicates which output value corresponds to each input value (D)</p> Signup and view all the answers

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