Algebra Class: Interest and Exponents

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

<p>None of the above (D)</p> Signup and view all the answers

<p>1600 (C)</p> Signup and view all the answers

<p>23328 (C)</p> Signup and view all the answers

<p>1600 + 1728 (D)</p> Signup and view all the answers

<p>150 cm2 (D)</p> Signup and view all the answers

<p>x5 (B)</p> Signup and view all the answers

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

<p>1.6 x 10^-9 (A)</p> Signup and view all the answers

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

<p>x^9 (A)</p> Signup and view all the answers

<p>64 (A)</p> Signup and view all the answers

<p>1.5 x 10^9 (A)</p> Signup and view all the answers

<p>A = P(1 + (R/100))^n (A)</p> Signup and view all the answers

<p>CI = P(1 + (R/100))^n - P (C)</p> Signup and view all the answers

<p>A = P(1 + (R/(2<em>100)))^(2</em>n) (D)</p> Signup and view all the answers

<p>CI = P(1 + (R/(2<em>100)))^(2</em>n) - P (A)</p> Signup and view all the answers

<p>A = P(1 + (R1/100))(1 + (R2/100))(1 + (R3/100)) (D)</p> Signup and view all the answers

<p>CI = P(1 + (R1/100))(1 + (R2/100))(1 + (R3/100)) - P (A)</p> Signup and view all the answers

<p>23328 (D)</p> Signup and view all the answers

<p>800 (A)</p> Signup and view all the answers

<p>Form a table with the height of the object and the length of its shadow. (D)</p> Signup and view all the answers

<p>It helps to visually organize the given information and the unknown. (B)</p> Signup and view all the answers

<p>It expresses the proportionality between the height of the object and the length of its shadow. (D)</p> Signup and view all the answers

<p>Expressing an expression as a product of two or more expressions. (A)</p> Signup and view all the answers

<p>A factor that is common to all terms in a polynomial expression. (C)</p> Signup and view all the answers

<p>$5x + 2$ (A)</p> Signup and view all the answers

<p>$6x$ (A)</p> Signup and view all the answers

<p>Providing a summary of key concepts and definitions related to factorization. (C)</p> Signup and view all the answers

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

<p>9876 (D)</p> Signup and view all the answers

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

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

<p>100a + 10b + c (D)</p> Signup and view all the answers

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

<p>The last digit must be 0. (C)</p> Signup and view all the answers

<p>The total number of equal parts the whole unit is divided into (D)</p> Signup and view all the answers

<p>If a set is closed under an operation, performing that operation on any two elements from the set always results in an element within the set. (C)</p> Signup and view all the answers

<p>(\frac{9}{10}) (A)</p> Signup and view all the answers

<p>The sum is a rational number, (\frac{-1}{5}) (B)</p> Signup and view all the answers

Indicates how many equal parts the unit is divided into.

Indicates how many parts are to be considered from the whole.

A set is closed under an operation if performing that operation on members always produces a member of the same set.

Whole numbers are closed under addition; results are still whole numbers.

Integers are closed under subtraction; results remain integers.

Rational numbers are closed under addition; the result is still rational.

Rational numbers are not closed under division by zero but are closed when zero is excluded.

Whole numbers are commutative under addition; order doesn't matter.

The initial amount of money before interest is applied.

Interest calculated on the principal amount, not on the interest accrued.

Total amount after adding simple interest for the first year to principal.

An algebraic expression with one term.

An algebraic expression with two terms.

Terms in an expression that have the same variable raised to the same power.

Distributing every term of one polynomial to every term of another.

An algebraic expression with three terms.

The height of an object casting a shadow, measured in meters.

The distance a shadow extends from the base of an object, measured in meters.

Two triangles that have the same shape but may differ in size; their corresponding angles are equal.

The process of writing an expression as a product of its factors.

The largest factor that two or more numbers have in common.

A single term algebraic expression that can be part of a larger expression.

An algebraic expression that includes two terms.

A mathematical phrase that includes numbers, variables, and operation symbols but no equals sign.

CI = Amount - Principal.

A = P (1 + R/100)^n, where P is principal, R is rate, and n is time.

A = P (1 + R/200)^(2n), using half the rate for two periods in a year.

A = P(1 + R1/100)(1 + R2/100)(1 + R3/100) for varying interest rates.

Total amount paid back after interest is applied over 2 years.

The amount used to calculate interest in the second year, including first year gains.

S.I. = (Principal * Rate * Time)/100; simple calculation for initial interest.

Find S.I., update Principal, recalculate for additional years.

Area = ½ × base × height; formula used to calculate triangle's area.

x^m × x^n = x^(m+n); adds exponents when multiplying like bases.

x^m ÷ x^n = x^(m-n); subtracts exponents when dividing like bases.

Any number raised to the power of zero equals one; x^0 = 1.

A number in standard form is expressed as a product of a number between 1 and 10 and a power of 10.

Example: 149600000000 = 1.496 × 10^11; representation of numbers in standard form.

Small numbers can also be expressed in standard form using negative exponents; e.g., 0.0016 = 1.6 × 10^–3.

Various rules to simplify expressions involving exponents; includes multiplication, division, power of a power, etc.

A number in the form of 10a + b, where a is from 1-9 and b is from 0-9.

A number in the form of 100a + 10b + c, where a is from 1-9, b and c are from 0-9.

A number is divisible by 2 if its unit digit is even.

A number is divisible by 3 if the sum of its digits is divisible by 3.

A number is divisible by 5 if its unit digit is 0 or 5.

A number is divisible by 10 if its unit digit is zero.

A number is divisible by 9 if the sum of its digits is divisible by 9.

A number is divisible by 4 if the number formed by its last two digits is divisible by 4.