6th Grade Unit 3: Exponents/ Expressions Math Review

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 x 2 x 2 = 8).

Front

How do you calculate the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated by the formula P = 2L + 2W, where L is the length and W is the width.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you simplify the expression 3(5x - 2)?

Back

To simplify 3(5x - 2), distribute the 3: 3 * 5x - 3 * 2 = 15x - 6.

Front

What is the product of two factors?

Back

The product of two factors is the result of multiplying those two factors together. For example, in x^2, x is the factor multiplied by itself (x * x).

Front

How do you evaluate the expression 3 x 7 + 2^3 ÷ (3 + 1)?

Back

First, calculate the exponent: 2^3 = 8. Then, evaluate the parentheses: (3 + 1) = 4. Now, substitute: 3 x 7 + 8 ÷ 4 = 21 + 2 = 23.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the value of 4(3x + 7)?

Back

To find the value of 4(3x + 7), use the distributive property: 4 * 3x + 4 * 7 = 12x + 28.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.