Equivalent Expressions Review

Front

What are equivalent expressions?

Back

Equivalent expressions are different expressions that have the same value for all values of the variable(s) involved.

Front

How do you distribute in an expression like 9(6 + x)?

Back

To distribute, multiply each term inside the parentheses by the factor outside: 9(6 + x) = 9 * 6 + 9 * x.

Front

What is the result of simplifying the expression 4(3 + y)?

Back

The simplified expression is 12 + 4y.

Front

What is the first step in simplifying the expression 24 ÷ (4 + 2) - 1 × 10?

Back

The first step is to evaluate the expression inside the parentheses: 4 + 2 = 6.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What mistake did Jay make when simplifying -3 x (3 + 12 ÷ 3) - 4?

Back

Jay mistakenly added 3 + 12 instead of performing the division first.

Front

What is the value of 12 ÷ 3?

Back

The value of 12 ÷ 3 is 4.

Front

How do you identify equivalent expressions?

Back

To identify equivalent expressions, simplify both expressions and check if they yield the same result for all values of the variable(s).

Front

What is the result of 9(6 + x) when x = 2?

Back

When x = 2, 9(6 + 2) = 9 * 8 = 72.

Front

What is the simplified form of the expression 3(2 + 4)?

Back

The simplified form is 3 * 6 = 18.