Learning Target 1: Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value for all values of the variable(s) involved.

Front

How do you determine if two expressions are equivalent?

Back

To determine if two expressions are equivalent, substitute the same value for the variable(s) in both expressions and check if the results are equal.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What is the result of applying the distributive property to 3(2x - 7)?

Back

The result is 6x - 21.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the first step in simplifying the expression 4(2x - 5) + 6x?

Back

The first step is to apply the distributive property: 4 * 2x - 4 * 5 + 6x.

Front

What is the value of the expression 30a - 24 when a = 1?

Back

The value is 30(1) - 24 = 6.

Front

What is the value of the expression 4(7a - 6) when a = 1?

Back

The value is 4(7(1) - 6) = 4(1) = 4.

Front

What does it mean for two expressions to be equal when evaluated at a specific value?

Back

It means that when you substitute that value into both expressions, they yield the same numerical result.