7th 4-8 Analyze Equivalent Expressions

Front

What is an equivalent expression?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parentheses.

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 unnecessary parentheses.

Front

What is the result of (2x + 5) - (x + 4)?

Back

x + 1

Front

How do you find the difference between two expressions?

Back

To find the difference, subtract the second expression from the first, ensuring to distribute any negative signs.

Front

What is the equivalent expression for 43% off an original price b?

Back

0.57b

Front

What is the result of (7a + 4) - (9a + 2)?

Back

-2a + 2

Front

How do you express a decrease of 12% in terms of original value v?

Back

The new value is 0.88v.

Front

What is the result of -r - 10r?

Back

-11r