Finding Equivalent Equations

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as another equation, meaning both sides of the equation are equal when simplified.

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 parenthesis.

Front

What is the result of combining 3x + 5 + 7x + 2?

Back

10x + 7

Front

How do you apply the distributive property to 5(2f + 4)?

Back

5(2f + 4) = 5*2f + 5*4 = 10f + 20.

Front

Which expressions are equivalent: 9(6 + x) or 9 ⋅ 6 + 9 ⋅ x?

Back

They are equivalent because of the distributive property.

Front

What is the result of (10 - 6) ÷ y and 10 - (6 ÷ y)?

Back

They are not equivalent.

Front

What is the equivalent expression for 4 + (3 ⋅ y)?

Back

It is not equivalent to (4 + 3) ⋅ y.

Front

What is the equivalent expression for 12 - (y ⋅ 2) and 12 - (2 ⋅ y)?

Back

They are equivalent because subtraction is commutative.

Front

If Frank had $65 and spent $2 per day for 7 days, how much did he spend?

Back

He spent $14.