Enrichment Review: Simplifying & Solving Equations

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

Simplify: (b + 8)5

Back

5b + 40

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: 3(2c - 5)

Back

6c - 15

Front

What is the solution to the equation 6x = 30?

Back

x = 5

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve for a: 6 - 3a = 21

Back

a = -5

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has no variables raised to a power greater than one.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the purpose of simplifying expressions?

Back

Simplifying expressions makes them easier to work with and understand, especially when solving equations.