Basic Equivalents
Distributive Property
Combining Expressions
Factoring Expressions
Simplifying Expressions with Variables
100

The expression 3x + 4x is equivalent to this.

What is 7x?

100

Use the distributive property to simplify: 3(x + 2).

What is 3x + 6?

100

Combine terms: x + 4 + 3x + 2.

What is 4x + 6?

100

Factor the expression: 6x + 12.

What is 6(x + 2)?

100

Simplify: 2a + 3a.

What is 5a?

200

Combine like terms: 5y + 2y.
 

What is 7y?

200

Apply the distributive property to simplify: 2(4y + 5).

What is 8y + 10?

200

Simplify: 2x + 3x + 4 - 2.

What is 5x + 2?

200

Factor the expression 8y + 16.

What is 8(y + 2)?

200

Simplify: 4x - 2x.

What is 2x?

300

Simplify the expression 6a + 8a - 3a.

What is 11a?

300

Simplify using the distributive property: 5(2a + 3) - 4a.

What is 10a + 15 - 4a or 6a + 15?

300

Combine and simplify: 5y - y + 3y + 7.

What is 7y + 7?

300

Factor: 5a + 15.

What is 5(a + 3)?

300

Simplify: 7b + 10 - 3b.

What is 4b + 10?

400

Combine like terms in 4b + 3b + b.
 

What is 8b?

400

Simplify: 7(x - 1) + 2x.

What is 9x - 7?

400

Simplify: 8n - 2n + 6 + 4.

What is 6n + 10?

400

Factor completely: 9k + 18m.

What is 9(k + 2m)?

400

Simplify: 5c + 2c - c + 4.

What is 6c + 4?

500

Simplify 9m - 4m + 6m - m.

What is 10m?

500

Use the distributive property to simplify: 4(3b + 5) - 2b.

What is 12b + 20 - 2b or 10b + 20?

500

Combine: 10p + 3p - 4 + 8p + 2.

What is 21p - 2?

500

Factor the expression: 12p + 18q.

What is 6(2p + 3q)?

500

Simplify: 8d - 4 + 5d + 3.

What is 13d - 1?