Simplifying Algebraic Expressions

Combine Like Terms

100

Simplify the expression. 11x+9-7

11x+2

200

Simplify the expression. 4v-5-6v

-2v-5

300

Simplify the expression. 8s-11s+6

-3s+6

400

Simplify the expression. 8+4a+6-9a

14-5a

500

Simplify the expression. 5y-4+7-9y

-4y+3

Distribute

100

Simplify. 3(q+1)

3q+3

200

Simplify. -4(q+7)

-4q-28

300

Simplify. 4(3x+12)

12x+48

400

Simplify. -3(4x-10)

-12x+30

500

Simplify. -6(-3x+6)

18x-36

Simplify Algebraic Expressions

100

Simplify. 4(b-6)+19

4b-5

200

Simplify. 4(-3p+6)-3

-12p+21

300

Simplify. 4x-5(x+6)

-x+6

400

Simplify. 3(5-2n)+9n

15+3n

500

Simplify. -2(x-6)+3(x+5)

x+27

Add/Subtract Polynomials

100

Simplify. (-3x + 12) + (7x - 16)

4x-4

200

Simplify. (-15m + 26) + (8m -12)

-7m + 14

300

Simplify. (12p+14) - (26+2p)

10p-12

400

Simplify. (2 - 15g) - (2g - 7)

-17g+9

500

Simplify. (-8x+ 2) - (8x + 5) + (15x + 5)

-x + 2

Challenge

100

Simplify.  x² + x - x² - x + x - x + x² - x²

0

200

Simplify.  3xy² + 3x²y + 3y² + 3x²

3xy² + 3x²y + 3y² + 3x²

300

Write an expression that simplifies to 2x + 4.

( __ + __ ) + ( __ - __ )

( __ + __ ) + ( __ - __ )

Answer will vary

400

Write an expression that simplifies to 5y - 7.

( __ + __ + __ ) + ( __ - __ + __ )

( __ + __ + __ ) + ( __ - __ + __ )

Answers will vary

500

Write an expression that simplifies to 3x² + 6x - 9.

( __ + __ + __ ) + ( __ - __ + __ )

( __ + __ + __ ) + ( __ - __ + __ )

Answers will vary.