Simplifying Algebraic Expressions

Identify the Property

100

Tell which property is shown: (x + 3) + 2 =  x + (3 + 2)

AP of Addition

200

Tell which property is shown: (1+ y) + 9 = (y + 1) + 9

CP of Addition

300

Tell which property is shown:2(g + 6) = 2g + 12

DisTributive Property (DP)

400

Tell which property is shown: 0p = 0

Multiplication Property of 0

500

Tell which property is shown: v + 0 + 2.7 = v + 2.7

Addition Property of 0

Combine Like Terms (Basic)

100

Simplify the expression. 11x+9-7

11x+2

200

Simplify the expression. 4.2v - 5 + 6.5v

8.7v - 5

300

Simplify the expression. 8s + 11s + 6

19s+6

400

Simplify the expression. 8+4a-6.2+9a

1.8 + 13a

500

Simplify the expression: 4 + (y + 1)

5 + y

Distribute (Basic)

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(x+6)

6x+36

Write Phrase and Evaluate

100

Evaluate when x = 2; 2x + 11

15

200

Evaluate when p = 8; 2(p - 5)

6

300

Write the phrase as an expression: The product of 4 and a number y.

4y

400

Write the phrase as an expression: 5 less than the product of 3 and a number x.

3x - 5

500

Write the phrase as an expression: A number w less than the quotient of 9 and a number k.

9/k - w

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)

9x+30

400

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

15+3n

500

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

5x+27