Equivalent Expressions

Combining Like Terms

100

Simplify the following expression:

5a+3a-1

8a-1

200

Simplify the following expression:

6b+2a+b

7b+2a

300

Simplify the following expression:

2x²+3x-x²+5x

x²+8x

400

Simplify the following expression:

3m+4n-2m+n-5n

m

500

Simplify the following expression:

2x-y+3x+4y-x-2y

4x+y

Distributive Property

100

Simplify the following expression:

2(x+3)+4x

6x+6

200

Simplify the following expression:

4(2b-1)+3b

11b-4

300

Simplify the following expression:

2(3y-4)-y

5y-8

400

Simplify the following expression:

2(5b+2)-3(b-4)

7b+16

500

Simplify the following expression:

3(4y-1)+2(2y+3)-y

15y+3

Factoring

100

Factor the following expression:

6x+12

6(x+2)

200

Factor the following expression:

12b-18

6(2b-3)

300

Factor the following expression:

14x²+21x

7x(2x+3)

400

Factor the following expression:

18b²-27b

9b(2b-3)

500

Factor the following expression:

28x³+35x²

7x²(4x+5)

Fun with Fractions

100

Simplify the following expression:

(1/2)x+(3/4)x

(5/4)x

200

Simplify the following expression:

(3/4)(4z-8)

3z-6

300

Factor the following expression:

(2/5)x-(4/5)

(2/5)(x-2)

400

Simplify the following expression:

(2/3)(3x+(9/2))

2x+3

500

Simplify the following expression:

(1/2)(4x+6)-(1/3)(3x-9)

x+6