Equivalent Expressions

Distributive Property

100

6(9+5)

84

200

4(x+4)

4x + 16

300

(2y - 7)5

10y - 35

400

3z(1-y)

3z - 3zy

500

5( 8 + z - 3t)

40 + 5z - 15t

Combining Like Terms

100

6 + 17 - 8

15

200

13x + x - 2x

12x

300

24y + 16 +3y -8

27y + 8

400

12 - 4 +xy +y +10

18 + xy + y

500

2x + 15 +10x -6 + x²

12x +9 + x²

Factoring

100

12 + 6

6(2+1)

200

2x- 10

2 (x-5)

300

14x-21x

7x(2-3)

400

15x+20xy

5x(3+4y)

500

18 + 10x - 8y

2(9+ 5x - 4y)

Prime Factorization

100

Prime Factors of 8

2³

200

12

3·2²

300

64

2⁶

400

46

2·23

500

75

3·5²

Simplified Expressions

100

y+ y+ y+ y+y

5y

200

m·m·m·m

m⁴

300

(3+z) + (3+z)

2(3+z)

400

(x-y+2) + (x-y+2) +(x-y+2) + (x-y+2) +(x-y+2)

5(x-y+2)

500

(p·p) + p²

2p²