Algebraic Expressions Test Review

Distributing

100

3(2x + 4)

6x+12

200

-(4x - 5)

-4x + 5

300

-11(x² + 2x - 3)

-11x² - 22x + 33

400

1/4(12x + 16y - 20)

3x + 4y - 5

500

1.2(2x - 4y) - 2.3(6b - 2c)

2.4x - 4.8y - 13.8b + 4.6c

Combining Like Terms

100

4x - 6x + x

-x

200

12x + 4 - 8x -3

4x + 1

300

-30x + 12y -10x + 5 - 2y

-40x + 10y + 5

400

-2y + 1.5x + 26 - 4.6x + 2y - 7

-3.1x + 19

500

2/5x - 2/3y + 3/5 - 6/7 + 1/4x - 4/5y

13/20x - 22/15y - 9/35

Factoring

100

2x² - 6x

2x(x - 3)

200

4x - 8y + 20

4(x - 2y + 5)

300

45xy - 30y

15y(3x - 2)

400

24x³ - 16x² - 72x

8x(3x² - 2x - 9)

500

52x + 104y + 26z - 156

26(2x + 4y + z - 6)

Evaluatex = 4, y = 2, z = -3

100

x = 4, y = 2, z = -3

3(2z - y)

-24

200

x = 4, y = 2, z = -3

3x - 2z + 10

28

300

x = 4, y = 2, z = -3

xz + y

-10

400

x = 4, y = 2, z = -3

1/2x - 4.5z - y²

19.5

500

x = 4, y = 2, z = -3

2/3(x² - y²) - 1.7z

13.1

Simplifying

100

2(5x - 8) + 4x

14x - 16

200

3x -(4y - 2x) + 11y

5x + 7y

300

5 - 6(5x - 3y) + 18 - 12x

-42x +18y + 23

400

-7(4x -9y - 12z) - 8(6x - 11y)

-76x + 151y + 84

500

3/5(10x + 25y) - 3/4(32x - 48y)

-18x + 51y