Simplifying and Solving Equations

Simplifying Expressions

100

Simplify the following expression: 3x + 9x

12x

200

Simplify the following expression: 4(y + 6) + 9

4y + 33

300

Simplify the following expression: -7(x + 2) + 4x

-3x - 14

400

Simplify the following expression: 8x + 2x - 3y - 9x

x - 3y

500

Simplify the following expression: 8 + 3p and 3p + 1

6p + 9

Solving Multistep Equations

100

Solve for a: 4a + 3 = 11

a = 2

200

Solve for y: 15y + 31 = 61

y = 2

300

Solve for x: 28 = 8x + 12 - 7x

x = 16

400

Solve for x: 2(x + 3) = 10

x = 2

500

Solve for p: 17 = 3(p - 5) + 8

p = 8

Solving Equations

100

Solve for y: 5(2y + 3) = 6y - (7 - 2y)

y= -11

200

Solve for x: 2.3x +2.8 = -1.2x + 9.8

x= 2

300

solve for v: 20(v +2.50) = 15(2.5v +1)

v= 2

400

Solve for x: 1/2(6x - 4) + 6x = -12(1/6x + 2)

x= -2

500

Solve for x: 0.3(10 - 5x) = 31.5 - (8x + 9)

x= 3

Equations with Variables on Both Sides

100

Solve for x: 7x - 1 = 4x + 5

x = 2

200

Solve for w: 2w + 3 = 4w - 5

w = 4

300

Solve for y: 15y + 14 = 2(5y + 6)

y = -.4

400

Solve for d: 4(3d - 2) = 8d - 5

d = .75

500

Solve for a: 5(5a + 3) = 14a - 29

a = -4

Variables on Both Sides

100

-g + 2(3 + g) = -4(g + 1)

g= -2

200

12 - (4y + 8) = 0.5(8y -16)

y= 1.5

300

0.6(4 - 2x) = 20.5 - (3x + 10)

x=4.5

400

1/2(-4 + 6n) = 1/3n + 2/3(n +9)

n= 4

500

1/5(5x - 5) + 3x = -9(1/3x + 4)

x= -5