Solving Equations Review

2-Step Equations

100

Solve for the given variable: 2x - 3 = 7

What is x=5

200

Solve for the given variable: 6y + 7 = 43

What is y=6

300

Solve for the given variable: -z - 13 = 3

What is z= -16

400

Solve for the given variable: 6/5w - 18/5 = 12/25

What is w=17/5

500

Solve for the given variable: 1/2h + 1/3 = 2/6

What is h=0

Multi-Step Equations

100

Solve for the given variable: 5 = 5m - 23 + 2m

What is m= 4

200

Solve for the given variable: 18 = 3(2x - 6)

What is x = 6

300

Solve for the given variable: -2(3x - 8) - 2x = 32

What is x = -2

400

Solve for the given variable: 3b/4 - b/3 = 10

What is b = 24

500

Solve for the given variable: 7/2 - 1/50x = 31/25

What is x = 113

Variables on Both Sides

100

Solve for the given variable: 5t + 2 = 2t + 14

What is t = 4

200

Solve for the given variable: 2(5x - 1) = 3(x + 11)

What is x=5

300

Solve for the given variable: 10y + 12 = 2(5y+6)

What is y=no solution

400

Solve for the given variable: 3(h - 4) = -1/2(24 - 6h)

What is h=infinitely many solutions

500

Solve for the given variable: 0.06(0.05x - 0.1) = 0.2x +0.3

What is x = 9

Literal Equations

100

Solve for W: P = 2L + 2W

What is W = (P - 2L)/2

200

Solve for w: R = (L+3w)/2

What is w= (2R-L)/3

300

Solve for n: S = C + nC

What is n = (S/C) - 1 or (S-C)/C

400

Solve for u: (u - v)/y = x

What is u=xy + v

500

Solve for n: mx + nx = p

What is n = (p/x) - m

Word Problems

100

Write an equation and solve for the given scenario. Five friends equally split a restaurant bill that comes to $32.50. How much does each person pay?

What is 5x = 32.50 $6.50 per person

200

Write an equation and solve it for the given scenario. You work for 4 hours on Saturday and 8 hours on Sunday. You Receive a $50 bonus. You earn $164. How much did you earn per hour?

What is 4h + 8h + 50 = 164; $9.50 per hour

300

Write an equation and solve given the scenario. Two buildings have the same total height. One building has 8 floors with height h. The other building has a ground floor of 16 ft and 6 other floors with height h. What is the height of the floors with height h?

What is 8h = 16 + 6h; 8ft per floor.

400

Write the equation and solve it. A triangle has a height of 15in and area of 120 squared inches. Given A=(bh)/2, what is the length of the base?

What is b= 16in

500

Set up and solve the equation. A train makes a trip at 65mi/h. A plane traveling 130 mi/h makes the same trip in 3 fewer hours. How long was the trip?

What is d/65 = d/130 + 3 d=390 miles