Equations

One-Step Equations

100

a + 6 = 11

a = 5

200

b - 17 = 4

b = 21

300

9c = -81

c = -9

400

d/6 = -5

d = -30

500

e² = 25

e = 5 (500 points)

e = 5 or -5 (+200 extra points)

Two-Step Equations

100

3x + 8 = 23

x = 5

200

y/3 - 11 = 0

y = 33

300

-5x - 20 = -40

x = 4

400

z/8 + 53 = 57

z = 32

500

12m - 33 = 111

m = 12

Problems with Like Terms

100

Combine the like terms and simplify:

6a + 3b + 2a + 4b

8a + 7b

200

Combine the like terms and Simplify:

6x - 3 - 4x + 11

2x + 8

300

7x - 5 - 3x = 31

x = 9

400

7 + 9n - 11 - 2n + 7n = 24

n = 2

500

Combine the like terms and simplify:

10a - 7b + 3c + 4b + 10b - 9a + 4c - 7c + 2b

a + 9b

Distributive Property

100

Simplify:

3 (x + 2)

3x + 6

200

Simplify:

-4 (2y - 5)

-8y + 20

300

Distribute and solve:

7 (2x + 1) = 35

x = 2

400

8 + 3 (6y - 3) = 17

y = 1

500

4 (x - 7) + 3 (4 + 2x) = -16

x = 0

Word Problems

100

Alberto earned his weekly allowance for doing chores. Then, he found $20 on the ground. In total, he has $45 now. How much is his weekly allowance?

$25

200

Briana and her 3 friends went to dinner. Together, the bill was $76. How much will each person pay if they divide the bill evenly?

$19 each

300

For a field trip, 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

52 students per bus

400

On Tuesday, Diana bought five hats. On Wednesday, she donated half of her hats to charity. On Thursday there were only 17 left. How many did she have on Monday?

She started with 29 hats.

500

400 minus 4 times Eric's age is 192. How old is Eric?

52 years old