Grade 8 - Algebra Review

Solving for X

100

x + 5 = 12

x = 7

200

3x = 18

x = 6

300

x − 4 = 9

x = 13

400

5x + 2 = 17

x = 3

500

4x − 7 = 3x + 5

x = 12

Expanding

100

3(x + 4)

3x + 12

200

5(x − 2)

5x − 10

300

2(3x + 1)

6x + 2

400

−4(x + 3)

−4x − 12

500

3(2x − 4) + 5(x + 1)

11x − 7

Simplifying

100

4x + 3x

7x

200

6y − 2y

4y

300

5x + 3 + 2x + 7

7x + 10

400

8a − 3a + 4

5a + 4

500

4x + 3(x − 2) − 2x + 7

5x + 1

Multi-Step

100

Solve 2x + 3 = 11

x = 4

200

Solve 3(x + 2) = 15

x = 3

300

Solve 4x − 5 = 11

x = 4

400

Solve 2(x − 4) = 10

x = 9

500

3(x − 2) + 4 = 2x + 10

x = 12

Word Problems

100

A movie ticket costs 10 dollars plus 2 dollars for popcorn.
Write an equation and find the total cost.

10 + 2 = 12
Total cost is 12 dollars

200

A gym charges 15 dollars plus 5 dollars per class.
How much does it cost to attend 3 classes?

15 + 5c
15 + 5(3) = 30
Total cost is 30 dollars

300

A video game awards 5 points per level plus 10 bonus points.
If the total score is 45 points, how many levels were completed?

5L + 10 = 45
5L = 35
L = 7

400

A taxi charges 4 dollars plus 2 dollars per kilometre.
If the total cost is 28 dollars, how many kilometres were travelled?

4 + 2k = 28
2k = 24
k = 12

500

A skating rink charges 6 dollars to enter plus 3 dollars per hour.
A group coupon takes 9 dollars off the total cost.
If the final cost is 24 dollars, how many hours did the person skate

6 + 3h − 9 = 24
3h − 3 = 24
3h = 27
h = 9