Algebra and Rationals Review

Expressions

100

If x = 2, what is the value of 2x - 1?

3

200

If x = 7, what is the value of x² - 14?

35

300

If x = 3 and y = 4, what is the value of 2x - 3y

-6

400

If x = 5 and y = 4, what is the value of x² - y²?

9

500

For x = 2, y = -3, z = -4, what is the value of 2x - 3y + z?

7

One-step equations

100

Solve for x: x + 2 = 8

x = 6

200

Solve for x: x - 7 = 16

x = 23

300

Solve for x: 2x = 20

x = 10

400

You have some packs of gum. In each pack, there are 6 pieces. Write an equation for the total pieces of gum. How many pieces are there in 5 packs?

T = 6G

30 pieces total

500

There are 2 more boys than girls in class. Write an equation to represent this situation. How many boys are there if there are 14 girls?

B = G + 2

16 boys

Multi-step equations

100

Solve for x: 4x - 5 = 19

x = 6

200

Solve for x: 3x - 6 = 15

x = 7

300

Solve for x: 6x - 4 = 13x - 25

x = 3

400

Solve for x: 7(2x-4) = 14

x = 3

500

There are 3 more girls than 4 times the number of boys in a class. If there are 19 girls, how many boys are in the class? Write an equation and solve it.

4 boys

Inequalities

100

Is v = 8 a solution to v < 10?

Yes

200

Solve for g: 5g < 30

g < 6

300

Solve for k: 6k + 4 < 2k - 8

k < -3

400

Solve for n: -2n + 3 < 15

n > -6

500

Dylan is organizing a hockey tournament. The rink charges $100/hour to rent. He books it for 6 hours. He will charge each of the 12 teams an entrance fee. How much must he charge to make a profit?

$50

Operations with Rationals

100

(-4) - (+3)

-7

200

9 + (-11)

-2

300

-1/4 x 5/6

-5/24

400

4/7 + 3/4

37/28 or 1 9/28

500

2 1/2 - 1 1/3

1 1/6 or 7/6