Unit 6: Mid-Unit Review

1-Step Equations

100

Find the value of x.

x + 5 = 45

x = 40

200

-9x = 36

x= -6

300

Find the value of a.

4a + 2a = 48

a=8

400

Three times a number is 48. What is the number?

16

500

16.2% of a number is 48.6. What is the number?

300

2-Step Equations

100

3x + 2 = 8

x = 2

200

1.5s + 3 = 7.2

s = 2.8

300

4.5d - 3.2 = -18.5

d = -3.4

400

1.2 = 2a/3 + 5.1

a = -5.85

500

The perimeter of a rectangle is 32 cm. The length of the rectangle is 5x + 1, the width is 4x - 3. Solve for x.

x = 2

Distributive Property

100

4(x + 7)= 40

x = 3

200

2(x - 3)-5 = 1

x = 6

300

0.75(n - 120) = 0.25(n - 30)

n = 165

400

8 - 3g = 4(g - 3) + 6

g = 2

500

3(2x + 1) - (x - 2)= 2(3x + 4)

x = -3

Rational Coefficients(lowest common multiple)

100

What is the LCM of 18 & 12?

36

200

x/4 = 2

x = 8

300

y/6 + 2 = 1/3

y = -10

400

(2d + 1)/3 = -5

d = -8

500

3/2(1 + 3r) = 2/3(2 - 3r)

r = -1/39

Word Problems

100

Three times a number is -3.6. What is the number?

-1.2

200

The sum of two consecutive numbers is 73. What are the numbers?

 36 & 37

300

The drive to Edmonton is eight times longer than the drive to Fort McKay. If the length of both trips is 540km, what is the distance from Fort McMurray to each destination?

To Fort McMay: 60km

To Edmonton: 480km.

400

Aisha wants to buy a new pair of jeans. The ones they like are on sale for 25% off. If the original price of the jeans is $80, what will be the final cost of the jeans after 5% GST is added?

$63.

500

Martin has 15 coins made up of dimes and quarters. The total value of the coins is 3.30, how many of each coin does Martin have? (Answer in a full sentence)

Martin has 3 dimes and 12 quarters.