Algebra 1 Part 1 Semester 1 Final Review

Real Numbers

100

Evaluate: 12 – (-4) =

16

200

Evaluate: 16÷ (-3/9)

- 48

300

Evaluate if x = -2, y = -3, and z = 2.5

 3(x + y) – (x – 2) =

-11

400

Evaluate if x = -4, y = -5, and z = 2

 2x² - y – 3(x – z² ) =

61

500

Choose the correct translation of “five plus the product of eight and a number.” 

a. 5 - 8x   b. 5÷8x   c. 5 + 8x 

d. 8x – 5   e. 8x÷5

c. 5 + 8x

Order of Operation

100

Simplify: 

7 x 11 +14 ÷ 7

79

200

Solve: 

10 x 10 x ( 2 - 6 )

-400

300

Solve:

 4 x (10 x 5 - 4 ) - 6

178

400

Solve: 

(6 + 30 x 2 – 1) - 8² =

1

500

12+6²÷(1+4x2)-3x2² =

4

Equations

100

Simplify the expression: 10x – 3 + 4 – 2x.

8x + 1

200

Which algebraic expression is equivalent to: -5(4x – 2) + 3x 

a. -17x - 10 b. -23x - 10 c. -17x + 10 

d. -23x + 10  e. 2x – 7

c. -17x + 10

300

Solve the equation: 2/3x = -6

x = -9

400

Solve the equation: 

4(2x - 8)+12x = 6(2x - 1)–2

x = -3

500

x - (2x+1) - 4 = -3(2x+1) - 12

x = -2

Proportions

100

Solve: -5/7=x/42

x = -30

200

Solve:

 4/9=x/(x-10)

x = -8

300

Solve: 

(x+4)/5=-3/15

x = -5

400

Solve: 

9/(x+8)=3/(3-x)

x = 1/4

500

Solve: 

(x+8)/6=(3x+4)/12

x = 12

Real World Problems

100

Suzie rents a bicycle for 3 hours. The deposit is $12, and she has to pay an hourly fee. If her total bill is $22.50, what is the hourly fee?

$3.50

200

You are making potato salad for a family picnic. You can peel 2 potatoes per minute. You need 30 peeled potatoes in all. How long will it take you to finish peeling potatoes if you have already peeled 12 potatoes? 

9 minutes to peel the remaining potatoes

300

Chuck jogged the same distance on Tuesday and Friday, and 8 miles on Sunday, for a total of 20 miles for the week. How many miles did he jog on Tuesday?

Chuck jogged 6 miles on Tuesday.

400

You can stuff 108 envelopes in 45 minutes. At this rate, how many envelopes can you stuff in 2 hours?

In 2 hours you can stuff 288 envelopes

500

You want to exchange $60 Canadian dollars for US dollars. $12 Canadian dollars is worth $8.19 in US currency. How much is the 60 Canadian dollars worth in US currency?

x = $40.95