Free Printable Algebra 1 Final Review

1.

Brenda's gym charged $10 fee to join plus $29 per month. She calculated that the gym has cost her a total of $155 since she joined. Which equation could be used to determine the number of months(m) Brenda has been going to the gym?

a)

10m + 29 = 155

b)

10 + 29 = 155m

c)

10 + 29m = 155

d)

m + 29 = 155 - 10

2.

Ellie bought cookies and cupcakes from Giant for $102.44. If she spent $36.44 on cookies and the cupcakes are $11 per box, which equation represents how many boxes of cookies she bought?

a)

102.44 + 36.44x = 11

b)

102.44x + 11 = 36.44

c)

11x + 36.44 = 102.44

d)

$\frac{11}{x}+\ 36.44\ =102.44$

3.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

a)

8

b)

9

c)

7

d)

10

4.

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

a)

800 + 5x = 4000

b)

800x + 5 = 4000

c)

4000 + 5x= 800

d)

800 + 5 = 4000

5.

Solve for y
$A\ =\ 5xy$

a)

$y\ =\ A\ -\ 5x$

b)

$y\ =\ A5x$

c)

$y\ =\ \frac{A}{5x}$

d)

$y\ =\ \frac{5x}{A}$

6.

Solve the formula for y. What is the 1st step?

a)

Subtract B from each side.

b)

Divide each side by Ax.

c)

Divide each side by B.

d)

Subtract Ax from each side.

7.

$\ u\ =\ bak\$ Solve for a

a)

$a=\frac{u}{bk}$

b)

$a\ =\ \frac{bk}{u}$

c)

$a\ =\ -\frac{bk}{u}$

d)

$a=-\frac{u}{bk}$

8.

$V\ =\ lwh$ Solve for h.

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

9.

In the coordinate points (2,7) the 2 represents

a)

y

b)

origin

c)

x

d)

point

10.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

11.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

12.

What letter is located at (8, 5)?

a)

A

b)

B

c)

C

d)

D

13.

The __ - axis is vertical in the coordinate plane.

a)

X

b)

Y

c)

Z

d)

None of the above

14.

Which axis runs horizontally?

a)

x

b)

y

15.

What is the meaning of the y-intercept?

a)

The weight in the bucket increases by 1 pound per pound of sand.

b)

Before sand is put in the bucket, it weighs 1 pound.

c)

The starting weight of the sand is 1 pound.

d)

The weight in the bucket decreases by 1 pound per pound of sand.

16.

The graph shows the height (cm) of a candle as it burns, what does the y-intercept mean?

a)

Candle starts at 9 cm.

b)

Candle start at 4.5 cm

c)

Candle starts at 0 cm.

d)

The candle ends at 5 cm

17.

Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?

a)

After 4 hours of work, Derek makes $37.

b)

Derek needs $4 more to have $37 total.

c)

After working for 4 days, Derek makes $37 total.

d)

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

18.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

19.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

20.

4x - 2y = 7
x + 2y = 3
What are x and y?

a)

x = 2, y = 2

b)

x = 1/2, y = 2

c)

x = 2, y = 1/2

d)

x = 2, y = -2

21.

Solve the system given:
3x - y = 7
2x + y = 3

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

22.

-3(2c-5)=15

a)

-5

b)

5

c)

0

d)

6

23.

x=2x-4

a)

-4

b)

4

c)

-4/3

d)

3/4

24.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

25.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

26.

5(x-3)=40

a)

11

b)

43/5

c)

38

d)

37/5

27.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

Yes, it is a solution.

b)

No, it is not a solution.

28.

$z<10$

How do you read this inequality?

a)

z is less than or equal to 10

b)

z is greater than or equal to 10

c)

z is less than 10

d)

z is greater than 10

29.

Choose all of the solutions to the linear inequality.

a)

(0, 0)

b)

(0, -4)

c)

(-7, 3)

d)

(-2, 2)

30.

Choose all of the solutions to the linear inequality.

a)

(0, -5)

b)

(0, 0)

c)

(5, 5)

d)

(-5, 2)

31.

a)

(5, 2)

b)

(0, 4)

c)

(-2, -5)

d)

(7, -3)

32.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

33.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

34.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

35.

Which of the following is a solution to the systems of inequalities?

a)

(0, -2)

b)

(-3, 0)

c)

(-3, 2)

d)

(1, 1)

36.

Which of the following is a solution to the systems of inequalities?

a)

(1, -5)

b)

(2, 3)

c)

(-2, 3)

d)

(-1, 1)

37.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

38.

I was told by my boss to buy pounds of hamburger meat for $6 each and packages of hotdogs for $4 each. I was told to spend at most $100. Which inequality matches my situation?

a)

6x + 4y $<$ 100

b)

6x + 4y $>$ 100

c)

6x + 4y $\le$ 100

d)

6x + 4y $\ge$ 100

39.

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

a)

x + y ≤ 8

b)

x + y ≤ 6

c)

2x + 3y ≤ 6

d)

x + y ≤ 10

40.

The drama department has set a fundraising goal of at least $2,400 , which students will try to meet or exceed by selling two kinds of popcorn. There are profits of $3 for each container of caramel popcorn (x) and $1 for each container of chocolate-covered popcorn (y). Select the inequality that describes the situation.

a)

3x + y $\ge$ 2,400

b)

3 + x + 1 + y $\le$ 2,400

c)

3x + y $\le$ 2,400

d)

3 + x + 1 + y $\ge$ 2,400

Algebra 1 Final Review

Total questions: 40

Worksheet time: 2hrs 38mins

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