Free Printable 3rd 9 Weeks Algebra I Review

1.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

2.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

3.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

4.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

5.

Which of the following graphs best describes a system with no solution?

a)

b)

c)

d)

6.

In which step does a mistake first appear?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

7.

What is the value of x in the solution to the system of equations?

a)

1

b)

5/3

c)

8/3

d)

7/3

8.

Which graph does not represent y as a function of x?

a)

b)

c)

d)

9.

An architect is designing an office building with n floors that will have an FM radio antenna 15.85 meters tall on its roof. Each floor of the building will be 3.9 meters high. Which function can be used to find the total height of the building in meters, including the FM antenna?

a)

h(n) = 15.85n + 3.9

b)

h(n) = 3.9n + 15.85

c)

h(n) = 3.9n - 15.85

d)

h(n) = 19.75n

10.

Which graph represents -3x + 5y = -15

a)

b)

c)

d)

11.

What is the 25th term of the sequence 6, 2, -2, -6, ...?

a)

-98

b)

-94

c)

-90

d)

-86

12.

a)

3, 84

b)

1, 76

c)

2, 80

d)

3, 75

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

e)

E

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

Solve:

5x + 4 = 5x − 3

a)

x = 4

b)

x = -3

c)

infinitely many solutions

d)

no solutions

31.

$h\left(n\right)=-n-1$ at n=9

a)

h(9)=9

b)

h(9)=5

c)

h(9)=8

d)

h(9)=-10

32.

Evaluate $f\left(t\right)=t^2+5$ at $t=5$

a)

f(5)=5

b)

f(5)=25

c)

f(5)=30

d)

f(5)=15

33.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

34.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

35.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

36.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

37.

Which of the following situations could be descried by the equation y=120-25x?

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

38.

Billy's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. How many hours of labor did the mechanic work on the car if her total bill was $260?

a)

3 hours

b)

12 hours

c)

2.5 hours

d)

5 hours

39.

Laura is 3 years older than twice Joseph's age. If Laura is 27 years old, how old is Joseph?

a)

12

b)

15

c)

24

d)

30

40.

y=|x+1|−4

a)

A

b)

B

c)

C

d)

y=D

41.

y=|x|−2

a)

A

b)

B

c)

C

d)

D

42.

Calculate the zeros of the quadratic.

a)

x = 6 and 3

b)

x = 1 and 0

c)

x = 0 and 3

d)

x = 3 and 1

43.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

44.

What are the zeros of the quadratic function?
y = x² - 2x - 15

a)

x = -2
x = -15

b)

x = -3
x = 5

c)

x = 3
x = -5

d)

x = 1
x = -16

45.

Find the zero(s) of the function: y = 4x² - 4x + 1

a)

-3 and 1.33

b)

0.50 only

c)

0.50 and 0

d)

0 and 2

3rd 9 Weeks Algebra I Review

Total questions: 45

Worksheet time: 2hrs 15mins

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