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Algebra 1 Final Exam (Objective) - Printable Mathematics Worksheets - Wayground

Algebra 1 Final Exam (Objective)

30 questions

9th - 12th Grade

Mathematics

This free printable Algebra 1 Final Exam (Objective) worksheet is designed for students in Grades 9–12. Its 30 questions—28 multiple choice and 2 multiple select—review core algebra skills including writing and converting linear equations to slope-intercept form, identifying slope and y-intercept, representing inequalities in interval notation, interpreting systems of equations, and reading data displays. Students also identify features of quadratic graphs, including the vertex, y-intercept, axis of symmetry, and parabola, and classify exponential growth. Use this mathematics worksheet as a cumulative review, unit assessment, or final exam practice activity. The objective format gives students repeated practice selecting precise answers from closely related options, such as distinguishing open and closed interval endpoints or separating a parabola’s vertex from its y-intercept. It is available as a free printable worksheet with a complete answer key, helping teachers check readiness across several Algebra 1 concepts.

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Algebra 1 Final Exam (Objective)

Total questions: 30

Name
Class
Date
1.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

a)

y = -2x + 2

b)

y = 2x + 2

c)

y = 1/2x- 2

d)

y = -1/2x + 2

2.

Convert to the following equation to slope-intercept form:


5x + 3y = 12

a)

3y = -5x + 12

b)

5x = -3y + 12

c)

y = -5/3x + 4

d)

x = -3/5y + 12/5

3.

What does 'b" represent in y=mx+b?

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

4.
Express the following in Interval Notation
 -8 ≤ x < 8 
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
5.

Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2) U (5,∞)

c)

[-2,5]

d)

(-∞,-2] U [5,∞)

6.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
7.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
8.

Which of these means "x is greater than 5"?

a)

x>5x>5  

b)

x<5x<5  

c)

x≥5x\ge5  

d)

x≤5x\le5  

9.
How many students have 12 Brothers and Sisters? 
a)
4 students
b)
7 students
c)
0 students
d)
1 student
10.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
11.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
12.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
13.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
14.
What do we call the graph of a quadratic function?
a)
parabola
b)
linear
c)
cubic
d)
sinusoidal
15.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

16.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

17.

This function represents the number of ants in a colony f(x)=3 ( 2)xf\left(x\right)=3\ \left(\ 2\right)^x How many ants did you begin with? 

a)

There was 2 ants

b)

There was 3 ants

c)

The equation doesn't tell us

18.

How many terms are in this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

1

c)

4

d)

2

19.

What is the the DEGREE:

4x3 - 5x2 + 2x - 1

a)

1

b)

2

c)

3

d)

4

20.
What are like terms?
Terms that have....
a)
the same variables
b)
the same exponents
c)
the same coefficients
d)
the same variables and exponents
21.

Classify this polynomial by its degree and number of terms: 4x3

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

d)

6th degree (sextic) monomial

22.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
23.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
24.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
25.

Simplify (5a2)(6p3)(2a3)(5−1p)−2\frac{\left(5a^2\right)\left(6p^3\right)}{\left(2a^3\right)\left(5^{-1}p\right)^{-2}}  

a)

3p55a\frac{3p^5}{5a}  

b)

3p5a\frac{3p^5}{a}  

c)

15p5a\frac{15p^5}{a}  

d)

75p2a\frac{75p^2}{a}  

26.

Find the zeros/solutions of this quadratic function from its graph. Select all that apply.

a)

-4

b)

4

c)

0

d)

2

e)

-5

27.
Factor: 15x3 + 25x2
a)
5x(3x2 + 5)
b)
5x(3x2 + 5x)
c)
5x2(3x + 5)
d)
5x2(3x + 5x)
28.

(x + 3)2\left(x\ +\ 3\right)^2  

a)

x2 + 3x + 15x^2\ +\ 3x\ +\ 15  

b)

x2 + 9x^2\ +\ 9  

c)

x2 −6x + 9x^2\ -6x\ +\ 9  

d)

x2 + 6x +9x^2\ +\ 6x\ +9  

29.

It is a function? Explain. Select all that applies.

a)

Yes

b)

No

c)

Passes the Vertical Line Test.

d)

Fails the Vertical Line Test.

30.

Solve for the variable.

9x −3 = −14x + 209x\ -3\ =\ -14x\ +\ 20  

a)

x = -2

b)

x = 1

c)

x = 4

d)

x = -8

Answer Key

Algebra 1 Final Exam (Objective)

Total questions: 30

1.
d)

y = -1/2x + 2

2.
c)

y = -5/3x + 4

3.
a)

y-intercept

4.
b) [-8,8)
5.
b)

(-∞,-2) U (5,∞)

6.
d) (1, -1)
7.
a) no
8.
a)

x>5x>5  

9.
d) 1 student
10.
a) 15-19
11.
a) (−1, 3)
12.
d) (0, 5)
13.
a) x = −1
14.
a) parabola
15.
c)

Exponential Growth

16.
a)

Linear Growth

17.
b)

There was 3 ants

18.
c)

4

19.
c)

3

20.
d) the same variables and exponents
21.
a)

Cubic monomial

22.
a) 27
23.
a) True
24.
b) subtract
25.
a)

3p55a\frac{3p^5}{5a}  

26.
a)

-4

, c)

0

27.
c) 5x2(3x + 5)
28.
d)

x2 + 6x +9x^2\ +\ 6x\ +9  

29.
b)

No

, d)

Fails the Vertical Line Test.

30.
b)

x = 1

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FAQs

What does this Algebra 1 final exam worksheet cover?

This 30-question objective worksheet reviews several specific Algebra 1 skills through 28 multiple-choice and 2 multiple-select questions. Students write and convert linear equations to slope-intercept form, identify slope and y-intercept, use interval notation for inequalities, interpret systems and data displays, identify key features of parabolas, and classify exponential growth.

How can I use this worksheet to teach slope-intercept form and graph features?

Begin by reviewing y = mx + b, having students identify m as the slope and b as the y-intercept from a graph. Then use the worksheet’s equation-conversion and graph-identification items to move from reading a line to rewriting standard form and selecting features such as a parabola’s vertex, y-intercept, and axis of symmetry. Ask students to explain why each selected option matches the graph or equation.

What mistakes should I watch for on this Algebra 1 exam worksheet?

Watch for students reversing the slope sign or confusing the coefficient m with the y-intercept b when reading or rewriting linear equations. In interval-notation items, students may use the wrong bracket at an included endpoint or reverse the union of outside intervals. They may also confuse a parabola’s vertex with its y-intercept, or mistake the axis of symmetry x = -1 for a y-coordinate.

How do I assign and grade this Algebra 1 worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 30 objective questions. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app. The PDF option can also support schools that want to reduce screen time.

How can I differentiate this Algebra 1 worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the equation, interval-notation, and graph-feature items easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while preserving its objective question format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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