EOC Algebra 1 Practice Test #1

Last Updated on May 23, 2024

EOC Algebra 1 Practice Test #1: Our free EOC Algebra 1 Practice Test is an online quiz designed to help students prepare for the Algebra 1 End-of-Course (EOC) exam. The practice test consists of 40 multiple-choice questions, which are similar in format and content to the questions on the actual Algebra 1 EOC exam.

The practice test covers a variety of algebraic concepts, including linear equations, quadratic equations, functions, systems of equations, exponents, and polynomials. The questions are designed to assess a student’s ability to solve algebraic equations, interpret algebraic expressions, and use algebraic concepts to solve real-world problems.

EOC Algebra 1 Practice Test #1

The practice test is administered online, allowing students to complete the quiz at their own pace and on their own schedule. Once a student completes the practice test, they will receive a score report that provides feedback on their performance, including the number of questions answered correctly and incorrectly.

Practice Tests

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Algebra EOC Practice Test #1

Algebra EOC Practice Test #1
Total Items: 40
Time Limit: 60 minutes
Score: You can find your test score as a percentage at the end of the test!

1 / 40

Divide (16x⁶ − 12x⁴ + 4x²) by 4x²

4x³ −3x² + 1

4x⁴ −3x²

4x⁴ −3x² + 1

12x⁴ − 8x² + 0

2 / 40

George is helping the manager of the local produce market expand her business by distributing flyers around the neighborhood. He gets paid $20 a day as well as $0.05 for every flyer he distributes. George would like to earn at least $65 each day. Which of the following represents this situation, where x is the number of flyers distributed?

20 + 0.05x ≤ 65

20 + 5x ≤ 65

20 + 0.05x ≥ 65

20 + 5x ≥ 65

3 / 40

Which graph represents the solutions of p + 1 < −1 OR p − 5 > 7?

4 / 40

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45, 000. XYZ Company offers a yearly salary of $38, 000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company?

s > 7000

s > 35, 000

s > 70, 000

s > 350, 000

5 / 40

Solve $- \frac4s = \frac{-2}{9}$

−4.5

−18

4.5

6 / 40

Janell has 5 gallons of paint. After painting 800 square feet of walls in her house, she has 3 gallons left. The graph below show’s Janell’s situation.

y = − 1/400 x + 5 slope = - 1/400 this means that for every gallon of paint used, 400 sq. ft. of area is painted.

y = − 1/40 x + 5 slope = - 1/40 this means that for every gallon of paint used, 40 sq. ft. of area is painted.

y = − 1/800 x + 5 slope = - 1/800 this means that for every gallon of paint used, 800 sq. ft. of area is painted

y = − 1/4 x + 5 slope = - 1/4 this means that for every gallon of paint used, 4 sq. ft. of area is painted

7 / 40

The scatter plot shows the relationship between the weekly total sales ($) and the number of different rugs designs a rug store has. Based on this relationship, use the line of best fit to predict what the total sales will be when the store has 110 different rug designs.

$31,000

$38,000

$35,000

8 / 40

Solve x² − 7x − 8 = 0 by factoring.

x = −1 or x = 8

x = 1 or x = −8

x = −3 or x = 8

9 / 40

Give the domain and range of the relation.

D: −2 ≤ x ≤ 4 ; R: −3 ≤ y ≤ 2

D: −3 ≤ x ≤ 2 ; R: −2 ≤ y ≤ 4

D: −3 ≤ x ≤ 2 R: −3 ≤ y ≤ 6

D: −3 ≤ x ≤ 2 ; R: 0 ≤ y ≤ 4

10 / 40

Reserved tickets for the football game cost $20 each and general admission tickets cost $12 each. The total ticket sales brought in $900. The equation below can be used to find out how many of each type of ticket were sold, where x is the number of reserved tickets and y is the number of general admission tickets.

20x + 12y = 900

Which of the following graphs shows the graph of this equation?

11 / 40

If you graph y = x² − 6x + 9, the y-intercept of the graph of the equation is ___________.

-3

12 / 40

For f(x) = 24 − 2x, find f(2) and find x such that f(x) = 10

28; 12

22; 4

20; 7

22; 7

13 / 40

Multiply: (a + b)(a − b)

a² + 2ab − b²

a² + b²

a² − b²

a² − 2ab − b²

14 / 40

Factor p² − 40

(p − 20)²

(p − 20)(p + 20)

(p + 20)²

cannot be factored

15 / 40

The diagram shows a Venn diagram for sets A and B. What is the intersection?

Set A: factors of 9
Set B: factors of 12

{1}

{1,, 3}

{2, 4, 6, 12}

{9}

16 / 40

The height of a ball in feet is modeled by y = −16x2 + 72x, where x is the time in seconds after the ball is hit. How long is the ball in the air?

2.25 s

4.5 s

9 s

81 s

17 / 40

Which expression is NOT equivalent to the other expressions?

16x⁴ y²

(4x² y)²

4x⁴ y²

4² x⁴ y²

4x² y²

18 / 40

Which of the following is the equation of the line that has x-intercept = −2 and y-intercept = −4 ?

y = −2x − 4

y = 2x − 4

y = −2x + 4

y = − 4

19 / 40

Subtract (6a² + 3a) − (4a² + 2a).

2a² + 5a

2a² + a

20 / 40

Leah scored p points in the first half of the basketball game. In the second half, she scored 3 more than ½ the number of points she scored in the first half of the game. Altogether, she scored 21 points in the game. The following equation represents this situation where p represents the number of points Leah scored in the first half.

How many points did Leah score in the first half?

21 / 40

Let A = {a, b, d, f, g} and B be a sets in the universe U = {letters of the alphabet}. If A ∩ B = {b, d}, which could be set B?

B = {b, d, g}

B = {b, d, k}

B = {b, d, 5, e}

B = {a, f, g

22 / 40

Tell whether the slope of the line is positive, negative, zero, or undefined

negative

positive

undefined

zero

23 / 40

Gloria earns 1.5 times her normal hourly pay for each hour that she works over 40 hours in a week. Her normal pay is p dollars per hour. Last week Gloria worked 47 hours and earned $489.85. The following equation represents this situation where p is Gloria’s normal hourly pay in dollars per hour.

40p + 7(1.5p) = 489.85

What is Gloria’s normal hourly pay?

$5.90

$6.95

$8.70

$9.70

24 / 40

Given f(x) = x² + 1 with domain D: {−2, −1, 0, 1, 3 } . What is the range, R?

R: { −1, −2, 0, 1, 3 }

R: { 4, 1, 0, 1, 9 }

R: { 5, 2, 1, 2, 10 }

R: {3, 0, −1, 0, 8 }

25 / 40

A sales clerk earns a 3% commission on each sale. What is the commission earned on a sale of $4450?

$133.50

$148.33

$1335.00

$13.35

26 / 40

Look at the map below

Which is the distance between Kensington and Greenwich?

20 √3 mi

20 √5 mi

40 √3 mi

40 √5 mi

27 / 40

30 people were asked if they wore a blue shirt or a red shirt this week. The Venn diagram shows the results of the survey.

What is the missing value in the Venn diagram?

28 / 40

Which system has no solution?

29 / 40

Simplify the expression $\sqrt[]{\frac{48}{147}}$

4/7

7/4

4/7 √3

7/4 √3

30 / 40

Simplify (a³b)².

a³b²

a⁶b

a⁶b²

a⁹b²

31 / 40

Which of the following relations is a function?

{(-2, -2),(-2, -1),(-2, 0),(-2, 1),(-2, 2)}

{(1, 0),(-1, 0),(2, 1),(-2, 1),(3, 2),(-3, 2)}

{(-2, 1),(-1, 2),(0, 0),(-1, 1),(2, -2)}

{(-3, 3),(1, 3),(-3, 2),(1, 2),(-3, 1),(1, 1)}

32 / 40

Graph the line with the slope ½ and y-intercept 3.

33 / 40

Solve m − 8 ≤ 14.

m ≤ 6

m ≥ 6

m ≤ 22

m ≥ 22

34 / 40

What is the equation of the line shown in the graph?

y = −3x − 5

y = 3x − 5

y = 2x − 5

y = −5x −3

35 / 40

The average of Paula’s two test scores must be 80 or more for her to get at least a B in the class. She got a 72 on her first test. What grades can she get on the second test to make at least a B in the class?

at least 76

at least 84

at least 88

at least 92

36 / 40

The ratio of boys to girls in a class is 2:3. If there are 18 girls in the class, how many boys are there?

37 / 40

U is the set of natural numbers less than 8. G is the set of even integers less than 10. Which is the complement of set G in universe U?

{1, 3, 5, 7}

{2, 4, 6}

{1, 3, 5, 7, 8}

38 / 40

Which of the following is the solution to this inequality?

3(5 + 2n) ≥ 7 + 10n

n ≥ 2

n ≥ −2

n ≤ 2

n ≤ −2

39 / 40

Divide: (18x³ + 9x²) ÷ (3x)

6x² + 3

6x² + 3x

3x² + 3x

6x³ + 3x

40 / 40

Use the zero product property to solve the equation x + 3( ) x − 2( ) = 14.

The solutions are 5 and –4

The solutions are –3 and 2.

The solutions are –5 and 4

The solutions are 3 and –2.

Your score is

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