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Name: ______________________ Class: _________________ Date: _________ ID: A
Algebra EOC Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Write the monomial
4 x
− 2
y
3 y
− 3
without the use of negative exponents.
a.
4 x
2
y
3 y
3
c.
4 y
3
3 x
2
b.
4 y
4
3 x
2
d. 4 x
2
y
4
____ 2. A company distributes its product by train and by truck. The cost of distributing by train can be
modeled as − 0. 09 x
- 34 x − 100 , and the cost of distributing by trucks can be modeled as
− 0. 04 x
- 22 x − 175 , where x is the number of tons of product distributed. Write a polynomial that
represents the difference between the cost of distributing by train and the cost of distributing by
trucks.
a. − 0. 05 x
b. − 0. 13 x
____ 3. Find the slope of the line that contains 1 , 6
Ê
Ë
ÁÁ
ˆ
¯
˜˜ and 1 , − 9
Ê
Ë
ÁÁ
ˆ
¯
a. slope = 0 c. slope = 15
b. slope = 1 d. slope is undefined
____ 4. A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only
$1.00 per movie. Another store has no membership fee, but it costs $2.50 to rent each movie. The
equation below represents this situation where m is the number of movies rented each month.
- 50 + 1. 00 m = 2. 50 m
Which of the following is the number of movies that need to be rented each month for the total fees
to be the same from either store?
a. 3 movies c. 7 movies
b. 5 movies d. 9 movies
____ 5. Jane is in debt. She owes her brother money and has nothing in her piggy bank. She decides to work odd jobs for her
family and neighbors to build her savings back up. The graph below represents Jane’s situation.
What is the equation of this linear function? What does the slope represent?
a. y = 3 x − 2 ; The slope of 3 means Jane will be earning $3 every day.
b. y = 3 x + 2 ; The slope of 3 means it will take Jane 3 days to earn a dollar.
c. y = − 3 x − 2 ; The slope of -2 means Jane was $2 in debt to her brother.
d. y = x − 2 ; The slope of 1 means Jane will be earning $1 every day.
____ 6. Factor x
a. ( x + 1 )( x + 8 ) c. ( x + 1 )( x + 5 )
b. ( x + 2 )( x + 4 ) d. ( x − 2 )( x − 4 )
____ 7. Use the graph to find the solutions of x
− 2 x − 3 = 0.
a. − 1 and 3 c. 1 and − 3
b. − 1 and − 3 d. 1 and 3
____ 13. Latisha is on page 30 of her book and reads 3 pages every night. Sal is on page 40 of the same book
and reads 2 pages every night. How long will it take Latisha to be further in the book than Sal?
a. 3 nights c. 15 nights
b. 11 nights d. 71 nights
____ 14. Which product results in x
a. ( x − 5 )
c. ( x + 5 )( x − 5 )
b. ( x + 5 )
d. ( x + 5 )( 2 x + 5 )
____ 15. Graph the line with the slope
3
2
and y -intercept 1.
a. c.
b. d.
____ 16. U is the set of integers. G is the set of negative integers. What is the complement of set G in universe
U?
a. natural numbers c. positive integers
b. whole numbers d. {0}
____ 17. A patio will be built in the shape of a trapezoid. The bases of the trapezoid will measure 14. 5 ft and
- 5 ft. What is the minimum height of the trapezoid if the patio is to have an area of no less than
259 sq ft?
a. 3. 5 ft c. 14 ft
b. 7 ft d. 18. 5 ft
____ 18. Simplify the quotient
a.
c. 7. 5
b.
d.
____ 19. Factor 5 ( x − 2 ) − 9 x ( x − 2 ).
a. − 45 x ( x − 2 ) c. ( 5 − 9 x )( x − 2 )( x − 2 )
b. ( x − 2 )( 9 x − 5 ) d. ( x − 2 )( 5 − 9 x )
____ 20. Give the domain and range of the relation.
a. D: 0 ≤ x ≤ 7 ; R: 1 ≤ y ≤ 7 c. D: 2 ≤ x ≤ 6 ; R: 4 ≤ y ≤ 7
b. D: 1 ≤ x ≤ 6 ; R: 1 ≤ y ≤ 7 d. D: 1 ≤ x ≤ 7 ; R: 1 ≤ y ≤ 6
____ 27. Jennifer is a car saleswoman. She is paid a salary of $2000 per month plus $300 for each car that she
sells. Her monthly salary can be modeled by the equation f ( x ) = 300 x + 2000 where x is the number
of cars sold. Which of the following is a graph that represents this situation?
a. c.
b. d.
____ 28. 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.
How many people wore a blue shirt, but not a red shirt, this week?
a. 4 c. 8
b. 7 d. 12
____ 30. Solve A =
bh for b.
a. b = 2 A + h c. b =
2 h
a
b. b =
2 A
h
d. b = 2 h − a
____ 31. Divide: ( 10 y
a.
y
b. 5 y + 3 d. 5 +
y
____ 32. Which inequality is shown by the graph below?
a. − 2 ≤ w ≤ 3 c. w ≥ 3 and w < − 2
b. − 2 < w ≤ 3 d. − 2 > w ≥ 3
____ 33. Solve y = mx + b for m.
a. m =
y − b
x
c. m = y + bx
b. m =
x
y − b
d. m =
y + b
x
____ 34. Write an equation for the line that contains the point (-1, 2) and is perpendicular to the line y = 3.
a. x + y = − 1 c. y = 2
b. x + y = 1 d. x = − 1
____ 35. Which of the following is the solution to the inequality?
x + 4 > 6 ( x + 2 )
a. x < 2 c. x > − 1. 6
b. x > 2 d. x < − 1. 6
____ 36. The check for Kelli’s breakfast is $5.74. Which is the best estimate of a 20% tip?
a. $0.50 c. $1.
b. $0.60 d. $1.
____ 37. Multiply ( x + 2 )( x + 3 ).
a. x
b. x
____ 38. A 30-foot pole is stabilized by a wire attached to the ground 10 feet from the base of the pole. How
long is the wire? Give your answer as a radical expression in simplest form.
a. 2 5 ft c. 10 10 ft
b. 2 10 ft d. 20 2 ft
____ 39. Solve 3 y +
x − w = 0 for y.
a. y =
x +
w c. y = −
x +
w
b. y = −
x +
w d. y = −
x + 6 w
____ 40. Which of the following relations is a function?
a. {(1, 0),(1, -1),(2, 0),(2, -1),(3, 0),(3, -1)}
b. {(1, 3),(-1, 5),(2, 7),(-2, 7),(3, 5),(-3, 3)}
c. {(-2, -1),(1, -2),(0, 0),(-1, -1),(-2, -2)}
d. {(0, 3),(1, 3),(-3, 3),(1, 2),(-3, 2),(1, 3)}
____ 42. Solve
3 x − y = 7
2 x − y = 5
Ï
Ì
Ó
Ô
Ô
Ô
Ô
Ô
Ô
Ô
Ô
Ô
Ô
a. (− 9 , − 2 ) c. (− 1 , 2 )
b. (− 2 , − 9 ) d. ( 2 , − 1 )
____ 43. Solve − a + 7 = 2 a − 8.
a. − 3 c. 5
b. −
d. 15
____ 44. Write an equation in slope-intercept form for the line that passes through (4, 4) and has a x -intercept
of 3.
a. y = 4 x + 3 c. y = − 4 x − 12
b. y =
1
4
x − 12 d. y = 4 x − 12
____ 45. Graph x + 2 y = − 2 for the domain D: {–4, –2, 0 , 2 , 4 }.
a. c.
b. d.
____ 46. Simplify
a.
c.
b.
d.
____ 47. Find the x - and y -intercepts.
a. x -intercept: –6, y -intercept: 4 c. x -intercept: –4, y -intercept: –
b. x -intercept: 6 , y -intercept: –4 d. x -intercept: –6 , y -intercept: –
____ 48. A bakery has an order to make 100 cupcakes. The workers can frost and decorate 3 cupcakes per
minute. Let x be the number of minutes the workers have been working. Write an inequality that
says the number of cupcakes remaining to be decorated is less than 20.
a. 3 x − 100 < 20 c. 100 − 3 x ≤ 20
b. 100 + 3 x < 20 d. 100 − 3 x < 20
____ 49. Which system has an infinite number of solutions?
a.
x + 2 = y
4 = 2 y − x
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Ó
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Ô
Ô
c.
y + 3 = 2 x
4 x = 2 y − 3
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Ì
Ó
Ô
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Ô
Ô
Ô
b.
2 y + 6 = 4 x
− 3 = y − 2 x
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Ì
Ó
Ô
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Ô
d.
y = 2 x − 5
− 2 = y − 2 x
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Ì
Ó
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____ 55. A survey of 16 people were asked if they like tacos or pizza. The results of the survey are illustrated
in the Venn diagram.
How many people surveyed do not like pizza?
a. 2 b. 4 c. 5 d. 11
ID: A
Answer Section
