Algebra EOC Practice Test #1: Multiple Choice Questions, Cheat Sheet of Mathematics

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Name: ______________________ Class: _________________ Date: _________ ID: A
1
Algebra EOC Practice Test #1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. 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.
a. 20 +0.05 x65 c. 20 +0.05 x65
b. 20 +5x65 d. 20 +5x65
____ 2. Divide (16x612x4+4x2) by 4x2.
a. 4x3
3x2+1 c. 4x4
3x2+1
b. 4x4
3x2d. 12x48x2+0
____ 3. Which graph represents the solutions of p+1< 1 OR p5>7?
a. c.
b. d.
____ 4. 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?
a. s>7000 c. s>70, 000
b. s>35, 000 d. s>350, 000
____ 5. Solve 4
s
=2
9.
a. 4.5 c. 18
b. 18 d. 4.5
____ 6. 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?
a. at least 76 c. at least 88
b. at least 84 d. at least 92
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Name: ______________________ Class: _________________ Date: _________ ID: A

Algebra EOC Practice Test

MultipleChoice

Identify the choice that best completes the statement or answers the question.

____ 1. 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.

a. 20 + 0.05 x ≤ 65 c. 20 + 0.05 x ≥ 65

b. 20 + 5 x ≤ 65 d. 20 + 5 x ≥ 65

____ 2. Divide (16 x

− 12 x

+ 4 x

) by 4 x

a. 4 x

3

− 3 x

2

  • 1 c. 4 x

4

− 3 x

2

b. 4 x

4

− 3 x

2

d. 12 x

− 8 x

____ 3. Which graph represents the solutions of p + 1 < −1 OR p − 5 > 7?

a. c.

b. d.

____ 4. 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?

a. s > 7000 c. s > 70, 000

b. s > 35, 000 d. s > 350, 000

____ 5. Solve

s

a. −4.5 c. 18

b. − 18 d. 4.

____ 6. 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?

a. at least 76 c. at least 88

b. at least 84 d. at least 92

____ 7. What is the equation of the line shown in the graph?

a. y = 3 x +

c. y = 3 x − 5

b. y = − 3 x − 5 d. y = 2 x − 5

____ 8. Solve m − 8 ≤ 14.

a. m ≤ 6 c. m ≤ 22

b. m ≥ 6 d. m ≥ 22

____ 12. Simplify the expression

a.

c.

b.

3 d.

____ 13. The formula for the resistance of a conductor with voltage V and current I is r =

V

I

. Solve for V.

a. I = Vr c. V = Ir

b. V =

I

r

d. V =

r

I

____ 14. Which system has no solution?

a.

y = x + 4

y − x = − 4

Ï

Ì

Ó

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

c.

y =

x + 6

2 x + 5 = y

Ï

Ì

Ó

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

b.

2 y = 2 x + 8

− 2 x = 2 y − 8

Ï

Ì

Ó

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

d.

y = 4 x + 1

y − 1 = 4 x

Ï

Ì

Ó

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

Ô

____ 15. 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?

a. 7 c. 18

b. 12 d. 19

____ 16. Look at the map below.

Which is the distance between Kensington and Greenwich?

a. 20 3 mi c. 40 3 mi

b. 20 5 mi d. 40 5 mi

____ 17. A sales clerk earns a 3% commission on each sale. What is the commission earned on a sale of $4450?

a. $133.50 c. $1335.

b. $148.33 d. $13.

____ 22. 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?

a. B = {b, d, g} c. B = {b, d, 5, e}

b. B = {b, d, k} d. B = {a, f, g}

____ 23. Leah scored p points in the first half of the basketball game. In the second half, she scored 3 more

than

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.

p +

p + 3

Ê

Ë

Á

Á

Á

Á

Á

Á

How many points did Leah score in the first half?

a. 6 c. 12

b. 9 d. 18

____ 24. Subtract (6 a

+ 3 a ) −(4 a

+ 2 a ).

a. 2 a

+ a c. 3

b. 2 a

+ 5 a d. 3 a

____ 25. Which of the following is the equation of the line that has x -intercept = − 2 and y -intercept = − 4?

a. y = − 2 x − 4 c. y = − 2 x + 4

b. y = 2 x − 4 d. y = −

x − 4

____ 26. 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.

What is the equation of this linear function? What is the slope and what does it represent?

a. y = −

x + 5 ; slope = −

; this means that for every gallon of paint used, 400

sq. ft. of area is painted.

b. y = −

x + 5 ; slope = −

; this means that for every gallon of paint used, 40 sq.

ft. of area is painted.

c. y = −

x + 5 ; slope = −

; this means that for every gallon of paint used, 800

sq. ft. of area is painted.

d. y = −

x + 5 ; slope = −

; this means that for every gallon of paint used, 4 sq.

ft. of area is painted.

____ 27. Which expression is NOT equivalent to the other expressions?

a. (4 x

2

y )

2

c. 16 x

4

y

2

b. 4 x

4

y

2

d. 4

2

x

4

y

2

____ 31. Multiply: ( a + b )( a − b )

a. a

+ 2 ab − b

c. a

− b

b. a

+ b

d. a

− 2 ab − b

____ 32. Simplify y

  • y

a. y

c. y

b. y

d. y

____ 33. Solve 7( x −2) = 7 x + 14.

a. no solution c. 2

b. 0 d. all real numbers

____ 34. Find the slope of the line that contains the points 1,− 1

Ê

Ë

Á

Á

˜ and −2,

Ê

Ë

Á

Á

a. − 5 c. −

b. − 3 d. −

____ 35. For f ( x ) = 24 − 2 x , find f (2) and find x such that f ( x ) = 10.

a. 28; 12 c. 20; 7

b. 22; 4 d. 22; 7

____ 36. If you graph y = x

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

a. − 3 c. 2

b. 9 d. 0

____ 37. 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.

20 x + 12 y = 900

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

a. c.

b. d.

____ 40. Which of the following graphs shows the graph of this equation?

y + 1 = 2 ( x − 1 )

a. c.

b. d.

____ 41. The scatter plot shows the relationship between the weekly total sales ($) and the number of

different rug 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.

a. $31,000 c. $38,

b. $0 d. $35,

____ 42. Factor x

a. ( x −4)

c. ( x + 4)

b. ( x + 4)( x −4) d. cannot be factored

____ 43. Factor x

− 6 x −16.

a. ( x + 2)( x −8) c. ( x −4)( x −2)

b. ( x −8)( x −2) d. cannot be factored

____ 44. Solve A =

( b + c ) h for c.

a. c =

h

2 A

− b c. c =

2 A

h

− b

b. c = 2 Ah − b d. c = 2 h ( A − b )

____ 52. Simplify the quotient

a.

c. 7.

b.

d.

____ 53. Graph − 2 x + 4 y = 4 for the domain D: {–8, –4, 0, 4, 8}.

a. c.

b. d.

____ 54. Determine whether the pairing is a function. If it is a function, describe the rule that relates the input

value to the output value.

input -3 -1 0 1 3

output 0 2 3 4 6

a. The pairing is not a function. c. The pairing is a function. The rule is

“input value multiplied by 3 then add

b. The pairing is a function. The rule is

“input value multiplied by 2 then add

d. The pairing is a function. The rule is

“input value plus 3.”

____ 55. The values in the table show a linear relationship. Find the slope.

x

y 10 7 4 1

a. 2 c.

b. − 2 d. −

  • Algebra EOC Practice Test # - 1. ANS: C PTS: 1 STA: MA.912.A.3. MULTIPLE CHOICE - 2. ANS: C PTS: 1 STA: MA.912.A.4. - 3. ANS: A PTS: 1 STA: MA.912.A.3. - 4. ANS: D PTS: 1 STA: MA.912.A.3. - 5. ANS: B PTS: 1 STA: MA.912.A.5. - 6. ANS: C PTS: 1 STA: MA.912.A.3. - 7. ANS: C PTS: 1 STA: MA.912.A.3. - 8. ANS: C PTS: 1 STA: MA.912.A.3. - 9. ANS: C PTS: 1 STA: MA.912.A.3.
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