A 1 - Algebra EOC Practice Test #1

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 + 0.05x ≤ 65

c.

20 + 0.05x ≥ 65

b.

20 + 5x ≤ 65

d.

20 + 5x ≥ 65

____

2.

Divide (16x

6

− 12x

4

+ 4x

2

) by 4x

2

.

a.

4x

3

−3x

2

+ 1

c.

4x

4

−3x

2

+ 1

b.

4x

4

−3x

2

d.

12x

4

− 8x

2

+ 0

____

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

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

Name: ______________________ ID: A

2

____

7.

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

a.

y = 3x +

3

2

c.

y = 3x − 5

b.

y = −3x − 5

d.

y = 2x − 5

____

8.

Solve m − 8 ≤ 14.

a.

m ≤ 6

c.

m ≤ 22

b.

m ≥ 6

d.

m ≥ 22

Name: ______________________ ID: A

3

____

9.

Graph the line with the slope

1

2

and y-intercept 3.

a. c.

b. d.

____

10.

Which of the following relations is a function?

a.

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

b.

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

c.

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

d.

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

____

11.

Simplify (a

3

b)

2

.

a.

a

3

b

2

c.

a

6

b

2

b.

a

6

b

d.

a

9

b

2

Name: ______________________ ID: A

4

____

12.

Simplify the expression

48

147

.

a.

4

7

c.

16

49

b.

4

7

3

d.

48

147

____

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

c.

y =

1

2

x + 6

2x + 5 = y

Ï

Ì

Ó

Ô

b.

2y = 2x + 8

−2x = 2y − 8

Ï

Ì

Ó

Ô

d.

y = 4x + 1

y − 1 = 4x

Ï

Ì

Ó

Ô

Name: ______________________ ID: A

5

____

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.

$1335.00

b.

$148.33

d.

$13.35

Name: ______________________ ID: A

6

____

18.

Given f(x) = x

2

+ 1 with domain D: −2, −1, 0, 1, 3

Ï

Ì

Ó

Ô

¸

˝

˛

Ô

. What is the range, R?

a.

R: −1, −2, 0, 1, 3

Ï

Ì

Ó

Ô

¸

˝

˛

Ô

c.

R: 5, 2, 1, 2, 10

Ï

Ì

Ó

Ô

¸

˝

˛

Ô

b.

R: 4, 1, 0, 1, 9

Ï

Ì

Ó

Ô

¸

˝

˛

Ô

d.

R: 3, 0, −1, 0, 8

Ï

Ì

Ó

Ô

¸

˝

˛

Ô

____

19.

Solve y + w −

3

4

z = 0 for z.

a.

z =

4

3

y + w

Ê

Ë

Á

ˆ

¯

˜

c.

z =

4

3

w + y

b.

z =

3

4

y + w

Ê

Ë

Á

ˆ

¯

˜

d.

z =

4y

3

+ w

____

20.

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?

a.

$5.90

c.

$8.70

b.

$6.95

d.

$9.70

____

21.

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

a.

negative

c.

undefined

b.

positive

d.

zero

Name: ______________________ ID: A

7

____

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

1

2

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 +

1

2

p + 3

Ê

Ë

Á

ˆ

¯

˜

= 21

How many points did Leah score in the first half?

a.

6

c.

12

b.

9

d.

18

____

24.

Subtract (6a

2

+ 3a) − (4a

2

+ 2a).

a.

2a

2

+ a

c.

3

b.

2a

2

+ 5a

d.

3a

3

____

25.

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

a.

y = −2x − 4

c.

y = −2x + 4

b.

y = 2x − 4

d.

y = −

1

2

x − 4

Name: ______________________ ID: A

8

____

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 = −

1

400

x + 5; slope = −

1

400

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

sq. ft. of area is painted.

b.

y = −

1

40

x + 5; slope = −

1

40

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

ft. of area is painted.

c.

y = −

1

800

x + 5; slope = −

1

800

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

sq. ft. of area is painted.

d.

y = −

1

4

x + 5; slope = −

1

400

; 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.

(4x

2

y)

2

c.

16x

4

y

2

b.

4x

4

y

2

d.

4

2

x

4

y

2

Name: ______________________ ID: A

9

____

28.

The height of a ball in feet is modeled by y = −16x

2

+ 72x, where x is the time in seconds after the

ball is hit. How long is the ball in the air?

a.

2.25 s

c.

9 s

b.

4.5 s

d.

81 s

____

29.

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

a.

{1}

c.

{2, 4, 6, 12}

b.

{1, 3}

d.

{9}

____

30.

Factor p

2

− 40.

a.

(p − 20)

2

c.

(p + 20)

2

b.

(p − 20)(p + 20)

d.

cannot be factored

Name: ______________________ ID: A

10

____

31.

Multiply: (a + b)(a − b)

a.

a

2

+ 2ab − b

2

c.

a

2

− b

2

b.

a

2

+ b

2

d.

a

2

− 2ab − b

2

____

32.

Simplify y

10

• y

5

.

a.

y

2

c.

y

15

b.

y

5

d.

y

50

____

33.

Solve 7(x − 2) = 7x + 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

ˆ

¯

˜

˜ and −2,8

Ê

Ë

Á

ˆ

¯

˜

˜ .

a.

−5

c.

−

7

3

b.

−3

d.

−

1

3

____

35.

For f(x) = 24 − 2x, 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

2

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

a.

−3

c.

2

b.

9

d.

0

Name: ______________________ ID: A

11

____

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.

20x + 12y = 900

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

a. c.

b. d.

Name: ______________________ ID: A

12

____

38.

Give the domain and range of the relation.

a.

D: −2 ≤ x ≤ 4; R: −3 ≤ y ≤ 2

c.

D: −3 ≤ x ≤ 2 R: −3 ≤ y ≤ 6

b.

D: −3 ≤ x ≤ 2; R: −2 ≤ y ≤ 4

d.

D: −3 ≤ x ≤ 2 ; R: 0 ≤ y ≤ 4

____

39.

Solve x

2

− 7x − 8 = 0 by factoring.

a.

x = −1 or x = 8

c.

x = −3 or x = 8

b.

x = 1 or x = −8

d.

x = −3 or x = 8

Name: ______________________ ID: A

13

____

40.

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

y+ 1=2 x− 1( )

a. c.

b. d.

Name: ______________________ ID: A

14

____

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.

$38,000

b.

$0

d.

$35,000

____

42.

Factor x

2

− 16.

a.

(x − 4)

2

c.

(x + 4)

2

b.

(x + 4)(x − 4)

d.

cannot be factored

____

43.

Factor x

2

− 6x − 16.

a.

(x + 2)(x − 8)

c.

(x − 4)(x − 2)

b.

(x − 8)(x − 2)

d.

cannot be factored

____

44.

Solve A =

1

2

(b + c)h for c.

a.

c =

h

2A

− b

c.

c =

2A

h

− b

b.

c = 2Ah − b

d.

c = 2h(A − b)

Name: ______________________ ID: A

15

____

45.

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?

a.

6

c.

12

b.

10

d.

27

____

46.

Solve

2x + 3y = 4

3x − 3y = −9

Ï

Ì

Ó

Ô

.

a.

(2, 0)

c.

(1, −2)

b.

(−1, 2)

d.

(–5, 2)

____

47.

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

a.

The solutions are 5 and –4.

c.

The solutions are –5 and 4.

b.

The solutions are –3 and 2.

d.

The solutions are 3 and –2.

____

48.

Divide: (18x

3

+ 9x

2

) ÷ (3x)

a.

6x

2

+ 3

c.

3x

2

+ 3x

b.

6x

2

+ 3x

d.

6x

3

+ 3x

____

49.

Which of the following is the solution to this inequality?

3(5 + 2n) ≥ 7 + 10n

a.

n ≥ 2

c.

n ≤ 2

b.

n ≥ −2

d.

n ≤ −2

____

50.

Multiply (x + 7)(x − 7).

a.

x

2

− 49

c.

2x − 14

b.

x

2

+ 14x − 49

d.

x

2

+ 49

____

51.

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?

a.

{1, 3, 5, 7}

c.

{2, 4, 6}

b.

G

d.

{1, 3, 5, 7, 8}

Name: ______________________ ID: A

16

____

52.

Simplify the quotient

15

2

.

a.

15

2

c.

7.5

b.

30

2

d.

2

30

____

53.

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

a. c.

b. d.

Name: ______________________ ID: A

17

____

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

3.”

b.

The pairing is a function. The rule is

“input value multiplied by 2 then add

3.”

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

−4

2

8

14

y

10

7

4

1

a.

2

c.

1

2

b.

−2

d.

−

1

2

ID: A

1

Algebra EOC Practice Test #1

Answer Section

MULTIPLE CHOICE

1.

ANS: C PTS: 1 STA: MA.912.A.3.5

2.

ANS: C PTS: 1 STA: MA.912.A.4.4

3.

ANS: A PTS: 1 STA: MA.912.A.3.4

4.

ANS: D PTS: 1 STA: MA.912.A.3.5

5.

ANS: B PTS: 1 STA: MA.912.A.5.4

6.

ANS: C PTS: 1 STA: MA.912.A.3.5

7.

ANS: C PTS: 1 STA: MA.912.A.3.10

8.

ANS: C PTS: 1 STA: MA.912.A.3.4

9.

ANS: C PTS: 1 STA: MA.912.A.3.8

10.

ANS: B PTS: 1 STA: MA.912.A.2.3

11.

ANS: C PTS: 1 STA: MA.912.A.4.1

12.

ANS: A PTS: 1 STA: MA.912.A.6.1

13.

ANS: C PTS: 1 STA: MA.912.A.3.3

14.

ANS: A PTS: 1 STA: MA.912.A.3.14

15.

ANS: A PTS: 1 STA: MA.912.D.7.2

16.

ANS: B PTS: 1 STA: MA.912.A.6.1

17.

ANS: A PTS: 1 STA: MA.912.A.5.4

18.

ANS: C PTS: 1 STA: MA.912.A.2.4

19.

ANS: A PTS: 1 STA: MA.912.A.3.3

20.

ANS: D PTS: 1 STA: MA.912.A.3.1

21.

ANS: C PTS: 1 STA: MA.912.A.3.9

22.

ANS: B PTS: 1 STA: MA.912.D.7.1

23.

ANS: C PTS: 1 STA: MA.912.A.3.1

24.

ANS: A PTS: 1 STA: MA.912.A.4.2

25.

ANS: A PTS: 1 STA: MA.912.A.3.10

26.

ANS: A PTS: 1 STA: MA.912.A.3.11

27.

ANS: B PTS: 1 STA: MA.912.A.4.1

28.

ANS: B PTS: 1 STA: MA.912.A.7.1

29.

ANS: B PTS: 1 STA: MA.912.D.7.2

30.

ANS: D PTS: 1 STA: MA.912.A.4.3

31.

ANS: C PTS: 1 STA: MA.912.A.4.2

32.

ANS: C PTS: 1 STA: MA.912.A.4.1

33.

ANS: A PTS: 1 STA: MA.912.A.3.1

34.

ANS: B PTS: 1 STA: MA.912.A.3.9

35.

ANS: C PTS: 1 STA: MA.912.A.2.3

36.

ANS: B PTS: 1 STA: MA.912.A.7.1

37.

ANS: A PTS: 1 STA: MA.912.A.3.8

38.

ANS: B PTS: 1 STA: MA.912.A.2.4

39.

ANS: A PTS: 1 STA: MA.912.A.7.2

40.

ANS: C PTS: 1 STA: MA.912.A.3.8

ID: A

2

41.

ANS: D PTS: 1 STA: MA.912.A.3.11

42.

ANS: B PTS: 1 STA: MA.912.A.4.3

43.

ANS: A PTS: 1 STA: MA.912.A.4.3

44.

ANS: C PTS: 1 STA: MA.912.A.3.3

45.

ANS: C PTS: 1 STA: MA.912.A.5.4

46.

ANS: B PTS: 1 STA: MA.912.A.3.14

47.

ANS: C PTS: 1 STA: MA.912.A.1.8

48.

ANS: B PTS: 1 STA: MA.912.A.4.4

49.

ANS: C PTS: 1 STA: MA.912.A.3.4

50.

ANS: A PTS: 1 STA: MA.912.A.4.2

51.

ANS: A PTS: 1 STA: MA.912.D.7.1

52.

ANS: B PTS: 1 STA: MA.912.A.6.2

53.

ANS: C PTS: 1 STA: MA.912.A.2.4

54.

ANS: D PTS: 1 STA: MA.912.A.2.3

55.

ANS: D PTS: 1 STA: MA.912.A.3.9