Free Printable Algebra 1 Semester 1 EOC

1.

a)

67

b)

83

c)

97

d)

103

e)

76

2.

⅗ - ¼ =

a)

7/20

b)

2/4

c)

17/20

d)

2

e)

2/9

3.

36 ÷ [(6-3) x 3] + 3

a)

7

b)

12

c)

15

d)

6

4.

Which of the expressions when simplified that create rational numbers?

a)

1/4 +1/2

b)

π/2

c)

2√3

d)

∛25+4

e)

π/π

5.

Which of the expressions when simplified that create rational numbers?

a)

1/4 +1/2

b)

π/2

c)

2√3

d)

∛25+4

e)

π/π

6.

The volume formula for a pyramid is given by the equation above. Which equation solves this formula for h?

a)

h=1/3V(b)

b)

h=3V(b)

c)

d)

e)

7.

Simplify:

a)

A

b)

B

c)

C

d)

D

8.

Simplify the following expression:

-8 (5b + 2) -7 (b - 5) +b

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b -19

e)

-46b +19

9.

$\frac{6+\left(12-4\right)^2}{2}$

a)

9

b)

88

c)

70

d)

38

e)

35

10.

What is [ (12x³y⁵z⁷)/ (144x^-4 y⁷z^-3)]⁰

a)

12(x⁷z¹⁰)

b)

(x⁷z¹⁰)/12y²

c)

1

d)

(x⁷y^-2z¹⁰)/12

e)

(12x³y⁵z⁷)

11.

Factor out the GCF

3x-15

a)

3(x+15)

b)

3(x-15)

c)

3(x-5)

d)

3(x+5)

e)

3x-15

12.

Simplify.

-5n + 2(4 - 5n)

a)

-15n + 8

b)

-5n - 2

c)

-5n + 9

d)

5n + 8

e)

-15n + 9

13.

Simplify the following expression:

-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

e)

-7x + 13

14.

Which of the following is equivalent to the expression below?

4x + 3(2x - 1) - 4x

a)

6x - 3

b)

6x + 3

c)

14x - 3

d)

14x + 3

e)

3x

15.

Simplify the following expression:

19 - ( 3 - 5b)

a)

16 + 5b

b)

22 + 5b

c)

16 - 5b

d)

22 - 5b

e)

Expression is already simplified

16.

Which property justifies rewriting

3x-5x as (3-5)x

a)

Associative property of multiplication

b)

Distributive Property

c)

Community Property of Subtraction

d)

Transitive Property

e)

Reflexive Property

17.

Simply:

a)

-8

b)

-4

c)

-2

d)

6/5

e)

2

18.

Simplify the following expression:

-8 (5b + 2) -7 (b - 5) +b

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b -19

e)

-46b +19

19.

What is [ (12x³y⁵z⁷)/ (144x^-4 y⁷z^-3)]⁰

a)

12(x⁷z¹⁰)

b)

(x⁷z¹⁰)/12y²

c)

1

d)

(x⁷y^-2z¹⁰)/12

e)

(12x³y⁵z⁷)

20.

Simplify.

2x^-5y⁷⋅3x^-4y^-2

a)

6x⁹y⁹

b)

6y⁵/x⁹

c)

6/x⁹y⁵

d)

6/x⁹y⁹

e)

5x^-9y⁵

21.

The statement “If (1/2)x=-5, then x=-10.”

Which of the following properties was used to find this solution

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Commutative Property of Division

e)

Associative Property of Subtraction

22.

What is the justification for step 2?

a)

Substitution property (simplify)

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

e)

Reflexive Property

23.

3y+6+4y-7=-8

a)

y=-1

b)

y=-8

c)

y=1

d)

y=7

e)

y=8

24.

-2x-7+3x=10

a)

x=-2

b)

x=3

c)

x=10

d)

x=17

e)

x=20

25.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

e)

No Solution

26.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

e)

33

27.

Solve for x.

a)

55

b)

60

c)

15

d)

35

e)

25

28.

7(1 - y) = -3(y - 2)

a)

y = 1/4

b)

y = 4

c)

y = 5

d)

Infinite Solutions

e)

No solutions

29.

Translate:

Four times a number plus six IS 30.

a)

4 + 6 = 30

b)

4x + 6 = 30

c)

x + 4 times 6 = 30

d)

30 = 4x

e)

4(x+6) = 30

30.

Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?

a)

1/2d + 27

b)

d + 27 = 58

c)

1/2d + 27 = 58

d)

1/2d - 27 = 58

e)

2d + 27 = 58

31.

The volume formula for a pyramid is given by the equation above. Which equation solves this formula for h?

a)

h=1/3V(b)

b)

h=3V(b)

c)

d)

e)

32.

The equation for finding the volume of a sphere is V=4/3πr³, if an problems gives the volume of a shape which equation could be used to find the radius?

a)

(4/3πV)

---------- = r

3

b)

(3/4πV)

---------- = r

3

c)

√(3/4πV)=r

d)

∛(3/4πV)=r

e)

∛(3/4V/π)=r

33.

Which statement is an accurate interpretation of the student's work?

a)

The correct solution is x=11

b)

The student made an error in Step 1

c)

The student made an error in Step 2

d)

The student made an error in Step 3

e)

The solution to the equation in Step 2 is x=11, but this is not a solution to the original equation

34.

Which is the solution to (√(4r))+7=3?

a)

-4

b)

2

c)

4

d)

No Real Solutions

e)

-2

35.

x²= 100

a)

10

b)

10 or -10

c)

50

d)

50 or -50

e)

No real solutions

36.

Solve by square roots (SADMEP)

x² - 64 = 0

a)

64

b)

8

c)

8 or -8

d)

1 or -64

e)

No real solutions

37.

Find the value of x:

\sqrt{x}=4

(a)

38.

Solve the following equation for x:

10x + 2x + 5 = 8x + 4x + 7

a)

no solution

b)

infinite solutions

c)

x = 12

d)

x = 0

e)

x = -2

39.

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

a)

15x + 3x = 99 and 6 movies

b)

15x + 3 = 99 and 6 movies

c)

3x + 15 = 99 and 28 movies

d)

3x + 99 = 15 and 28 movies

e)

15x+99= 3 and 6 movies

40.

a)

f = (w - k) / Z

b)

f = (w + k) / Z

c)

f = (wk) / Z

d)

f = Zw-Zk

e)

f = Z(w-k)

41.

Solve for x: $x-3\left(4-x\right)=8$

a)

$x=5$

b)

$x=-1$

c)

$x=-5$

d)

$x=-2$

e)

No Solution

42.

Solve for h.

V = πr²h

a)

h = V/(πr²)

b)

h = V - πr²

c)

h = πr²V

d)

h = V + πr²

e)

h can not be solved for

43.

-6x + 5 = -6x + 5

a)

no solution

b)

two solutions

c)

one solution

d)

infinitely many solutions

e)

three solutions

44.

A furnace repair person charges an initial fee of $80 plus $30 per hour to do repairs. After how many hours would the cost of the repair be at least $320?

a)

6 hours

b)

7 hours

c)

8 hours

d)

9 hours

e)

2 hours

45.

If y = -4/5x - 2, what is the value of x when y = -9?

(a)

46.

Nathan invested his $6000 poker winnings in a 5 year Certificate of Deposit at a rate of 0.04. Use the formula I = Prt to find the amount of interest Nathan's investment will earn.

a)

$240

b)

$6240

c)

$1200

d)

$7200

e)

$6000

47.

Use the formula $C=\frac{5}{9}\left(F-32\right)$ to convert 311° F to degrees Celsius.

a)

591.8°

b)

155°

c)

190.6°

d)

140.8°

e)

98.6°

48.

Given the formula $A=\frac{1}{2}h\left(B+b\right);$ solve for B.

a)

$B=\frac{2A-h}{h}$

b)

$B=\frac{A-bh}{h}$

c)

$B=2A-bh$

d)

$B=\frac{2A+bh}{h}$

e)

$B=\ \frac{A\ +2h}{h}$

49.

Solve $x-\frac{1}{11}y=-4$ for y.

a)

$y=x+44$

b)

$y=11x+4$

c)

$y=x+4$

d)

$y=11x+44$

50.

Translate the following statement into an equation: The sum of four times a number and 9 is equal to the difference of twice the number and 1.

a)

$4x+9=2x-1$

b)

$4x+9=2x+1$

c)

$4\left(x+9\right)=2x-1$

d)

$4x-9=2x-1$

e)

$4x-9=2x-1$

51.

Translate the statement into an equation. The quotient of -4 and a number, decreased by 6 is 46.

a)

$\frac{x}{-4}-6=46$

b)

$\frac{-4}{x}-6=46$

c)

$\frac{x-6}{-4}=46$

d)

$\frac{-4}{x-6}=46$

52.

A car rental agency advertised renting a luxury, full-size car for$34.95 per day and $0.39 per mile. If you rent this car for 2 days, how many whole miles can you drive if you only have $200 to spend?

a)

100

b)

10

c)

333

d)

418

e)

73

53.

When Milo got promoted at work, he received a 5% pay raise. He now earns $54,600 per year. What was his annual salary before his raise?

a)

$2,730

b)

$52,000

c)

$2,600

d)

$54,600

e)

$530,000

54.

The local clothing store marks up the price that it pays to the clothing manufacturer by 28%. If the selling price of a pair of jeans is $130, how much did the clothing store pay for the jeans?

a)

$180.56

b)

$34.21

c)

$166.40

d)

$101.56

e)

$95.23

55.

The sum of three consecutive integers is 366. Find the numbers.

a)

120, 121,122

b)

122, 123, 124

c)

121, 122, 123

d)

120, 122, 124

e)

119, 120, 121

56.

What two consecutive even integers have a sum of 90?

a)

30 and 60

b)

43 and 47

c)

44 and 46

d)

10 and 80

e)

42 and 48

57.

The sum of 4 consecutive integers is 180. What is the smallest number in the group?

a)

61

b)

62

c)

176

d)

44

e)

42

58.

The sum of three consecutive integers is 48. What is the smallest number in the group?

a)

16

b)

15

c)

17

d)

24

e)

25

59.

The sum of two consecutive integers is 123. What is the smallest of the two integers?

a)

60

b)

61

c)

62

d)

63

60.

The sum of three consecutive integers is 48. What is the smallest number in the group?

a)

16

b)

15

c)

17

d)

24

e)

25

61.

What is the rate of change to rent a raft from Ryan's Rafts?

a)

$15 per hour

b)

$2.25 per hour

c)

$17.25 per hour

d)

$1 per hour

e)

Not enough information

62.

Which company pays the most per pizza?

a)

Bombinoe's Pizza

b)

Little Squeezer's Pizza

c)

Pizza Tent

d)

Papa Ron's

e)

Not enough information

63.

Robert made a graph to represent how far he traveled on a train.

Determine the average rate of the train, in miles per hour, for the 3 hours Robert was traveling.

a)

180 mph

b)

120 mph

c)

60 mph

d)

40 mph

e)

The graph is not linear so you cannot find the average rate of change.

64.

The table shows the temperature in a home in degrees Fahrenheit, y, based on the number of hours since midnight, x. Check ALL intervals that have a positive slope.

a)

hour 0 to hour 1

b)

hour 2 to hour 5

c)

hour 5 to hour 9

d)

hour 9 to hour 12

e)

hour 11 to hour 14

65.

Select the graph that correctly represents cost y, in dollars, to buy x grapefruits that cost $1.50 each.

a)

b)

c)

d)

e)

The cost of the grapefruit should be a negative slope because it cost money to buy them so none of the graphs are correct

66.

What are the x- and y -intercepts on this graph?

a)

(0,3), (0,1.5)

b)

(3,0), (1.5,0)

c)

(3,0), (0,1.5)

d)

(1.5,0), (3,0)

e)

(1.5,0), (0,3)

67.

There was initially 3 inches of snow on the ground. Then a big snow storm came that added 2 inches of snow each hour. Write a linear equation to represent the situation then find out how many inches will be on the ground after 4 hours.

Let H represent height of the snow and h represent hours.

a)

H = 2h + 3

Snow after 4 hours: 11 inches

b)

H = 4h + 2

Snow after 4 hours: 18 inches

c)

H = 3h + 2

Snow after 4 hours: 14 inches

d)

H = 2h + 4

Snow after 4 hours: 12 inches

e)

H = 4h + 3

Snow after 4 hours: 21 inches

68.

You planted flowers for the spring that grow 3 inches per week. After 3 weeks the flowers are 13 inches tall. Write a linear model to fit then situation, then find the plants starting height.

Write a function to model the flower and solve for the original height (b)

a)

f(x) = 3x + b & f(3)=13

b= 4 inches

b)

f(x) = 3x + 13 & f(x)=3

b= 13 inches

c)

f(x) = 13h + b & f(3)=13

b= 13 inches

d)

f(x) - 3w + 13= 4

b=13 inches

e)

f(x) = 13h + b & f(13)=3

b= 13 inches

69.

Daniel and his friends are going to the carnival. The carnival has a $6.80 entry fee. It costs $0.70 for each ride.

Write a linear model to fit the situation then find how much it would cost if they went on 6 rides.

Let C represent cost and r represent rides.

a)

C = 0.70r + 6.80

Cost for 6 rides: $11.00

b)

R = 0.70c + 6.80

Cost for 6 rides: $1.14

c)

C = 6.80r + 0.70

Cost for 6 rides: $11.00

d)

C = .70r + 6

Cost for 6 rides: $11.00

e)

C=.70r

Cost for 6 rides: $4.20

70.

Which statement below accurately represents the graph choose all correct statements?

a)

$100 is earned for each hour worked

b)

$100 is earned for every 2 hours worked

c)

$500 is earned for every 8 hours worked

d)

The income is earned at $66.66 per/hour

e)

The income is earned at $62.50 per/hour

71.

Find the rate of change

a)

1/2

b)

2

c)

-1/2

d)

Not a constant rate of change exponential

e)

Not a constant rate of change quadratic

72.

The cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service is cheaper when 50 texts are sent or received in one month?

a)

Patrick’s service would cost $4.50. Melanie’s would cost $10.50. Patrick’s is cheaper.

b)

Patrick’s service would cost $6.50. Melanie’s would cost $12.50. Patrick’s is cheaper.

c)

Patrick’s service would cost $16.50. Melanie’s would cost $12.50. Melanie's is cheaper.

d)

Patrick’s service would cost $12.50. Melanie’s would cost $6.50. Melanie's is cheaper.

e)

50 texts is the break even point for cost, both plans have the same cost.

73.

What is the slope of the line shown?

a)

6/11

b)

-6/11

c)

-11/6

d)

11/6

e)

0

74.

The table represents points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

a)

2/9

b)

-9/2

c)

9/2

d)

-2/9

e)

0

75.

In the equation: $y=6x+\frac{1}{4}$ , which one is an "initial value"

a)

1/4

b)

6

c)

x

d)

y

e)

=

76.

In the equation: $y=6x+\frac{1}{4}$ , which one is the "slope"

a)

1/4

b)

6

c)

x

d)

y

e)

=

77.

In the equation: $y=6x+\frac{1}{4}$ , which one is the "intercept"

a)

1/4

b)

6

c)

x

d)

y

e)

=

78.

In the equation: $y=6x+\frac{1}{4}$ , which one is the "dependent variable"

a)

1/4

b)

6

c)

x

d)

y

e)

=

79.

In the equation: $y=6x+\frac{1}{4}$ , which one is a "rate of change"

a)

1/4

b)

6

c)

x

d)

y

e)

=

80.

In the equation: $y=6x+\frac{1}{4}$ , which one is the "independent variable"

a)

1/4

b)

6

c)

x

d)

y

e)

=

81.

a)

A

b)

B

c)

C

d)

D

e)

E

82.

a)

A

b)

B

c)

C

d)

D

e)

E

83.

a)

A

b)

B

c)

C

d)

D

e)

E

84.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150x - 40

b)

y = 40x + 150

c)

y = 150x + 40

d)

y = 40x - 150

e)

y = -40x -150

85.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 12.5x + 30

b)

y = 12.5 + 30

c)

y = 30x +12.5

d)

y = 30x - 12.5

e)

y = 12.5x -30

86.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 25.5 + 8.5x

c)

y = 8.5 + 25.5x

d)

y = 32.5 - 8.5x

e)

y = 8.5-25.5x

87.

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

a)

y = 7x + 20

b)

y = 7 + 20x

c)

y = 20 + 7

d)

y = 7x -20

e)

y = 7 - 20x

88.

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

a)

y = 40 + 2x

b)

y = - 2x + 40

c)

y = 2 + 40x

d)

y = 2 - 40x

e)

y = 20 + 2

89.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = - 30x + 100

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

e)

y = -30x -100

90.

a)

$y=-3x+4$

b)

$y=\frac{1}{3}x+4$

c)

$y=4x-3$

d)

$y=-3x+7$

e)

$y\ =\ 4x+3$

91.

a)

$y=-5x-1$

b)

$y=-x-5$

c)

$y=-\frac{1}{5}x-1$

d)

$y=-2x+3$

e)

$y\ =\ -3x\ +\ 5$

92.

a)

$y=3x-1$

b)

$y=-9x-1$

c)

$y=\frac{1}{3}x+2$

d)

$y=-\frac{1}{3}x-9$

e)

$y=3x+2$

93.

a)

$y=4x+1$

b)

$y=\frac{1}{4}x-3$

c)

$y=-x+9$

d)

$y=-3x-1$

e)

$y=-\frac{1}{3}x+3$

94.

a)

$y=-3x+18$

b)

$y=-7x-3$

c)

$y=-6x$

d)

$y=-\frac{1}{6}x-3$

e)

$y=-\frac{1}{7}x+3$

95.

Choose the equation that is graphed in the picture.

a)

y = 2x - 2

b)

y = -2x - 2

c)

y = -2x + 2

d)

y = 1/2x - 2

e)

y = 2x + 1

96.

Choose the equation that is graphed in the picture.

a)

y = 2/3x - 2

b)

y = 3/2x + 3

c)

y = -3/2x + 3

d)

y = -2/3x - 3

e)

y = 3/2x - 2

97.

Choose the equation that is graphed in the picture.

a)

y = -3/4x + 3

b)

y = -3/4x - 4

c)

y = 4/3x + 4

d)

y = -4/3x + 4

e)

y = -4/3x + 3

98.

Write the equation for this graph?

a)

y = - 10x + 60

b)

y = - 5x + 60

c)

y = - ¹/₂x + 60

d)

y = - x + 60

e)

y = -12x + 60

99.

Write the equation of the line.

a)

y = ³/₅x + 1

b)

y = ³/₅x - 1

c)

y = ⁵/₃x + 1

d)

y = ¹/₂x - 1

e)

y = 5/3x - 1

100.

In the following pattern: 6, 6, 6, 6, 6, ...

Select ALL the statements that are true

a)

An equation to represent the pattern would be: y = 6

b)

The pattern is NOT changing. It is staying constant

c)

The pattern is changing by adding 1

d)

The pattern would be a horizontal line if graphed

e)

An equation to represent the pattern would be: y = 6x

101.

Which pattern below is best represented by the expression:

7x - 2

a)

5, 7, 9, 11, 13

b)

5, 12, 19, 26, 33

c)

7, 14, 21, 28, 35

d)

-2, -9, -16, -23, -30

e)

7, 9, 11, 13, 15

102.

Over what interval is this function constant?

a)

{x| -5 < x < ∞}

b)

{x| -3 < x < 4}

c)

{x| 4 < x < ∞}

d)

-5

e)

{y| -5=y}

103.

Identify the common difference.

3, 7, 11, 15, ...

a)

6

b)

-4

c)

4

d)

5

e)

3

104.

Find the rate of change

a)

1/2

b)

2

c)

-1/2

d)

Not a constant rate of change exponential

e)

Not a constant rate of change quadratic

105.

Which statement below accurately represents the graph choose all correct statements?

a)

$100 is earned for each hour worked

b)

$100 is earned for every 2 hours worked

c)

$500 is earned for every 8 hours worked

d)

The income is earned at $66.66 per/hour

e)

The income is earned at $62.50 per/hour

106.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.

y=3x+10

What does the y-intercept of the graph of this equation represent?

a)

The monthly fee

b)

How much Rich pays per visit

c)

The number of times Rich goes to the gym

d)

The total cost at the end of the month

e)

How much it cost Rick the first time he visits the gym each month

107.

Alana S. says: A train travels 625 miles at a constant speed, s, in miles per hour. Select an equation that can be used to find the speed of the train, if the time to travel 250 miles is 2.5 hours.

a)

s = (625 - 250) / 2.5

b)

s = 250 / 2.5

c)

s = 625 / 2.5

d)

s = 250 × 2.5

e)

s = (625 + 250)/ 2.5

108.

Andrew M. says: Jake is planning a vacation. The vacation will cost a total of $1400. Starting tomorrow, Jake will put $100 into his bank account every week to pay for the vacation, and he will have enough money in his account for the vacation in 8 weeks. How much money does Jake have in his bank account now?

a)

$400

b)

$600

c)

$800

d)

$1000

e)

$1400

109.

A sloth travels 3,000 meters at a constant speed, s. Select an equation that can be used to find the speed of the sloth if the time taken to travel the 4,000 meters is 2 hours.

a)

s = 4,000 / 2

b)

s = 4,000 * 2

c)

s = 3,000 / 2

d)

x = 3,000 * 2

e)

Not enough information

110.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

e)

Many Solutions

111.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

e)

(-3,-2)

112.

What is the solution?

(Hint: Both lines are graphed over each other)

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

e)

Not Enough Information

113.

Solve the system by elimination.

−7x + 6y = 29

10x + y = 16

a)

(1,6)

b)

(−1,−3)

c)

(−3, −1)

d)

(−1, 3)

e)

No Solution

114.

The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?

a)

2 minutes

b)

4 minutes

c)

7 minutes

d)

10 minutes

e)

90 minutes

115.

Match the system to the graph.

a)

y ≥ -x - 1 and y < x + 4

b)

y < -x - 1 and y ≥ x + 4

c)

y > -x - 1 and y ≥ x + 4

d)

y > -x - 1 and y ≤ x + 4

e)

y > -x - 1 and y > x + 4

116.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 4

d)

y > 3x and y < -2x + 4

e)

y ≤ 3x and y < -2x + 4

117.

Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

a)

(0, 7)

b)

(3, 19)

c)

(5, 25)

d)

(0, 10)

e)

(19,3)

118.

Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

a)

(0, 7)

b)

(3, 19)

c)

(5, 25)

d)

(0, 10)

e)

(19,3)

119.

Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?

a)

8 large, 2 small

b)

6 large, 4 small

c)

4 large, 2 small

d)

2 large, 2 small

e)

4 large, 4 small

120.

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

a)

Adult $13

Child $5

b)

Adult $10

Child $6

c)

Adult $8

Child $16

d)

Adult $12

Child $13

e)

Adult $13

Child $12

121.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38

2s + 3c = 52

b)

3s + 1c = 38

3s + 2c = 52

c)

s + c = 38

s + c = 52

d)

3s + 3c = 38

1s + 2c = 52

e)

2s + 1c = 38

3s + 3c = 52

122.

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

a)

x + y = 1550

y = 4x

b)

x + y = 1550

y = x + 4

c)

y - x = 1550

y = 4x

d)

y = 1550 + x

y = x + 4

e)

x+ y = 4

y = x -1550

123.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?

a)

40 nickels, 40 dimes

b)

52 nickels, 28 dimes

c)

28 nickels, 52 dimes

d)

30 nickels, 50 dimes

e)

50 nickels, 30 dimes

124.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

(35, 52)

b)

(18, 69)

c)

( 52, 35)

d)

(61, 26)

e)

(69,61)

125.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5

Oatmeal Cookies $3

b)

Sugar Cookies $4

Oatmeal Cookies $8

c)

Sugar Cookies $2

Oatmeal Cookies $6

d)

Sugar Cookies $3

Oatmeal Cookies $6

e)

Sugar Cookies $6

Oatmeal Cookies $5

126.

Solve the system of equations.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(5,-2)

c)

(2,-5)

d)

(2,5)

e)

(5,2)

127.

What is the value of x in the solution to the system of equations?

a)

1

b)

5/3

c)

8/3

d)

7/3

e)

1/3

128.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5

x+y=87

b)

1.5x+0.5y=78.5

1.5x+0.5y=87

c)

x+y=78.5

1.5x+0.5y=87

d)

x+y=78.5

x+y=87

e)

1.5x+1.5y=78.5

0.5x+0.5y=87

129.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -1)

d)

(0, 1)

e)

(-1, 0)

130.

Solve for x and y

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

e)

No Solution

131.

Determine the number of solutions to the equation.

a)

one

b)

two

c)

no solution

d)

infinitely many solutions

e)

not enough information to determine

132.

Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg.

What are the constraints?

a)

x≤10, y≤3, x+y≤12

b)

0≤x≤10, 0≤y≤3, x+y≤12

c)

x≥0, y≥0, 10x+3y≤12

d)

x≤10, y≤3, 10x+3y≤12

e)

Not enough information to know all the constraints

133.

Solve the system of equations.

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

134.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

135.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

e)

no solution

136.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

e)

no solution

137.

Solve the system of equations.

a)

(3, 33)

b)

(7, 77)

c)

(2, 22)

d)

No solution

e)

Infinite solutions

138.

Solve the system of equations.

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

139.

Solve:

y = 8x + 1

y = 6x + 3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

No Solution

e)

Infinite Solutions

140.

Solve:

y = 4x - 10

y = 3x - 5

a)

(5 , 10)

b)

(1, -5)

c)

(2 , 1)

d)

(1, 2)

e)

no solution

141.

Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg.

What are the constraints?

a)

x≤10, y≤3, x+y≤12

b)

0≤x≤10, 0≤y≤3, x+y≤12

c)

x≥0, y≥0, 10x+3y≤12

d)

x≤10, y≤3, 10x+3y≤12

e)

Not enough information to know all the constraints

142.

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

a)

2x + 3y ≤ 18

b)

x + y ≤ 6

c)

x + y ≤ 9

d)

3x + 2y ≤ 18

e)

x+y<3

143.

Which of the following represents the situation:

Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.

a)

10x+15y≤480

45x+25y≥250

b)

10x+25y≤200

15x+45y≤480

c)

10x+25y>200

15x+45y<480

d)

10x+25y≥200

15x+45y≤480

e)

This is a systems of equations that would be solve most simply by using elimination.

144.

y<mx+b solve the inequality for x

a)

x < m(y-b)

b)

x > (-b+y)/m

c)

x < (b-y)/m

d)

x > m(b-y)

e)

x < my+b

145.

Which of the following is the graph for the systems of inequalities:

y ≤ -2x + 5

y > 3x - 1

a)

b)

c)

d)

e)

The shaded region should be on the top, so none of the graphs are shaded correctly

146.

Choose all the coordinate pairs that are a solutions to the systems of inequalities.

a)

(4,0)

b)

(0,4)

c)

The point of intersection of the two lines (1,1)

d)

(0,0)

e)

(8,-8)

147.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

e)

11 = a

148.

Which inequality is represented by this graph? hint: don't be tricked by the variable on the left

a)

2.75 > d

b)

2.75 < d

c)

2.75 ≥ d

d)

2.75 ≤ d

e)

2.75 = d

149.

x is no more than 100

a)

x ≤ 100

b)

x ≥ 100

c)

x < 100

d)

x > 100

e)

x = 100

150.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

e)

x = 4

151.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

e)

m is greater than 10

152.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

y > -1

d)

x < -1

e)

y < -1

153.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

e)

y≤ 2/5x - 1

154.

Which points are solutions to the graphed inequality? Select all that apply

a)

(1,1)

b)

(2,0)

c)

(0,2)

d)

(0,0)

e)

(5,0)

155.

Which graph best represents the following inequality?

a)

b)

c)

d)

e)

None of these graphs match the inequality

156.

An inequality is solved as shown below. Between which two steps is an error made?

a)

Between Step 1 and Step 2

b)

Between Step 2 and Step 3

c)

Between Step 3 and Step 4

d)

Between Step 6 and Step 7

e)

Between Step 7 and Step 8

157.

What graph matches this inequality?

a)

b)

c)

d)

e)

None of the graphs match the inequality

158.

What graph matches this inequality?

a)

b)

c)

d)

e)

None of the graphs match the inequality

159.

What inequality matches the graph?

a)

b)

c)

d)

e)

None of the inequalities match the graph

160.

What inequality matches the graph?

a)

b)

c)

d)

e)

None of the inequalities match the graph

161.

Alicia has at most $196 to buy a new baseball glove and a

new baseball bat. Which inequality represents this situation?

a)

y ≤ 196 – x

b)

y ≤ 196 + x

c)

196 ≤ y + x

d)

y – x ≥ 196

e)

y < 196 + x

162.

To satisfy local building codes, a rectangular lot must have a perimeter of at least 500 feet before a building can be constructed on it. If L represents the length (in feet) of the lot and W represents its width (in feet), which inequality represents this situation?

a)

2L + 2W ≤ 500

b)

2L + 2W < 500

c)

2(L + W) ≥ 500

d)

L + W ≥ 500

e)

L + W > 500

163.

The Bombetta Company wants to send a team of three representatives to a conference. Their budget is $700.00 plus $125.00 per day for expenses. If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

a)

125x + 700 ≥1,400

b)

700 + 125x ≤1,400

c)

700x + 125 ≤1,400

d)

125x - 700 ≤ 1,400

e)

700x + 125 < 1,400

164.

Kristie is booking a reception hall for her wedding. She is told it will cost $35 per person, plus an additional 15% of her total bill to pay the waitress working at the reception. If she has $10,000 to spend on the reception, what is an inequality that can be used to represent how many guest (g) she can invite?

a)

35g + 0.15(35g) ≥ 10,000

b)

35g + 0.15 ≤ 10,000

c)

35 + 0.15g ≤10,000

d)

35g + 0.15(35g) ≤ 10,000

e)

35g + 0.15(35g) > 10,000

165.

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

a)

150c + 325d < 6,500

b)

325c + 150d <6,500

c)

150c + 325d ≤ 6,500

d)

325c + 150d ≤ 6,500

e)

150c + 325d > 6,500

166.

A donut shop charges $0.70 for each donut and $0.30 for a carryout box. Shirley has $5.00 to spend. She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box. Which equation can be used to answer this problem?

a)

70x + 30 < 500

b)

30x + 70 < 500

c)

70x + 30 ≤ 500

d)

30x + 70 ≤ 500

e)

70x + 30 > 500

167.

1-4x≤21 or 5x≥25

a)

x≥ -5 or x≥5

b)

x≤ -4 and x≤ 8

c)

No Solutions

d)

All Real Numbers

e)

None of the above

168.

a)

x ≥ -154

b)

x ≤ -154

c)

x ≤ 154

d)

x ≥ 154

e)

x > 154

169.

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

a)

X ≤ 169

b)

X < 169

c)

X < 156

d)

X > 156

e)

X > 169

170.

Match the system to the graph.

a)

y ≥ -x - 1 and y < x + 4

b)

y < -x - 1 and y ≥ x + 4

c)

y > -x - 1 and y ≥ x + 4

d)

y > -x - 1 and y ≤ x + 4

e)

y > -x - 1 and y < x + 4

171.

Is this graph a function or not a function?

a)

Function with a range -3≥y≥3

b)

Function with a range -3≤y≤3

c)

Function with a domain -5≤x≤2

d)

Function with a domain -5≥x≥2

e)

Not a Function

172.

Give the domain and range. Tell if it is a function.

a)

D: {-4, -2, 0, 2}

R: {-2, -2, 1, 1}

Function

b)

D: {-4, -2, 0, 2}

R: {-2, 1}

Function

c)

D: {-4, -2, 0, 2}

R: {-2, -2, 1, 1}

Not a Function

d)

D: {-4, -2, 0, 2}

R: {-2, 1}

Not a Function

e)

Not enough information to determine range and domain.

173.

What is the range of the following relation:

(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

{-4, 4, 8, 9}

b)

{-2, 3, 8, 10}

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

e)

(-4,8) - (9,-2)

174.

What is the domain of the graph?

a)

1 ≤ x ≤ 4

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

e)

1 > x > 5

175.

Is this graph a function or not a function?

a)

Function with a range y≤3

b)

Function with a range y≥3

c)

Function with a domain -4≤x≤5

d)

Function where the domain and range are all real numbers

e)

Not a Function

176.

The following is a graph of a function of x. Check ALL of the following values that belong to the domain of the function.

a)

-7

b)

-3

c)

0

d)

2

e)

8

177.

If f(x)=6x²-4,

what is f(-3)?

a)

-328

b)

-40

c)

32

d)

50

e)

-58

178.

What is the apparent range of the function of x shown on the graph?

a)

x≥1

b)

x≥2

c)

y≥1

d)

y≥2

e)

All real numbers

179.

What is the range of the function shown?

a)

{-7, -2, 0, 5}

b)

{-9, -4, -1}

c)

{-9, -7, -4, -2, -1, 0, 5}

d)

{-7,-1}

e)

The mapping does not represent a function

180.

Alondra sells toy trucks and toy cars. The trucks are $3.50 and cars are $6. She earned $319. Alondra represented this situation with the following equation:

3.50x + 6y = 319

Where x is the number of trucks and y is the number of cars. What would be a reasonable domain for this equation?

a)

{0,1,2,3,…89,90,91}

b)

0 < x < 91

c)

1 < y < 53

d)

{0,1,2,3,…51,52,53}

e)

0 < x < 53

181.

Alondra sells toy trucks and toy cars. The trucks are $3.50 and cars are $6. She earned $319. Alondra represented this situation with the following equation:

3.50x + 6y = 319

Where x is the number of trucks and y is the number of cars. What would be a reasonable range for this equation?

a)

{0,1,2,3,…89,90,91}

b)

0 < x < 91

c)

1 < y < 53

d)

{0,1,2,3,…51,52,53}

e)

0 < x < 53

182.

Which of the following represents a relation that IS a function

a)

b)

c)

d)

183.

What is the value of $f\left(2\right)$ when $f\left(x\right)=x^2+2x+2$

a)

8

b)

10

c)

12

d)

14

184.

If the function $f\left(x\right)=x^2-2$ has a domain of $\left\{1,2,3,4,5\right\}$ what is the range?

a)

$\left\{-1,2,8,17,21\right\}$

b)

$\left\{-1,5,15,22,54\right\}$

c)

$\left\{-1,15,22,36,56,88\right\}$

d)

$\left\{-1,2,7,14,23\right\}$

e)

$\left\{1,2,3,4,5\right\}$

185.

Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?

a)

Ms. Brackemyer starts with 8 pencils and ends with 52.

b)

After 8 days, Ms. Brackemyer has 52 pencils.

c)

Ms. Brackemyer starts with 52 pencils and gets 5 more every day.

d)

Every day, Ms. Brackemyer gets 12 new pencils until she has 52.

e)

Ms. Brackemyer gets 8 new pencils until she has 52.

186.

h(x) = 3x + 3

g(x) = -4x + 1

Find (h - g)(10)

a)

-6

b)

6

c)

74

d)

-74

e)

72

187.

Given f(x)=2x²+25, find f(-5).

a)

f(5) = 75

b)

f(5) = -25

c)

f(5) = 5

d)

f(5) = 100

e)

f(5) = 0

188.

j(k(11))=

a)

9 - √17

b)

4

c)

2

d)

√8

e)

9√17

189.

Given g(x)= -3x and f(x)=x²+2, find f(g(x)).

a)

f(g(x))= -3x²-6

b)

f(g(x))= -3x²+2

c)

f(g(x))=9x²+2

d)

f(g(x))= -9x²+2

e)

f(g(x))= -9x²-6x

190.

Select for the middle statement only

a)

Domain: all real numbers

b)

Domain: x greater than or equal to 3

c)

Range: all real numbers

d)

Range y greater than or equal to 0

191.

Select for the bottom statement only

a)

Domain: all real numbers

b)

Domain: x greater than or equal to 3

c)

Range: all real numbers

d)

Range y greater than or equal to 0

192.

What is the range of the function shown?

a)

{-7, -2, 0, 5}

b)

{-9, -4, -1}

c)

{-9, -7, -4, -2, -1, 0, 5}

d)

{-1}

e)

The mapping does not represent a function

193.

Which of the following represents a relation that IS a function

a)

b)

c)

d)

194.

If $f\left(x\right)=2x+5$ , what is the value of $f\left(8\right)$

a)

$f\left(8\right)=15$

b)

$f\left(8\right)=21$

c)

$f\left(8\right)=24$

d)

$f\left(8\right)=19$

195.

Decide whether each set of points might be on the graph of a function or cannot be on the graph of a function.

a)

A) no, B) yes, C) yes

b)

A) yes, B) no, C) yes

c)

A) no, B) no, C) yes

d)

A) no, B) no, C) no

e)

A) yes, B) yes, C) yes

196.

Select all values that

are in the domain of

the function as

shown in the graph.

a)

-20

b)

10

c)

150

d)

220

197.

Choose all of the ordered pairs that are solutions to the equation represented by the graph.

a)

(-1, 1)

b)

(-2, -7)

c)

(2, 1)

d)

(1, 3)

e)

(0, -3)

198.

Which graph or graphs represents a function? Chose all that apply.

a)

Graph B

b)

Graph C

c)

Graph A

199.

Which graph or graphs represents a function? Choose all that apply

a)

Graph A

b)

Graph B

c)

Graph C

200.

Give the domain and range. Tell if it is a function.

a)

D: {-4, -2, 0, 2}

R: {-2, -2, 1, 1}

Function

b)

D: {-4, -2, 0, 2}

R: {-2, 1}

Function

c)

D: {-4, -2, 0, 2}

R: {-2, -2, 1, 1}

Not a Function

d)

D: {-4, -2, 0, 2}

R: {-2, 1}

Not a Function

Algebra 1 Semester 1 EOC

Total questions: 200

Worksheet time: 10hrs 6mins

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