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ACC Final Review

Total questions: 100

Worksheet time: 7hrs 57mins

Name
Class
Date
1.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
2.
(5x - 6) - (x + 2)
a)
4x - 8
b)
4x - 4
c)
4x + 4
3.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
4.

What expression represents the perimeter of the triangle in simplest form?

a)

3x + 2

b)

x + 10

c)

13x

d)

3x + 10

5.

Simplify the expression:

5(4 - 2x) + 3x

a)

13x + 20

b)

5x + 20

c)

x + 20

d)

-7x + 20

6.

What expression represents the perimeter of the rectangle?

a)

4y - 4

b)

2y - 2

c)

4y + 4

d)

2y + 4

7.

Write in factored form: 3x+3

HINT: reverse distributive property

(a)  

8.

Write in factored form: 4x+28

HINT: reverse distributive property

a)

2(2x-14)

b)

4(x+7)

c)

4x(1+7)

d)

4(x+28)

9.

Which algebraic expression represents the area of the given rectangle>

a)

4x+5

b)

4x+20

c)

20x

d)

2x+18

10.

Which expression is equivalent to −25(15−20d+5c)-\frac{2}{5}\left(15-20d+5c\right)  ? Select both that apply.

a)

-30+40d-10c

b)

-6+8d-2c

c)

-2c+8d-6

d)

6-8d+2c

11.

0.5(−6x + 8) − 2x = 3x + 100.5\left(-6x\ +\ 8\right)\ -\ 2x\ =\ 3x\ +\ 10  

(a)  

12.

25(16 − 4x) = 12x + 3\frac{2}{5}\left(16\ -\ 4x\right)\ =\ 12x\ +\ 3  

(a)  

13.
4(2a + 3) < 3(a - 1)
a)
a < -3
b)
a > -3
c)
a < 3
d)
a > 3
14.
Solve:
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
15.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
16.

A recipe for cookies calls for 3 123\ \frac{1}{2}  cups of sugar. Amy has already put in 2 142\ \frac{1}{4}  cups. How many more cups does she need to put

in?

a)

34\frac{3}{4}  cups

b)

14\frac{1}{4}  cups

c)

1141\frac{1}{4}  cups

d)

1341\frac{3}{4}  cups

17.

Jonathan noticed that it was 25°F at 8:10am when he arrived at school. At 2:35pm when he left school it was -12°F. What was the change in temperature?

a)

37 degrees

b)

-37 degrees

c)

13 degrees

d)

-13 degrees

18.

Jair had $65 in his bank account. He withdrew $17 for a meal out. Then, he withdrew $8 to buy a gift for his friend. Finally, he deposited $25 in babysitting money. How much money was in his account after these transactions?

a)

$15

b)

$115

c)

$65

d)

-$15

19.

Brian had -$10 in his bank account. He sold 4 of his drawings for $7.50 each and deposited the money he earned into his bank account. How much money was in his account after he made the deposit?

a)

$20

b)

-$2.50

c)

$17.50

d)

$40

20.

D. There are 48 people in a gym class. What fraction represents the number of people running?

  • - 58\frac{5}{8} of the people were in spin class

  • - 13\frac{1}{3} of the people were lifting weights

  • - the remaining people were running

a)

124\frac{1}{24}

b)

2324\frac{23}{24}

c)

18\frac{1}{8}

d)

112\frac{1}{12}

21.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $150 in her account. Which inequality represents this situation?

a)

25+0.50x≥15025+0.50x\ge150

b)

25x+0.50>15025x+0.50>150

c)

25x+0.50≥15025x+0.50\ge150

d)

25+0.50x>15025+0.50x>150

22.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
23.
Match the graph with its inequality.
a)
c > 9
b)
c < 9
c)
c ≥ 9
d)
c ≤ 9
24.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

25.

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

a)

50

b)

20

c)

15

d)

25

26.
Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Which company is more expensive if I need 6 additional windows installed? How much more expensive would it be? 
a)
Company A; $1.00
b)
Company A; $1.25 
c)
Company B; $1.00 
d)
Company B; $1.25 
27.
At a store a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store eggs cost $2.75 and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same? 
a)
2
b)
4
c)
1
d)
6
28.

A water bottle costs $9.45. Sales tax is 7%. What is the total cost?

a)

$9.52

b)

$0.66

c)

$10.11

d)

$8.79

29.

Dinner at the Olive Garden cost $52.37. You leave a 20% tip. What is the total cost?

a)

$72.37

b)

$10.47

c)

$62.84

d)

$41.90

30.

Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37,000 worth of items this month, what is her commission for the month?

a)

$14,800

b)

$5,180

c)

$629

d)

$6,290

31.
How much interest will Linda have to pay if she borrows $5,500 for 3 years at 4%?
a)
$66.00
b)
$6,600.00
c)
$66,000.00
d)
$660.00
32.
Mrs. Frost is a real estate agent.  She earns 6% commission on her sales plus $2,000 each month.  Last month her sales totaled $523,250.00.  How much did she earn last month?
a)
$31,395.00
b)
$33,395.00
c)
$313,950.00
d)
$333,950.00
33.

Change 3.2% into a decimal.

a)

32

b)

3.2

c)

.32

d)

.032

34.
(1 + 3) + 4 = 1 + ( 3 + 4)
a)
Commutative Property of Multiplication
b)
Commutative Property of Addition
c)
Associative Property of Multiplication
d)
Associative Property of Addition
35.
(2 + 3) + 4 = (3 + 2) + 4
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Commutative Property of Addition
d)
Associative Property of Addition
36.
5(8 + 7) = (5 x 8) + (5 x 7)
a)
Multiplicative Inverse
b)
Distributive Property
c)
Additive Identity 
d)
Associative Property of Multiplication
37.

47⋅74=1\frac{4}{7}\cdot\frac{7}{4}=1  

a)

Multiplicative Inverse Property

b)

Additive Inverse Property

c)

Multiplicative Identity Property

d)

Additive Identity Property

38.

. 

Johnathan bought a model car kit online. The price of the kit was $124.95. The state sales tax of 7% was added, and then a $10 charge for shipping was added after the sales tax. What was the total amount that Jabari paid, including tax and shipping?

a)

$8.75

b)

$143.70

c)

$141.95

39.

Julie works in a shoe store and is paid a 12% commission on her sales. In March, her sales total was $3,740. About how much did Julie earn in commission for March?

a)

$3,291

b)

$312

c)

$449

40.

The Campbell family went to dinner and the bill was $67.45.  Mr. Campbell wanted to leave an 18% tip for the waiter.  How much is the total bill?

a)

$121.41

b)

$79.59

c)

$12.14

41.

Mrs. Adele is buying a new tie from Macy's. It says the tie costs $15.00 but there is a sign above it that says 25% off. How much will the tie cost?

a)

$3.75

b)

$18.75

c)

$15.25

d)

$11.25

42.

If a population of a town increased from 5000 to 6000, what is the percent increase?

a)

50%

b)

20%

c)

10%

d)

30%

43.

If a car's original price was $20,000 and it is now being sold for $16,000, what is the percent decrease in the price?

a)

25%

b)

20%

c)

5%

d)

10%

44.

If a company's stock price decreased from $100 to $80, what is the percent decrease?

a)

20%

b)

30%

c)

10%

d)

50%

45.

If a restaurant's sales increased from $5000 to $6000, what is the percent increase in sales?

a)

10%

b)

20%

c)

100%

d)

50%

46.

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

a)

$160

b)

$800

c)

$80,000

d)

$16

47.

Scott took out a 72 month loan for $35,000 to purchase a new boat. If Scott paid $8,925 in simple interest, what was the interest rate?

a)

3.5%

b)

4.25%

c)

4.5%

d)

4.75%

e)

5.1%

48.

Jonah earned $150.36 in interest on an account that earns 1.4% simple interest. If Jonah opened the account 12 years ago, what was the principal amount?

a)

$850

b)

$868

c)

$880

d)

$895

e)

$902

49.

Veronica took out a 48 month loan of $5,500 to make some home improvements. At a simple interest rate of 3.25%, how much total will she pay?

a)

$ 6,740.25

b)

$ 6,215.00

c)

$ 6,393.75

d)

$ 6,575.50

e)

$ 6,036.25

50.
Which line has the greatest average rate of change on the graph? Why?
a)
Blue, it's average rate of change is $120 per month
b)
Red, it's average rate of change is $40 per month
c)
Blue, it's average rate of change is $160 per month
d)
Red, it's average rate of change is $80 per month
51.
a)
Function
b)
Not a Function
52.

What has the GREATER rate of change.

a)

y = 7x + 10

b)

Someone who starts with $6 and gets $8 each day.

c)

y = 5x + 20

d)

Someone who starts with $8 and gets $6 each day.

53.
Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?
a)
50
b)
125
54.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
55.

Write an equation in y = mx + b form of the line shown on the graph.

4 lines
56.

Who has a greater rate of change? (slope)

4 lines
57.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
58.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
59.

What is the slope of the line

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

60.

Find the slope of the table.

a)

5/2

b)

2/5

c)

-5/2

d)

-2/5

61.

What type of slope is Mario running in the picture?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

62.

What type of slope is shown by the stairs in the image?

a)

positive

b)

negative

c)

undefined

d)

zero

63.

What type of slope is shown in the image?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

64.

What type of slope is shown in the image?

a)

Negative

b)

Zero

c)

Undefined

d)

Positive

65.
What is the constant of proportionality? 
a)
45 mph
b)
90 mph
c)
135 mph
d)
2 mph
66.
Which of the tables above represents a proportional relationship?
a)
a & c
b)
a, b & c
c)
a, c & d
d)
all of them
67.

What is the constant of proportionality?

a)

2 swings / 1 day

b)

0.5 swings / 1 day

c)

4 swings / 1 day

d)

None of the above

68.

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality in dollars per hour? 

a)

$37 / hour

b)

$64.75 / hour

c)

$9.25 / hour

d)

$18.50 / hour

69.

Which is the best explanation of why this graph shows a non-proportional relationship?

a)

The line is not straight.

b)

The line does not touch the origin.

c)

The line is at the wrong angle.

d)

The graph shows a proportional relationship.

70.

What 2 things are required for a graph to be proportional?

a)

Must go through origin and can be a straight or curved line

b)

Must be a straight line but can go through any point

c)

Must be a straight line and go through the origin

d)

Does not have be a straight line and can go through any point

71.
a)

Proportional

b)

Non-proportional

72.

Which company shows a greater slope?

a)

Water's Edge Rafts

b)

Ryan's Rafts

73.

Which pizza place has the best starting salary?

a)

Bombino's

b)

Little Squeezers

c)

Pizza Tent

74.

How much will you pay Store A per week for a phone?

a)

$25

b)

$150

c)

$15

d)

$50

75.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
76.
a)
Function
b)
Not a function
77.
What is the Domain?
a)
-3 ≤ x < 5
b)
-3 ≤ y < 5
c)
-8 ≤ x < 5
d)
-8 ≤ y < 5
78.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

79.
What is the range of the graph?
Remember: Range is y! 
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
80.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
81.

Does the graph represent a function?

a)

Yes

b)

No

82.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section B?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking faster home.

d)

Timmy is dancing in the street.

83.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section C? Why is the distance from school decreasing?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking faster home.

d)

Timmy is dancing in the street.

84.
a)

Increasing

b)

Descreasing

c)

Constant

85.

Which intervals are linear?

a)

2 and 3

b)

4 and 6

86.

Which intervals are constant? (Show no increase or decrease)

a)

1 and 5

b)

2 and 3

c)

4 and 6

87.
a)

A train increases it's speed. It then travels at a constant speed.

b)

A train decreases it speed. It then travels at a constant speed.

c)

A train is going a constant speed. It then decreases it speed until it stops.

88.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
89.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

90.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
91.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
92.
A model is built to a scale of 1 ft ∶ 10 ft. If a model airplane is 3 feet long, how long is the actual plane?
a)
13 ft
b)
30 ft
c)
3 ⅓
93.

Which figure is a scaled copy of figure G?

a)
b)
c)
94.

Are these scaled copies? Is there a scale factor?

a)

Yes, they are scaled copies

b)

No, they are not scaled copies

c)

Yes, the scale factor is 1/3

d)

No, there is not a scale factor

95.

The area of a square is 64 sq ft. If a scaled copy of this square is made using a scale factor of 1/4, what is the area of the copy?

(Hint: you have to square the scale factor)

a)

16 sq ft

b)

4 sq ft

c)

8 sq ft

d)

32 sq ft

96.

Each side length of the rectangle at the right is multiplied by a scale factor of 4. What is the new area?

a)

1344

b)

84

c)

336

d)

152

97.

A scale factor of 2 is used to enlarge the dimensions of a square. What is the effect of this change on the area of the square?

a)

The area will be half as big.

b)

The area will be twice as large.

c)

The area will be 4 times larger.

d)

The area will be 8 times larger.

e)

The area will not change.

98.

Which Picture correctly shows corresponding points?

a)
b)
c)
99.

What is the length of the missing side on the small triangle?

a)

5

b)

7

c)

9

d)

11

100.

Figure B is a scaled copy of Figure A. Select all of the statements that must be true:

a)

Figure B is larger than Figure A.

b)

Figure B has the same number of edges as Figure A.

c)

Figure B has angles with the same measures as Figure A.

d)

Figure B has the same number of angles as Figure A.

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