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Worksheets

Fall Semester Final

Total questions: 78

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

Olivia orders 6 ham sandwiches at the deli. The total amount was $30.72. How much did each sandwich cost?

a)

$5.00

b)

$5.12

c)

$24.72

d)

$24.90

2.

Nate has 4 1/3 yards of fabric. He uses 2.5 yards of fabric to make a pillow. How much fabric does he have left?

a)

1 5/6

b)

6 5/6

c)

10 5/6

d)

1 11/15

3.

An electrician charges $50 for a house visit and $45 for each hour of work. If Mrs. Firewalks was charged $365.00 for work, how many hours did the electrician work?

a)

45h + 50 = 365

b)

50h + 45 = 365

c)

45h - 50 = 365

d)

50h - 45 = 365

4.

Jeb’s weight w is 1/4 of Iago’s weight a. Which equation could be used to find Jeb’s weight?

a)

w = ¼ + a

b)

w = ¼ a

c)

w = a + ¼

d)

w = a – 1/3

5.
Find the sum.
3 + (-7)
a)
4
b)
10
c)
-10
d)
-4
6.
Solve using order of operations. 
5 x (2 + 4) -5
a)
5
b)
9
c)
25
7.
Multiply
-5 x -4
a)
20
b)
-20
8.
What is the Greatest Common Factor of 15 and 12?
a)
1
b)
3
c)
5
d)
60
9.
Reduce the fraction to simplest form.
7/28
a)
7/28
b)
1/4
c)
1/7
10.
Add. 
3/11 + 3/4
a)
9/44
b)
1 and 1/44
c)
1 and 3/44
11.
Solve for x.
-3 + 4x = 25
a)
7
b)
5
12.
Solve the equation for x. 
5x + 4 = 36 - 3x
a)
3
b)
4
c)
1/4
13.

Solve the inequality.


4x + 6 < 18

a)

x < 3

b)

x > 3

c)

x < 8

d)

x > 8

14.

Use the Distributive Property to expand the expression below.


3(2c - 4)

a)

6c - 4

b)

5c - 4

c)

-6c

d)

6c - 12

15.

Which table shows a CROC of 20?

a)
b)
c)
d)
16.

The seven-member drum section needs to raise a total of $791.42 for percussion camp. If they had a car wash that netted $302.26, how much MORE does EACH band member still need to raise?

Be careful of decimal placement.

a)

$489.16

b)

$69.88

c)

$6.99

d)

$59.97

17.

Solve this inequality and determine the correct representation for the solution.

-x/4 - 17 < -19

a)
b)
c)
d)
18.

Jakiyah's uncle makes $8.26 an hour at Walmart. Which equation will help him determine his wages, w, if he worked h hours every week for 9 weeks?

a)

w = ($8.26h)(9h)

b)

w = 9($8.26h)

c)

w = ($8.26)(9 + h)

d)

w = 9($8.26 + h)

19.

Dixie is making cupcakes for a large group of students. The recipe calls for 2 tsp of vanilla for each batch of 36 cookies. If the only small liquid measuring utensil she can find is a metric syringe with ml marked on it, and she finds out online that each tsp is about 4.93 ml, about how many ml will each batch of cookies require?

a)

10 ml

b)

2.5 ml

c)

7.3 ml

d)

72 ml

20.

Berina buys 6 packages of cheese, which isn't taxed, and uses a $0.75 coupon for the entire purchase. She pays with a $20 bill. Her change is $4.49. What is the regular price of the block of cheese?

Answer using a grid. Watch your decimal placement.

a)
b)
c)
d)
21.

Which of the following situations can best represented by this equation?

y = 4x + 5

a)

Your awesome ELA teacher orders pizza for your class for $5 per pizza, with a $4 tip.

b)

You buy a lot of Takis for $4 per bag, plus $5 for cokes to wash them down.

c)

At the Christmas tree farm, you are charged $3 to ride the hay ride, and $8 for each ride you ride.

d)

You decide to invest in warm socks that cost $4 each for the first 4 pair, then $5 each for all you buy after that.

22.

What is the solution set for 16m - 43 < -33. Simplify properly.

a)

m > 4 7/16

b)

m = -4 3/4

c)

m < 4 3/4

d)

m < 5/8

23.
-32/8
a)
-4
b)
-5
c)
4
d)
24
24.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
25.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
8x + 6
d)
9 + 7x
26.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
a)
$6.28
b)
$33.59
c)
$21.03
27.
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
a)
40.50
b)
715.50
c)
6.00
d)
634.50
28.
What is 82% As a decimal?
a)
8200
b)
820
c)
0.082
d)
0.82
29.
What percent is 40 of 200?
a)
10
b)
30
c)
20
d)
40
30.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
31.

Which of the following in an equation?

a)

6x + 2x - 14

b)

6x + 10 = 4

c)

3x + 5c - 23

d)

10y - 6

32.

What is the definition of a variable?

a)

the number in front of a variable

b)

a number with no variable

c)

a letter that represents an unknown number

d)

the number used to raise to a power

33.

What is the definition of a constant?

a)

the number in front of a variable

b)

a number with no variable

c)

a letter that represents an unknown number

d)

the number used to raise to a power

34.

Which of the following is furthest to the left on the number line?

a)

-6.5

b)

-6

c)

-5

d)

6.7

35.

Integers only include all positive numbers and fractions.

a)

True

b)

False

36.

Rational numbers include integers, fractions, and terminating and repeating decimals.

a)

True

b)

False

37.

Change this improper fraction to a mixed number:


14/3

a)

3 5/3

b)

4 1/3

c)

4 2/3

d)

12

38.

What is the difference between an expression and an equation?

a)

an expression has variables

b)

an equation has an equal sign

c)

an expression has like terms

d)

they are the same

39.

Solve for x:


3x + 14 = 26

a)

x = 6

b)

x = 3

c)

x = 1

d)

x = 4

40.

Simplify the expression:


5(4x - 2)

a)

9x - 7

b)

20x - 10

c)

20x + 10

d)

9x - 10

41.

Simplify the expression:


-7(y - 5)

a)

7y - 35

b)

7y + 35

c)

-7y + 35

d)

-7y - 35

42.

Solve for x:


-3 + 4x = 25

a)

x = 7

b)

x = 5

c)

x = -7

d)

x = -5

43.

12 more than a number

a)

12 + n

b)

n - 12

c)

12 > n

d)

12 < n

44.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

a)

3 + 2x

b)

3x + 2

c)

3x + 2x

d)

5x

45.

Your class won the donut party and when Ms. Byrd went to pick up the donuts she was happy to find out they gave her an educator discount of $3. Ms. Byrd spent $34.50 for donuts for your class of 25 students. How much was each donut?

a)

$2

b)

$1

c)

$1.50

d)

$2.50

46.

If ChipCo sold their bags of corn chips for $5 per bag plus $1 for bagging it and it costs the same as $4 per bag of CrunchyChips corn chips plus their price of $2 for bagging it, what would the equation be and how many bags of chips would make them cost the same?

a)

5 + 1x = 2x + 4; 1 bag of chips

b)

9x = 3; 3 bags of chips

c)

5x + 1 = 4x + 2; 1 bag of chips

d)

5x = 6x; -1 bag of chips

47.

What is the answer? 3 ( x - 2 )

a)

3x - 2

b)

3x - 2x

c)

3 - 2x

d)

3x - 6

48.

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

a)

3(x + 5) = 17

b)

3x + 5 = 17

c)

5(x + 3) = 17

d)

5x + 3 = 17

49.

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

a)

7 + 9x = 30

b)

30 = x - 7 - 9

c)

30/x = 9-7

d)

x - 30 = 7(9)

50.
Does the table represent a proportional relationship?
a)
yes
b)
no
51.
Does the table represent a proportional relationship?
a)
yes
b)
no
52.
Does the graph represent a proportional relationship?
a)
yes
b)
no
53.
Does the graph represent a proportional relationship?
a)
yes
b)
no
54.
Which equation represents a proportional relationship?
a)
y = x + 3
b)
y = x - 9
c)
y = 7x
d)
y = 4x + 1
55.
Which equation DOES NOT represent a proportional relationship?
a)
y = 11x
b)
y = x/4
c)
y = 1/2 x
d)
y = x + 3
56.
Which line shows a proportional relationship between x and y?
a)
Line L
b)
Line M
57.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
58.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
59.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
60.
What makes a graph proportional?
a)
Straight Line
b)
The line goes through (0,0)
c)
Curvy line
d)
Straight line and passes through (0,0)
61.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
62.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
63.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
64.
On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. Based on this information, which statement is true?
a)
His rate on Saturday was 2 miles per hour slower than his rate on Sunday.
b)
His rate on Sunday was 2 miles per hour slower than his rate on Saturday.
c)
His rate on Saturday was the same as his rate on Sunday.
d)
His rate on Sunday was 2 miles per hour faster than his rate on Saturday.
65.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
66.
Find the Unit Rate.
405 rotations in 5 minutes   
a)
81 rotations per minute
b)
73 rotations per minute
c)
18 rotations per minute
d)
810 rotations in 10 minutes
67.
REVIEW QUESTION
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
both
d)
neither
68.
Which of these describes the unit rate?
a)
a unit of measure
b)
a fraction with a numerator of one
c)
a fraction with a denominator of one
d)
a proportion
69.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
70.

The (a)   is the point at which the line crosses the y-axix.

71.

Tim paid $50 to join the local gym. He then pays $10 a month to work out. Which equation shows this relationship?

a)

y = 10x + 50

b)

y = 50x + 10

c)

y = 10 + 50

d)

y = 10x

72.

Rob paid $1,000 to go on a cruise. He then paid $50 each for the on-shore activities. What would be the total cost if Rob does 3 activities during his cruise?

a)

$3,050

b)

$3,000

c)

$150

d)

$1,150

73.

What type of slope is this?

a)

positive

b)

negative

c)

zero slope

d)

undefined

74.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
75.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
76.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
77.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

78.
Find the rate of change
a)
3
b)
-3
c)
-1/3
d)
1/3