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Math 6 Final Exam Review (Day 2)

Total questions: 55

Worksheet time: 5hrs 13mins

Name
Class
Date
1.
Solve for x
4x = 44
a)
x = 40
b)
x = 11
c)
x = 48
d)
x = 176
2.
Solve for x
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
3.
Translate 4 more than x equals 7 into an equation and solve. 
a)
x+4=7
x = 11
b)
x+4=7
x = 3
c)
x-4=7
x = 11
d)
x-4=7
x=3
4.
Solve for x
x + 40 = 56
a)
x = 16
b)
x = 96
c)
x = 15
d)
x = 10
5.
Solve for c
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
6.
Solve for x
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
7.
Solve for x
x / 2  - 5 = 3
a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
8.
Solve for p
6p - 5 =13
a)
12
b)
15
c)
3
d)
-3
9.
What are the LIKE terms in this expression?
3g + 7 + 9h + 2g
a)
3g, 7, 9h, 2g
b)
7, 2g
c)
3g, 2g
d)
7, 3g
10.
Simplify 
5r + 3s − 2r + 8.
a)
7r + 3s + 8
b)
10r + 8
c)
3r + 3s + 8
d)
8r - 2s + 8
11.
Simplify
2(x+3) + 1
a)
3x + 3
b)
2x + 7
c)
5x + 1
d)
6x + 1x
12.
Distribute and then Simplify
3(2x + 1) + 2(x - 4)
a)
8x-11
b)
8x+11
c)
8x+5
d)
8x-5
13.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
7x - 11
b)
7x + 11
c)
-3x + 11
d)
3x + 11
14.
Simplify:
2x - 5x + 6x + 7 + 14
a)
3x + 21
b)
3x + 22
c)
-3x + 21
d)
-3y + 22
15.
Tammy is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students

Which of the variables is independent?

a)
The number of treats is the independent variable.
b)
The number of students is the independent variable.
16.
Elise and Marta are going hiking and are trying to figure out how much water they should bring with them on the hike. The amount of water they should bring depends on how long they plan to hike.
w = the amount of water they should bring on the hike
t = the length of the hike

Which of the variables is dependent?
a)
The length of the hike is the dependent variable.
b)
 The amount of water they should bring is the dependent variable.
17.
A small apple orchard hires fruit pickers to harvest their crop. The number of apples harvested each day depends on the number of fruit pickers hired.
f = the number of fruit pickers hired
a = the number of apples harvested each day

Which of the variables is dependent?
a)
The number of fruit pickers hired is the dependent variable.
b)
The number of apples harvested each day is the dependent variable.
18.
A solar farm in California produces much of its output during the summer, when the sun is the most intense. The amount of power produced by a solar cell increases with the amount of sunlight it receives.
p = the amount of power produced
s = the amount of sunlight received

Which of the variables is independent?
a)
The amount of sunlight is the independent variable.
b)
The amount of power produced is the independent variable.
19.
Ying is mowing lawns to earn spending money over the summer. The more lawns he mows, the more money he will earn.
l = the number of lawns Ying mows
m = the amount of money Ying makes

Which of the variables is dependent
a)
The amount of money Ying makes is the dependent variable.
b)
The number of lawns Ying mows is the dependent variable.
20.
The senior class at Yardley High School is graduating. The duration of the graduation ceremony is dictated by how many students are receiving diplomas.
d = the duration of the graduation ceremony
s = the number of students receiving diplomas

Which of the variables is independent?
a)
The number of students receiving diplomas is the independent variable.
b)
The duration of the graduation ceremony is the independent variable.
21.
Every day at lunch, Belle swims laps in the pool for one hour. The number of laps she is able to swim in the hour depends on the speed at which she swims.
l = the number of laps Belle is able to swim in one hour
s = the speed at which Belle swims

Which of the variables is dependent?
a)
The number of laps Belle is able to swim in one hour is the dependent variable.
b)
The speed at which Belle swims is the dependent variable.
22.
Rafi is making goodie bags for his child's birthday party, and he is buying bottles of bubbles for the bags. The quantity of bubbles Rafi purchases will be determined by how many guests attend the party.
b = the number of bottles of bubbles Rafi purchases
g = the number of guests

Which of the variables is independent?
a)
The number of guests is the independent variable.
b)
The number of bottles of bubbles Rafi purchases is the independent variable.
23.
Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much tip are they leaving?
a)
29.90
b)
39.00
c)
4.00
d)
3.90
24.
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph end up paying for the computer?
a)
$40.50
b)
$715.50
c)
$6.00
d)
634.50
25.
Regular price: $174.
Discount: 40%.
Find the sale price. Round to nearest cent if necessary.
a)
$104.40
b)
$140.40
c)
104.4
d)
69.6
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
d)
All of your money
27.
A pair of jeans costs $34.00.  You have a coupon for 30% off the regular price. What is the new price of the jeans after you use your coupon?
a)
$10.20
b)
$23.80
c)
$31.00
d)
$44.20
28.
A sweater is priced at $45 but this already includes a 20% markdown. How much was the sweater originally priced?
a)
$225
b)
$450.80
c)
$54
d)
$81
29.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
30.
Find the total surface area of the figure.
a)
500 ft2
b)
515 ft2
c)
525 ft2
d)
510 ft2
31.
Find the total surface area of the figure
a)
200 sq. cm
b)
250 sq. cm
c)
216 sq. cm
d)
 222 sq. cm
32.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
33.
The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the surface area.
a)
300 inches
b)
200 inches
c)
275 inches
34.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
35.
Find the area
a)
41
b)
45
c)
44
d)
43
36.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
37.
Find the area:
a)
84 m2
b)
168 m2
c)
112 m2
d)
56 m2
38.
Evaluate for x=3
4(2x-3)2
a)
144
b)
36
c)
800
d)
24
39.
What is 10% of $250
a)
$2.50
b)
$25
c)
$250
d)
$2500
40.
What number is 60%of 25?
a)
1.5
b)
15
c)
13
d)
13.6
41.
Reduce 360 by 10%
a)
342
b)
324
c)
328
d)
300
42.
5% of x is 30, then x is 
a)
150
b)
160
c)
600
d)
60
43.
A St. Louis Cardinals hat costs $18.  If there is 8% sales tax, what is the total cost of the hat including tax?
a)
$1.44
b)
$22.74
c)
$21.36
d)
$19.44
44.
A shop has an offer of 15% off cameras. 
If a camera cost £90 before the offer, what is the discount price?
a)
£86.50
b)
£76.50
c)
£78.50
d)
£82.50
45.
At a restaurant you only have $20 to spend on dinner.
In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip.
What is the most expensive item you can order?
a)
$16.66
b)
$14.56
c)
$15.99
d)
$16
46.

Find the volume of the Compound Rectangular Prism.

a)

96 cm3

b)

168 cm3

c)

264 cm3

d)

273 cm3

47.
a)

410 cm3

b)

219 cm3

c)

435 cm3

d)

200 cm3

48.
a)

64 ft3

b)

76 ft3

c)

32 ft3

d)

12 ft3

49.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
50.
What is the area of the composite shape?
a)
50cm2
b)
25cm2
c)
40cm2
d)
35cm2
51.
What is the total volume of this figure?
a)
60
b)
100
c)
120
d)
300
52.
Is the number a solution to the inequality?
a)
Yes
b)
No
53.
Is the number a solution to the inequality?
a)
Yes
b)
No
54.
Write the inequality shown on the graph.
a)
x ≥ 2
b)
x > 2
c)
x ≤ 2
d)
x < 2
55.
If Jay is buying snacks for his class of 22 students, and he wants everyone to have 2 snacks, with as few snacks as possible leftover, which of these statements is correct?
a)
Jay should buy 3 boxes of 7 snacks.
b)
Jay should buy 4 boxes of 7 snacks.
c)
Jay should buy 6 boxes of 4 snacks
d)
Jay should buy 9 boxes of 5 snacks