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WorksheetsNJSLA - Full Review
Total questions: 130
Worksheet time: 5hrs 58mins
Name
Class
Date
1.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
2.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
3.
Solve for x
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
4.
Solve for x
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
5.
A bird flies 35 meters in 10 seconds. If it keeps flying at the same rate, how long will it take it to fly 14 more meters?
a)
x = 49 seconds
b)
x = 4 meters
c)
x = 49 meters
d)
x = 4 seconds
6.
12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
7.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
8.
Natalie was planning a trip to Jordan. Before going, she did some research and learned that the exchange rate is $4 for 3 Dinars. How many Dinars would she get if she exchanged $56?
a)
37 Dinars
b)
42 Dinars
c)
33 Dinars
d)
75 Dinars
9.
It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?
a)
3
b)
6
c)
9
d)
12
10.
The park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond?
a)
400
b)
425
c)
225
d)
525
11.
What is 12% of 40?
a)
5
b)
4.8
c)
4
d)
12
12.
What is 19% of 50?
a)
9.5
b)
10
c)
15
d)
11
13.
75% of what number is 48?
a)
48
b)
100
c)
64
d)
75
14.
120% of what number is 72?
a)
120
b)
60
c)
75
d)
100
15.
What is 87% of 55?
a)
47.85
b)
46.52
c)
87.5
d)
55.8
16.
Compare using < or > or =
80% of 60 _____ 60% of 80
80% of 60 _____ 60% of 80
a)
>
b)
<
c)
=
17.
Compare using < or > or =
20% of 30 ____ 30% of 40
20% of 30 ____ 30% of 40
a)
>
b)
<
c)
=
18.
A garden has 10 tulips, 4 rose bushes and 6 sunflowers. What percent of the garden is tulips?
a)
10%
b)
20%
c)
100%
d)
50%
19.
What is 150% of $20?
a)
$20
b)
$30
c)
$40
d)
$150
20.
Convert the following fraction into a decimal.
24/48
24/48
a)
24.48
b)
2.4
c)
0.5
d)
2.0
21.
Simplify this expression:
-7w + (-6) + 5 + (-9w)
a)
-2w - 1
b)
-16w - 11
c)
-16w - 1
d)
-2w + 11
22.
Find the simplified equivalent expression:
2.1 - 3.7c + 1.9c - 1.4
a)
1.8c + 0.7
b)
3.5 - 5.6c
c)
4.9c
d)
0.7 - 1.8c
23.
Simplify this expression:
4.6x - 5.3x + 10.2y + 9 - 7.6
a)
0.7x + 10.2y +16.6
b)
-9.9x + (-10.2y) + 1.4
c)
-0.7x +10.2y 16.6
d)
-0.7x + 10.2y + 1.4
24.
Carol factored 28x + 16xy as 4(7x + 4xy). Is she correct? Explain.
a)
Yes, 4 is the GCF.
b)
No, 8 is the GCF.
c)
No, 4x is the GCF.
d)
No, 4xy is the GCF.
25.
Factor the expression:
-15x - 35xy
a)
5( -3x + 7xy)
b)
15( -x - 3y)
c)
-5x(3 + 7y)
d)
5x(3x + 7y)
26.
Nine more than a number
a)
9x
b)
9 - x
c)
9 + x
d)
9 + 9
27.
The difference of five and a number
a)
5 - m
b)
5/m
c)
5 + m
d)
5 - 5
28.
seven divided by a number
a)
7/n
b)
n/7
c)
49/7
d)
n/n
29.
The product of a number and twelve
a)
x/12
b)
x - 12
c)
12 + x
d)
12x
30.
A number increased by five.
a)
5x
b)
x + 5
c)
x + x + x + x + x
d)
5 + 5
31.
Eleven less than three times a number
a)
11x - 3
b)
3 - 11x
c)
11 - 3x
d)
3x - 11
32.
Factor 12x - 20
a)
6(2x - 3)
b)
4(3x - 5)
c)
4x(3x - 5)
d)
3(4x + 6)
33.
Factor completely: 6x + -3
a)
3(2x + -1)
b)
-2 + -1 + 6 + x
c)
6( -2 + x )
d)
3 ( 1 + 2x)
34.
Factor:
12x + 9
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
35.
Factor Completely:
10 + 15p
10 + 15p
a)
5(3+p)
b)
5(2+3n)
c)
5(2+3p)
36.
Factor:
4x + 30
a)
2(2x + 30)
b)
4(x + 15)
c)
2(2x + 15)
d)
can't be factored
37.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
38.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
39.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
40.
3 + (1∕4)a = 31
a)
a= 28
b)
a= 112
c)
a= 7
d)
a= 67
41.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
42.
-5 - 6a = -59
a)
a= 11
b)
a= -6
c)
a= 9
d)
a= 2
43.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.
a)
h = 2(9) + 15
b)
33 = 15h + 2
c)
h = 15(9) + 2
d)
33 = 2h + 15
44.
Eight less than 7 times a number is the same as 4 more than 3 times the number
a)
x + 3 = x
b)
8 = x + 4 + 3
c)
8 - 7x = 4 + 3x
d)
7x - 8 = 3x + 4
45.
A car travels 50 miles in 40 minutes.
How many miles does the car travel in 20 minutes?
How many miles does the car travel in 20 minutes?
a)
25 miles
b)
60 miles
c)
1.25 miles
d)
70 miles
46.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?
a)
$0.08
b)
$25
c)
$12
d)
$12.50
47.
Find the unit rate of 216 apples growing on 9 trees
a)
1 apple on 24 trees
b)
24 apples on 24 trees
c)
216 apples on 1 tree
d)
24 apples on 1 tree
48.
In a smoothie recipe, the ratio of orange juice to banana puree is 2 cups to 1 cup. if you were making 36 cups of smoothie to share, how many cups of banana puree would you need?
a)
12 cups
b)
18 cups
c)
24 cups
d)
36 cups
49.
Which is the faster runner?
12 laps in 8 minutes or
15 laps in 9 minutes
12 laps in 8 minutes or
15 laps in 9 minutes
a)
15 laps- 9 min (1.5 lap per min)
b)
12 laps -8 min. (1.5 lap per min)
c)
15 laps - 9 min (1.67 lap per min)
d)
12 laps - 8 min (1.67 lap per min)
50.
Which is a better buy?
2 books for $15 or
6 books for $45
2 books for $15 or
6 books for $45
a)
2 books for $15
b)
6 books for $45
c)
8 books for $60
d)
They are the same.
51.
Charles can type 675 words in 9 minutes. How many words can he type per minute?
a)
75 words per minute
b)
6075 words per minute
c)
86 words per minute
d)
75 minutes per word
52.
A unit rate is a ratio in fraction form that has a _____________________________ of 1.
a)
numerator
b)
bottom number
c)
fraction
d)
denominator
53.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
54.
Which is the better buy?
a)
A 4 pack of t-shirts for $2.24
b)
A 6-pack of t-shirts for $3.12
c)
An 8 pack of t-shirts for $4.24
55.
Doritos $4.39 for 11.5 oz.
or
Cheetos $2.24 for 9.75 oz.
Find the unit price of each and choose the better deal.
or
Cheetos $2.24 for 9.75 oz.
Find the unit price of each and choose the better deal.
a)
Doritos
b)
Cheetos
56.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm
57.
What is the area of this figure?
a)
40 square units
b)
40 units
c)
40
58.
Which expression could be used to find the approximate circumference of this quilt piece?
a)
3.14(32)
b)
3.14(16)
c)
3.14(8)
d)
3.14(4)
59.
What is the diameter?
a)
6.5
b)
15
c)
24.84
d)
78
60.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
a)
56.25 ft
b)
246 ft
c)
365 ft
d)
393 ft
61.
A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once?
a)
84.78
b)
15.5
c)
27
d)
13
62.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
63.
The London Eye has a diameter of 120 meters. If you are sitting in one of the capsules, about how far do you travel in one rotation of the Ferris wheel?
a)
180 meters
b)
380 meters
c)
11,300 meters
d)
125 meters
64.
What is the area of this rectangle?
a)
40 square centimeters
b)
28 centimeters
c)
16 square centimeters
d)
100 square centimeters
65.
Find the area of this triangle.
a)
20 cm2
b)
35 cm2
c)
40 cm2
d)
12.5 cm2
66.
Area of triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
67.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
68.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
69.
How do you find the AREA of a TRIANGLE?
a)
Length x Width
b)
1/2 (Length x width)
c)
1/3 (Length x width)
d)
Base x Height
70.
Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.
a)
18
b)
36
c)
72
d)
40
71.
Find the area of a trapezoid with bases of 6 feet and 10 feet, and with a height of 6 feet?
a)
60
b)
36
c)
32
d)
48
72.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
73.
What is the area of the shaded region?
a)
19.8 cm2
b)
25.16 cm2
c)
32.6 cm2
d)
14.96 cm2
74.
Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?
a)
13,600 ft²
b)
18,400 ft²
c)
16,000 ft²
d)
2,400 ft²
75.
The arrow shown is on a sign. What is the area of the arrow?
a)
17 in2
b)
40 in2
c)
52 in2
d)
61 in2
76.
Find the area of the shaded region:
a)
350 cm2
b)
137.5 cm2
c)
212.5 cm2
d)
484.2 cm2
77.
Find the area of the figure:
a)
276 cm2
b)
114 cm2
c)
247 cm2
d)
390 cm2
78.
Find the area of the composite figure
a)
3 ft2
b)
51.5 ft2
c)
32 ft2
d)
44 ft2
79.
Find the area of the composite figure.
a)
100
b)
400
c)
137.5
d)
175
80.
Find the area of the shape
a)
16.56 sq in
b)
7.14 sq in
c)
10.28 sq in
81.
Solve.
a)
386.97 cm2
b)
122.5 cm2
c)
50.3 cm2
d)
102.4 cm2
82.
What is the area of the shaded region?
a)
625
b)
134.375
c)
490.87
d)
228.4
83.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
84.
a)
24,200 in³
b)
48,400 in³
c)
242 in³
d)
495 in³
85.
a)
40 cm³
b)
11 cm
20 cm²
20 cm²
c)
20 cm³
d)
30 cm³
86.
Roy buys a triangular shaped fish tank to put in the corner of his room. The height of the fish tank is 4 feet. The base of the fish tank is 2 feet, with a height of 2 feet. He needs to know the volume of the tank to determine how many fish he can buy.
a)
16 ft³
b)
4 ft³
c)
10 ft³
d)
8 ft³
87.
If a rectangular prism has a base that is 5 inches by 6 inches and height of 13 inches, what is the volume?
a)
24 in³
b)
390 in³
c)
143 in³
d)
24 in²
88.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
89.
What is the total surface area of the triangular prism shown?
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
90.
What is the surface area?
a)
228 ft2
b)
216 ft2
c)
144 ft2
d)
324 ft2
91.
Paige is sewing a tent. If the material cost $0.04 per square in, determine how much it will cost her to make the tent.
a)
$480
b)
$560
c)
$640
d)
$736
92.
x is less than 9
a)
x < 9
b)
x > 9
c)
x ≥ 9
d)
x ≤ 9
93.
a)
A
b)
B
c)
C
d)
D
94.
a)
A
b)
B
c)
C
d)
D
95.
What does the number line show?
a)
x = 3
b)
x > 3
c)
x < 3
d)
x > 6
96.
The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?
a)
50 + 3.5x < 71
b)
71 - 3.5x < 50
c)
71 - 3.5x ≤ 50
d)
71 + 3.5x < 50
97.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
98.
The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?
a)
300x + 10 ≥ 2000
b)
10x + 300 ≤ 2000
c)
10x + 300 > 2000
d)
300 + 10x ≥ 2000
99.
Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.
a)
14≥2n+3
b)
2+3n≤14
c)
14-3n≤2
100.
There were no more than 7 players left over after 127 soccer players in a league were divided into 5 teams with b players on each team. Write an inequality that can be used to find b, the number of players on each soccer team.
a)
127⁄5b≥ 7
b)
127+5b≤ 7
c)
7 ≥ 127-5b
d)
7 ≥ 127+5⁄b
101.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
15 + 6x ≤ 100?
a)
Lazer
Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend,
how many people can Andrea invite to play laser tag?
b)
Lazer
Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend,
how many people can Andrea invite to play laser tag?
c)
Lazer
Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend,
how many people can Andrea invite to play laser tag?
d)
Lazer
Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend,
how many people can Andrea invite to play laser tag?
102.
Solve for t.
6t + 4 ≤ -2
6t + 4 ≤ -2
a)
t ≤ -1
b)
t ≤ 1
c)
t=1
d)
1=t
103.
Solve for k.
7k – 2 ≥ -9
7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
104.
-3y + 2 > 11
a)
y < -3
b)
y > -3
c)
y < 3
d)
y > 3
105.
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
a)
20x + 120 ≥ 3
b)
x/3 + 20 ≤ 120
c)
3x + 20 ≤ 120
d)
3x + 20 ≥ 120
106.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
107.
5z - 2 - 2z < 13
a)
z > 5
b)
z < 5
c)
z > 1
d)
z < 1
108.
-2x + 5 > 15
a)
x > -5
b)
x < -5
c)
x = 5
d)
x is greater than or equal to -5
109.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
110.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
111.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
112.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
113.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
114.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
115.
Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?
a)
23
b)
840
c)
42
d)
3,628,800
116.
7P2
a)
0
b)
7
c)
42
d)
210
117.
Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
a)
1
b)
3628800
c)
100
d)
1814400
118.
The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?
a)
3 x 14 = 42
b)
3 + 14 = 17
c)
14 x 14 x 14 = 2744
d)
14 x 13 x 12 = 2184
119.
In how many ways can the first five letters of the alphabet be arranged if each letter is used only once?
a)
5 x 4 x 3 x 2 x 1 = 120
b)
5 x 5 x 5 x 5 x 5 = 3125
c)
26 x 26 x 26 x 26 x 26 = 11881376
d)
5 + 5 + 5 + 5 + 5 = 25
120.
The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?
a)
4 x 4 x 4 x 4 = 256
b)
4 x 3 x 2 x 1 = 24
c)
4 + 4 + 4 + 4 = 16
d)
4 + 3 + 2 + 1 = 10
121.
In how many different ways can 4 different books be arranged on the shelf?
a)
4 x 3 x 2 x 1 = 24
b)
4 x 4 x 4 x 4 = 256
c)
4 + 3 + 2 + 1 = 10
d)
4 + 4 + 4 + 4 = 16
122.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
123.
Experimental Probability is:
a)
What Will happen
b)
What actually happens
c)
What should happen
d)
What I think Happens
124.
Which graph shows a proportional relationship between x and y?
a)
A
b)
B
c)
C
d)
D
125.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
126.
The rate is given as a percent (%). Before using it in the simple interest formula, you must first convert it to a______.
a)
fraction
b)
decimal
c)
ratio
d)
dollar amount
127.
Alexton the Skeleton borrowed $4,000 for 5 years at 6% simple interest rate to pay for his band equipment. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
128.
Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
129.
Principal = $1500
Interest earned = $60
Time = 12 months
Find the interest rate.
a)
40%
b)
4%
c)
0.4%
d)
8%
130.
Principal = $500
Interest earned in 4 years = $60.
Find the interest rate.
Interest earned in 4 years = $60.
Find the interest rate.
a)
1%
b)
2%
c)
3%
d)
4%
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