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WorksheetsGMAS Review 7th Grade
Total questions: 200
Worksheet time: 17hrs 40mins
When adding integers with the same sign you ________________.
Subtract and keep the sign of the larger number.
Add and keep the sign.
A positive PLUS a positive will give you what on your final answer.
Positive
Negative
A negative PLUS a negative will give you what on your final answer.
Positive
Negative
-6 + 4 =
-2
2
10
-10
-7 - 2 =
-2 + 4 =
-5 − (-7)
-12
12
2
-2
A positive MULTIPLIED/DIVIDED by a positive will give you what answer?
Positive
Negative
A negative MULTIPLIED/DIVIDED by a negative will give you what answer?
Positive
Negative
A positive MULTIPLIED/DIVIDED by a negative will give you what answer?
Positive
Negative
5 x ( -3) =
2(5 + (-2)) =
-15
15
6
-6
(-5)(3)(-1)(2) =
30
-30
15
-15
7 − (−25)
18
-18
32
-32
Which of the following expressions has the greatest value?
-7 + (-3)
11 − (-5)
-9 + 5
12 − 6
Any integer divided by zero such as 010 is always _____
zero
natural number
integer
undefined
20(−10+10)
-1
0
1
10
Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.
g+29
g-29
29g
g ÷ 29
A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?
40 - 35m
40m - 35
40m + 35
40 + 35
You and four friends plan a surprise party. Each of you contributes the same amount of money m for food. What is the algebraic expression for the total amount of money contributed for food?
5m
4 + m
5 / m
4m
Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.
35 - b
b
35
b + 35
Which expression matches: the product of nine and a number
9 + x
9x
9 ÷ x
9 - x
A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?
8h - 20
8h + 20
8 + 20
8 - 20h
Your mom wins $100 on a scratch-off ticket. She wants to split it between you and your sisters. How much will each of you receive if there are c children?
100 - c
100 + c
100 ÷ c
100c
Tracy has 16 oatmeal cookies. She splits them evenly among b bags. Choose the expression that shows how many cookies are in each bag.
b – 16
16
16b
16 ÷ b
Write an expression for the situation.
-6x = 30
x = - 5
x = 24
x = 5
x = 36
−8t= −5
t = 3
t = -40
t = -3
t = 40
Solve the following equation
2y = 18
y = 36
y = 16
y = 9
y = 20
-5x = 25
Solve for x.
x - 8 = -5
x = 13
x = -13
x = 3
x = -3
8 = x + 1
x + 7 = 12
Solve
-124 = 4 (1+ 8k)
-11
10
-4
-2
When you graph an inequality, you used a closed dot when you use which symbols?
≤, ≥
<, >
When graphing an inequality, you use an open dot when you use which symbol?
<, >
≤, ≥
Match the graph with its inequality.
11 < a
11 > a
11 ≤ a
11 ≥ a
10 ≥ x - 3
x ≤ 13
x ≥ 13
x ≤ 7
x ≥ 7
8x ≥ -32
x ≥ -4
x ≥ 4
x ≤ -4
x ≥ 4
4x - 2 ≤ -22
x ≥ -5
x ≥ -6
x ≤ -6
x ≤ -5
s + 9 ≥ -25
s ≥ -18
s ≥ -34
s ≤ 18
s ≥ 34
6 - 2h > 30
h < 24
18 > h
h > 12
h < -12
Match the graph with its inequality.
11 < a
11 > a
11 ≤ a
11 ≥ a
A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?
3 : 2
3 to 2
6 : 4
2 : 3
Which sentence accurately represents the following ratio:
The ratio of moons to suns is 4 to 8
There are 4 moons for every 8 suns
There are 4 moons for every 2 suns
The ratio of suns to moons is 2:1
Which ratio is equivalent to 5 to 4
4 to 5
10 to 12
25 to 20
15 to 8
Select ALL the ratios that are equivalent to 16 : 6
3 to 8
32 : 12
4 to 2
8 to 3
Typically on a baseball team, there are 14 position players and 12 pitchers. What is the ratio of pitchers to position players.
Select all ratios that could be written for the situation (some may be simplified).
12:14
14 to 12
12/14
6 to 7
7:6
In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4. If I have a 15 blue jolly ranchers, how many are red jolly ranchers are there in the bag?
(a)
Are these ratios equivalent?
32 and 98yes
no
What value is missing from the top right corner of the ratio table?
12
11
10
9
John runs 18 miles in 6 hours. At this rate, how many miles can John run in one hour
3
5
2
4
John drives 54 miles in 9 days. What is his unit rate?
5 mi/ 1 day
4 mi/ 1 day
6 mi/ 1 day
9 mi/ 1 day
Tyler is trying out for cross-country. He currently runs 12 miles in 3 hours. The coach needs runners who can run 5mi per hour or less. Does he make it? Why?
No, he runs 3 mi per hour.
Yes, he runs 4 mi per hour.
No, he runs 4 mi per hour.
Yes, he runs 3 mi per hour.
Shane is driving 36 mi in 3 hours. What is his speed
6 mi/hour
9 mi/hour
12 mi/hour
16 mi/hour
24 mi : 2 hours
? mi : 1 hour
(a)
A unit rate is a rate in which the unit in the denominator is:
0
3
1
2
Do the following ratios form a proportion?
10/16 and 18/28
Yes, because they have the same numerators.
No, because they do not have the same denominator.
Yes, because they are the same when reduced to their lowest form.
No, because they are not the same fractions.
Which graph shows only a direct variation between x and y?
Which of the following shows a true proportion?
5/7 = 7/5
5/7 = 25/49
5/7 = 7/9
5/7 = 15/21
Which graph shows a proportional relationship?
Which table represents a direct variation between x and y?
What will be the area of the scale drawing?
What is 12% of 40?
5
4.8
4
12
75% of what number is 48?
48
100
64
75
What is 19% of 50?
9.5
10
15
11
The bill amount is $6.68.
What would the tip be if you left 23%?
$4.22
$5.91
$1.54
$0.52
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent change rounded to the nearest percent?
24%
20%
11%
50%
The Game Stop is having a sale on an originally $60.64 game. It is on sale for $29.99. What is the percent change?
50.5% Decrease
50.5% Increase
505% Decrease
505% Increase
Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.
$160
$800
$80,000
$16
What type of pair are x and the angle that measures 148° have?
Supplementary
Complementary
Adjacent
Vertical
Which equation would help find the measure of ∠x ?
94+x=117
117+x =94
117+94=x
What is the measure of angle x?
117
94
23
The measure of ∠BAD = 110°. What is the measure of ∠CAD?
82o
90o
72o
62o
Which are pairs of vertical angles? Select all that apply.
∠COB & ∠COA
∠AOD & ∠AOC
∠COB & ∠AOD
∠BOD & ∠AOD
∠DOB & ∠COA
What angle pair is pictured?
Alternate Interior Angles
Supplementary Angles
Vertical Angles
Complementary Angles
Find the missing angle.
53
67
77
43
Find the missing angle.
28
32
60
38
Find the circumference with a diameter of 18.4 km. Use 3.14 for pi.
23.7 km
57.8 km
19.3 km
59.1 km
Find the circumference with a radius of 5.8 cm. Use 3.14 for pi.
37 cm
38.3 cm
36.4 cm
42.7 cm
Find the circumference with a diameter of 6.8 m. Use 3.14 for pi.
22.7 m
31.5 m
21.4 m
25.8 m
Find the circumference with the a radius of 8 cm. Use 3.14 for pi.
51.8 cm
22.2 cm
17.8 cm
50.2 cm
What is the area of the Base?
18 cm2
28 cm2
8 cm2
14 cm2
What is the area of the
Base?
44 cm2
66 cm2
6 cm2
12 cm2
What is the total surface area of the prism?
100 cm2
88 cm2
148 cm2
108 cm2
What is the total surface area of the prism?
161 ft2
136 ft2
186 ft2
171 ft2
Find the total Surface Area of the cylinder. Round to the nearest tenth.
3015.9 cm2
1155.5 cm2
578.1 cm2
779.1 cm2
If you flip a penny, how many possible results are there?
1
1,2
2
heads, tails
Possible results of an experiment are called . . .
outcomes
trials
likelihoods
favorable answers
In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 5. What are the possible outcomes?
1
1,2,3,4,5
5
In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 9. What are the favorable outcomes of choosing an even number?
4
1,3,5,7
2,4,6,8
9
You roll a die. What are the favorable outcomes of rolling a number divisible by 5?
1,5
1,2,3,4,5,6
4,5,6
5
You roll a die. What are the favorable outcomes of rolling a number less than 5?
1,2,3
1,2,3,4
5,6,7
5,6
A small pack of Skittles contains 1 yellow, 3 red, 2 green and 3 orange. What are the possible outcomes?
yellow, red, green, orange
red, red, red
yellow, red, red, red, green, green, orange, orange, orange
green
If you flipped a coin 100 times, how many times would you expect to flip heads?
20
100
25
50
A small pack of Skittles contains 1 yellow, 3 red, 2 green and 3 orange. What are the favorable outcomes of NOT getting orange?
yellow, red, green
orange, orange, orange
yellow, red, red, red, green, green
yellow, red, red, red, green, green, orange, orange, orange
You have the following scrabble tiles. How many favorable outcomes are there of using a vowel?
2
1
0
You have the following Scrabble tiles. How many favorable outcomes are there of using an L?
0
1
2
We spin the wheel once to find who sits in the front seat. What are the possible outcomes?
Cole, Brody, Taylor, Maddie, Serenity, Kandace
Brody, Maddie, Taylor
Cole, Brody
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
What is the probability of spinning an even number?
25%
33%
50%
75%
What is the probability of spinning the spinner and landing on and A? (Remember to simplify your answer)
1/8
3/4
3/8
1/4
What is the probability of spinning a yellow, green, or blue?
3/4
1/12
1/3
1/16
A box has 3 limes, 5 grapes, and 2 oranges. What is the probability of reaching into the box and choosing a fruit that is NOT lime?
P (NOT lime)
3/10
30%
7/10
Answer Not Here
What is the probability of spinning the spinner and landing on blue?
3/8
1/8
3/4
1/4
What is the probability of flipping this quarter and landing on tails?
1/4
1/3
1/2
2/3
Look at the set of blocks. What is the probability of choosing a red block? (simplify your answer)
P(red) =
1/5
2/7
1/6
1/12
The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?
The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?
Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process 44 times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?
A bag has 4 green marbles, 3 red, 2 blue and 1 yellow. What is the theoretical probability of pulling a red?
3/10
3/6
1/9
1/3
Jason rolls a die 14 times. What is the Experimental probability that he will roll a 2 ?
2/6
3/6
3/14
1/6
Jason rolls a die 14 times.. What is the Experimental probability that he will roll a 1 or 6?
2/6
6/12
6/14
7/14
An environmental advocacy group wants to know how residents intend to vote on a proposal to reduce bus service to certain neighborhoods in the city. They decide to conduct a survey.
Which describes a representative sample of the population for the situation?
a randomly selected group of members at a local gardening club
a randomly selected group of residents from the city’s voter registration records
a randomly selected group of workers at a factory that employs a large percentage of the city
a randomly selected group of residents in the neighborhoods affected by the proposal
The counselors at a camp are scheduling activities for family visitation day. They decide to conduct a survey to determine which activities campers would most like to share with their families.
Which describes a method for getting a sample that is both representative and random?
During the dinner hour, announce that any camper interested in doing so can collect and complete a survey.
During camp free time, ask every fifth camper in the arts and crafts hall to complete a survey.
During morning roll call, ask every tenth camper to complete a survey.
During camp free time, ask all campers down at the lake to complete a survey.
_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.
Sample
Population
Random Sample
Quartile
A mayor wanted to see if the people in his town thought he was doing a good job. Which choice best represents a sample?
1,000 unemployed voters.
The mayor's family.
The residents of the town.
242 voters.
Select all the reasons why random samples are preferred over other methods of getting a sample.
If you select a random sample, you can determine how many people you want in the sample.
A random sample is always the easiest way to select a sample from a population.
A random sample is likely to give you a sample that is representative of the population.
A random sample is a fair way to select a sample, because each person in the population has an equal chance of being selected.
Determine the mean of the following numbers:
28, 40, 53, 39, 45
45
40
41
39
Determine the median of the following numbers:
40, 49, 62, 56, 68, 39, 50, 61, 54, 44
52
68
38
56
The following list has a mean of 24. What would be the new mean if 17 was added to the list?
12, 30, 19, 27, 21, 35
17
32
25
23
Find the median of the table.
24
22
26
20
A sixth number will be added to the list. What must it be in order for the mean to be 12?
7, 16, 11, 12, 10, ______
16
7
11
12
The following list has a median of 43. What would be the new median if 21 was added to the list?
31, 48, 50, 23, 28, 52, 57, 38, 56, 27
27
52
45
38
Find the mean of the table.
13
15
12.5
7.5
Determine the mean of the following numbers:
28, 40, 53, 39, 45
45
40
41
39
