WorksheetsJacobs' 7th grade math review
Total questions: 213
Worksheet time: 19hrs 58mins
What is the definition of a variable?
A letter or symbol that represents an unknown quantity
The little number or letter used to raise to a power
The number in front of a variable
The number with no variable
What is the absolute value?
The opposite of a number.
The number that when added together equals 0.
The distance a number is from zero.
The number that when added together equals 1.
Congruent means
double or twice
added together
same or equal
The distance around a circle.
Area of a circle
Circumference
Volume
Surface Area
A line segment with one endpoint at the center of a circle and the other endpoint on the circle, or the length of that segment.
Circumference
Diameter
Radius
Area
A drawing of a shape that is proportional to another is called:
Scale Drawing
Angle
Degree
Polygon
-7(6 + d) = 49
5x + 7 = 12
A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?
1/5
5/6
1/6
6/5
A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?
1/8
1/2
1
3/8
A box contains 4 red pencils, 6 blue pencils, 5 black pencils, and 3 green pencils. The best description of the likelihood of selecting a blue pencil at random from the box is (a) .
Joseph rolled a number cube 50 times. The table shows the cumulative results of each roll. What is the relative frequency of rolling a 4? Select all that apply.
0.18
509
67.7%
64
18%
Write 33% as a fraction in simplest form.
33/100
16/50
17/50
3/10
What is 90% as a decimal?
.85
.9
.09
1.3
Percents are always out of?
100
10
1
1000
How is Figure F reduced to Figure B?
Multiply each side by 1/2
Multiply each side by 1/3
Multiply each side by 1/4
Multiply each side by 1/5
Match the graph with its inequality.
a > 11
a < 11
a ≥ 11
a ≤ 11
6 > x
x + 5 ≤ 13
Janet is writing a book. She writes 3 pages every 2 days. If she continues at the same pace, how long will it take her to write a 400-page book?
Which proportion could be used to solve this problem?
x3=2400
400x=23
2x = 4003
23=x400
Marc bought a house for x dollars. Ten years later the house was worth 1.18x dollars. Which is another way to describe the change in the value of Marc's house?
118% increase
1.18 % increase
18% increase
0.18% increase
24
Sue invested $1,000 at 6% interest for 3 years. How much money will she have in total at the end of 3 years?
Which one of the graphs shown represents a proportional relationship?
The regular price of a pair of jeans is $60. The jeans are on sale for 25% off. What is the sale price of the jeans?
What is the better deal:
2 ice creams for .95 or 9 ice creams for $4.05
Combine like terms and simplify.
10z+12-6z+20
Evaluate:
5x + x2 -20 if x=3
The radius of a circle is 12 inches. What is the diameter?
The radius of a circle is 6 cm. What is the area of the circle?
A student's quiz scores were:
62, 59, 78, 81, 75
What is the median, mean and range of the set?
What is the probability of spinning a 3 on the spinner shown? Write your answer as a percent.
If the two triangle shown are similar. What will the length of side EF?
What is the constant of proportionality shown in the table?
3
12
4
8
What is the perimeter P of the triangle ABC?
P = ab
P = 2a + b
P = a + 2b
P = 2ab
The record high temperature recorded one year was 93 degrees F while the record low temperature that year was -21 degrees F. How much warmer was the high temperature than the low temperature?
114 degrees
-72 degrees
72 degrees
-114 degrees
Laura walked 6 1/2 laps in a circular path in 2 hours. At that rate, how many laps of the path did she walk in one hour?
2
3
3 1/4
3 1/2
Which expression is equivalent to: 21(6x + 21)
12x + 1
6x + 4 1
3x + 4 1
3x + 2 1
Last year 90 schools participated in the State Spelling Bee. This year there were 20% more schools participating than last year. How many schools participated in the spelling bee this year?
18 schools
108 schools
10 schools
90 schools
An equation with two equal ratios
proportion
rate
unit rate
reciprocal
What is the diameter of this circle?
12 cm
6 cm
24 cm
The high temperature was -7 degrees on Monday and -15 degrees on Tuesday, on which day was in warmest?
Monday
Tuesday
Change this improper fraction to a mixed number:
14/3
3 5/3
4 1/3
4 2/3
12
Rational numbers include integers, fractions, and terminating and repeating decimals.
True
False
Integers only include all positive numbers and fractions.
True
False
Which of the following is furthest to the left on the number line?
-6.5
-6
-5
6.7
Choose the descriptions that best describes the triangle below. There could be more than one answer.
isosceles triangle
acute triangle
equilateral triangle
obtuse triangle
scalene triangle
Classify the angles. There could be more than one answer.
complementary
adjacent
vertical
supplementary
What is ∣43.65∣ ?
43.65
−43.65
−∣−43.65∣
You spin the spinner once. What is the P(3)?
43
31
41
53
What is the volume of this cylinder?
18π
108π
36π
54π
What is the circle's area?
8π
16π
256π
64π
What is the mean?
6
5
7
8
What is the next step?
subtract 5
add 40
subtract 40
bring down the 6
What is the surface area?
74
148
100
50
What is the median in the box plot?
79
66
90
60
The measure of an angle is 34° . What is the measure of its supplementry angle?
180
124
56
146
Yoshi's father gave him 200 Pokemon cards. Each week, Yoshi purchases 25 Pokemon cards to add to his collection.
Which inequality can be used to find w, the number of weeks after starting his collection when Yoshi will have more than 750 Pokemon cards in his collection?
200w + 25 < 750
25w + 200 < 750
200w + 25 > 750
25w + 200 > 750
Consider the graph.
What does point A represent on this graph?
4 web visits per 12 downloads
The rate of change
4 downloads per 12 web visits
The slope of the line
Michelle makes bracelets at a rate that is proportional to the number of hours she has worked.
Which table could represent how many total bracelets, y, Michelle can make after working x hours?
The points on the coordinate grid represent the costs for the different numbers of peaches.
Select all statements that are true about the graph.
There is a proportional relationship between the number of peaches and the cost because a line can be drawn passing through the origin and connecting all the points shown.
There is a proportional relationship between the number of peaches and the cost because the x-value is always greater than the y-value.
The point (1, 0.75) can be used to represent the unit rate of 0.75 dollars per peach.
The point (1, 0.75) can be used to determine the total cost by subtracting 0.25 from the number of peaches.
The point (4,3) represents the cost of $4 for 3 peaches.
What is the formula for the area of a triangle
A=1/3 bxh
A=1/2 bxh
A=1/2 lxw
None of the above
What is the square root of 64
(a)
What is the Volume of this rectangular prism.
18^2
36m^3
168m^3
168m^2
If the length is 7 and the height is 5.What is the Area of the rectangle.
2
12
35
70
The table shows the number of times a grasshopper chirped in a given time period.
Which of the following best describes the constant of proportionality?
The grasshopper chirps 45 times in 1/2 a minute
The grasshopper chirps 90 times in 1 minute.
The grasshopper chirps 22.5 times in 1 minute.
The grasshopper chirps 135 times in 1.5 minutes.
The graph shows the number of calories in a given number of donuts.
Which of the following best describes the constant of proportionality?
100 calories per donut
300 calories per donut
150 calories per donut
600 calories per donut
The table shows the salary Yuridia earned working at her new job. How much does Yuridia earn per hour?
$10.25
$11.50
$12.75
$14.50
Find the volume. Use your formula to help you!
960 cm 3
240 cm 3
1920 cm 3
Find the volume of the cylinder. Use 3.14 for pi and your formula to help you!
282.6in3
516.2in3
133in3
214in3
Which of the following is an obtuse scalene triangle?
A triangular pyramid is shown. The pyramid can be sliced horizontally or vertically. Select all of the shapes that could represent the cross section of the pyramid.
What type of angle?
right
acute
obtuse
straight
What type of angle?
right
acute
obtuse
straight
What type of angle?
right
acute
obtuse
straight
What type of angle?
right
acute
obtuse
straight
What type of angle?
right
acute
obtuse
straight
1
3/9 or 1/3
A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?
3/10
3/9
1/10
1/9
During the first several rounds of a golfing league, Anthony made par or better on 32 out of 80 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 160 holes?
54 pars or better
60 pars or better
64 pars or better
70 pars or better
Probability ranges from 0 (impossible) to 1 (certain).
true
false
If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?
P(green) =
Ten cards are numbered 1 through 10 mixed together and then one card is drawn. If you draw cards 180 times, how many times would you predict to pick a number that is divisible by 3?
Ten cards numbered 1 through 10 mixed together and then one card is drawn. If you draw 80 times, how many times would you pick a number less than 5?
Which of the following best describes the likelihood of the spinner landing on a number less than 6?
impossible
unlikely
equally likely
likely
certain
What is the probability of flipping this quarter and landing on tails?
1/4
1/3
1/2
2/3
What is the probability of spinning a yellow, green, or blue?
3/4
1/12
1/3
1/16
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
What is the perimeter of this rectangle?
24 cm2
24 cm
35 cm2
35 cm
Find the area of this parallelogram.
60 in
60 in2
50 in
50 in2
Find the area of this triangle.
20 cm2
56 cm2
28 cm2
27 cm2
Find the area of this trapezoid.
108 cm2
132 cm2
1848 cm2
216 cm2
What formula is this?
Area of Parallelogram
Circumference of Circle
Area of Circle
Perimeter of Circle
What Formula is this?
Area of Triangle
Perimeter of Circle
Circumference of Circle
Area of Circle
What formula is this
Area Rectangle
Area Trapezoid
Area Triangle
Area Circle
What do you call the red line in this circle?
Radius
Diameter
Chord
Transversal
Two coplanar lines that never meet and are always an equal distance from each other.
Parallel
Perpendicular
Intersecting
Skew
Two coplanar lines that meet to form four right angles.
Parallel
Perpendicular
Intersecting
Skew
The common endpoint of two rays that make up an angle.
Angle
Vertex
Line
Plane
What kind of lines are these?
Parallel Lines
Perpendicular Lines
Right Lines
Skew Lines
What kind of intersecting lines are these?
Parallel Lines
Perpendicular Lines
Right Lines
Skew Lines
What does this picture represent?
Ray
Line
Segment
Angle
A specific location in space is called a...
line
point
line segment
ray
What is the area of this shape?
36 cm
13cm
36 cm2
13 cm2
What is the area of this shape in inches?
15
15 in.
15 in2
15cm
A vertex or vertices are commonly known as what?
lines
circles
corners
arrows
Which of these angles is acute?
90°
107°
154°
30°
Which of these quadrilaterals has only one set of parallel lines?
A reflection does what to the shape?
Turn the figure
Flip the figure
Slide the figure
Dilate the figure
Find ∠KOM
19
95
85
90
Find χ
30
31
32
33
Find χ
17
20
16,5
17,5
∠FOD ?
12
72
43
8
Find X
9
6
15
3
A flat surface is called a...
plane
line
point
ray
Part of a line that has a beginning, but no end is called a...
line segment
ray
angle
plane
What is the definition of absolute value?
The distance a number is to zero
A positive number
A number that has a value with a different sign
Evaluate: |0|
0
-0
+0
There is no answer
Compare: -2 and |-2|
<
>
=
Compare: |13| ____ |-14|
<
>
=
What is the definition of an opposite?
The distance a number is to zero
A number with the same digit(s) but opposite sign
What is the opposite of -12
12
-12
0
What is the opposite of 0
-0
+0
0
There is no opposite
Order from least to greatest:
-2, |3|, -4
-4, -2, |3|
-2, |3|, -4
|3|, -2, -4
-2, |3|, -4
Order from Least to Greatest
|-5|, 3, -4, -1
-4, -1, 3, |-5|
|-5|, -4, -1, 3
-1, -4, |-5|, 3
-4, 3, -1. |-5|
20 degree drop in temperature
-20
20
A withdrawal of $15
$15
-$15
What is an "integer"?
*Mark all that apply.
A positive number.
A fraction.
A decimal number.
A negative number.
Zero.
6 x 7 = 7 x 6
9 x 1 = 9
-5 + 5 = 0
16 is a
Real Number
Rational Number
Integer
Whole Number
-0.15 is a
Real Number
Rational Number
Integer
Whole Number
Which of the following is an irrational number?
Which of the following is a rational number?
Click on all irrational numbers.
Click on all irrational numbers.
Which kind of decimals are irrational?
Those that terminate.
Those that repeat a pattern.
Those that never end.
Those that never end and have no pattern.
The opposite of a real number is...
an unreal number
an imaginary number
a fake number
a contradictory number
Convert this repeating into a ratio using algebra, if necessary.
Write this repeating decimal as a ratio.
Which of the following is a whole number?
9
910
−3 21
2 32
Which of the following is a whole number?
-2
-10
10
-1
Which of the following are rational numbers?
64
15
47
7.452
Which of the following are whole numbers?
0
78
35
-88
5x=3
What is the first step to solving this equation?
add 5
subtract 5
divide 5
multiply 5
4x=16
What is the first step to solving this equation?
add 4
subtract 4
divide 4
multiply 4
Round to the nearest tenth
