Worksheets8th Grade Math TCAP Review 2022
Total questions: 59
Worksheet time: 49mins
Name
Class
Date
1.
The number 0.141414141414... is
a)
Rational
b)
Irrational
c)
Whole
d)
Integer
2.
Kelly is learning about rational and irrational numbers. What conclusion can she draw about the number 0.0566666...?
a)
Rational because it terminates
b)
Rational because it repeats
c)
Irrational because it doesn't terminate
d)
Irrational because it can't be written as a fraction
3.
Which decimal is closest to √55
a)
7.4
b)
7.1
c)
7.9
d)
7.6
4.
Select the true statement about √(108)
a)
10.3 < √(108) < 10.4
b)
10.8 < √(108) <10.9
c)
9 < √(108) < 10
d)
√(108) = 12
5.
Simplify the expression: 56 times 52
a)
512
b)
58
c)
108
d)
1012
6.
Simplify the expression:12-6 divided by 12-8
a)
12-14
b)
122
c)
1214
d)
1248
7.
Solve the equation x2=49.
a)
7
b)
-7
c)
±7
d)
None of the above
8.
On a recent homework assignment, Jason needed to solve this equation completely, m2 = 36. He incorrectly wrote “m=6.” What was Jason’s error?
a)
He didn't make an error.
b)
He should have divided 36 by 2 to get m=18.
c)
He needed to also put -6 as the answer.
9.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
10.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
11.
Divide: (8 x 107) ÷ (2 x 105)
a)
16 x 102
b)
4 x 1012
c)
4 x 102
d)
16 x 1035
12.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
13.
Find the slope.
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
14.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
15.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
16.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
17.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
18.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
19.
Without graphing, decide whether the system of equations has one solution, no solution, or infinitely many solutions.
y = 5x + 3
y = -5x + 3
y = 5x + 3
y = -5x + 3
a)
One solution
b)
Infinitely many solutions
c)
No solution
20.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines?
a)
Intersecting lines
b)
Same line
c)
Parallel lines
21.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
22.
a)
Function
b)
Not a Function
23.
a)
Function
b)
Not a Function
24.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
25.
What is the y-intercept of the following graph?
a)
(3, 0)
b)
(0, 3)
c)
(4, 0)
d)
(0, 4)
26.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
27.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
28.
Write an equation in slope-intercept form for the line with
m = -1/2 and passing through (-2, 4)
m = -1/2 and passing through (-2, 4)
a)
y = -3/2x + 3
b)
y = 3/2x + 3
c)
y = -1/2x + 3
d)
y = 3x - 3/2
29.
Find the equation of the line that passes through the points:
(-3, 3) and (3, -1)
(-3, 3) and (3, -1)
a)
y = -⅔ x + 1
b)
y = -⅔ x
c)
y = ⅔ x + 1
d)
y = -⅔ x +3
30.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
31.
Brad Pitt is going for a jog. Which best describes his speed at section D?
a)
Jogging at a constant speed
b)
Jogging at the highest altitude
c)
Taking a break
d)
decreasing his speed
32.
This graph represents Matthew taking his dogs out for a walk. Along which section of the graph is Matthew moving the fastest?
a)
A
b)
B
c)
D
d)
E
33.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
34.
Describe the Transformation
a)
Translation
b)
Reflection
c)
Rotation
35.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
36.
Point (7,2) is translated vertically 2 units and horizontally -5 units. Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
37.
Write the rule for this translation:
Slide 2 right and 3 up
Slide 2 right and 3 up
a)
(x, y)-->(x + 3, y + 2)
b)
(x, y)--> (x+2, y + 3)
c)
(x, y)--> (x - 2, y + 3)
38.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
39.
Find the measure of each angle indicated.
a)
50
b)
55
c)
60
d)
70
40.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
41.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
42.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
43.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
44.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
45.
Durham and Chapel Hill are 14 miles apart. Chapel Hill and Raleigh are 28 miles part. Raleigh and Durham are 25 miles part. Do these three cities form a right triangle?
a)
Yes they form a right triangle
b)
No they do not form a right triangle
46.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
47.
What is the shortest distance from the art museum to the shelter?
a)
3
b)
10
c)
5
d)
2
48.
What is the formula for the volume of a cylinder?
a)
V = πr²
b)
V = πr²h
c)
V = ½πr²h
d)
V = ½πrh
49.
What is the formula for volume of a sphere?
a)
V =(4/3)πr³h
b)
V =(4/3)πr³
c)
V =(1/3)πr³h
d)
V =(1/3)πr³
50.
A cylinder has a height of 9 cm and a radius of 4 cm. What is the volume in cubic centimeters?
a)
36π cm3
b)
144π cm3
c)
324π cm3
d)
16π cm3
51.
A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone in cubic inches?
a)
8π in3
b)
24π in3
c)
48π in3
d)
144π in3
52.
Find the volume of the sphere in cubic feet. Round your answers to the nearest hundredth.
Use 3.14 for π.
Use 3.14 for π.
a)
904.77 ft3
b)
7,238.23 ft3
c)
150.72 ft3
d)
650.22 ft3
53.
If a tennis ball has a diameter of 10 mm.
What is the volume of the tennis ball in cubic millimeters? Round to the nearest tenth.
Use 3.14 for π
What is the volume of the tennis ball in cubic millimeters? Round to the nearest tenth.
Use 3.14 for π
a)
345.8 mm3
b)
523.6 mm3
c)
392.5 mm3
d)
486.7 mm3
54.
What type of correlation does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
55.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 6 chapters.
a)
100 pages
b)
170 pages
c)
60 pages
d)
20 pages
56.
About how many male math teachers were there in 2006?
a)
15
b)
30
c)
35
d)
45
57.
Which of the following lines represents the Trend Line for the scatter plot?
a)
A
b)
B
c)
C
d)
D
58.
A bag has 3 red, 5 blue, and 2 yellow pieces of candy. What is the probability of drawing a blue piece of candy?
a)
1/2
b)
1/10
c)
3/10
d)
1/3
59.
You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?
a)
The probability is 3/11
b)
The probability is 1/11
c)
The probability is 3/132
d)
The probability is 3/12
100 %
