Free Printable TCAP review 8th grade math in a nutshell

1.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

2.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

3.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

4.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

5.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

6.

What transformation is happening to the red triangle to get to the blue triangle?

a)

Translation

b)

Rotation

c)

Reflection

7.

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)

8.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

9.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

10.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

a)

S'(3, 7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

11.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

12.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

13.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

14.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

15.

Supplementary Angles add up to be ______-degrees

a)

270

b)

180

c)

90

d)

120

16.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

17.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

18.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

19.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

20.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

21.

a)

41°

b)

65°

c)

102°

d)

115°

22.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

23.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

24.

Are the triangles similar?

a)

Yes

b)

No

25.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

26.

Sides in similar figures must be proportional.

a)

True

b)

False

27.

What scale factor is needed to dilate triangle DEF onto triangle ABC?

a)

1/2

b)

1/3

c)

3

d)

2

28.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

29.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

30.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

31.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

32.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

33.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

34.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

35.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

36.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

37.

a=3, b=6, and c=9

Is this a right triangle?

a)

yes

b)

no

38.

Which equation has a positive slope?

a)

y= 3x + 5

b)

y= -3x + 5

c)

y= -3x - 5

39.

Which equation has a negative slope?

a)

y= 3x + 5

b)

y= 3x - 5

c)

y= -3x - 5

40.

What is the y-intercept of this equation?
y = 5x + 8

a)

(0, 5)

b)

(5, 0)

c)

(0, 8)

d)

(8, 0)

41.

What is Brad's slope in terms of sit-ups?

a)

1 sit-up per day

b)

5 sit-ups per day

c)

15 sit-ups per day

d)

15 days per 1 sit-up

42.

Graph. y = -4

a)

a

b)

b

c)

c

d)

d

43.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

44.

Graph. x = 1

a)

a

b)

b

c)

c

d)

d

45.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

46.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

47.

Find the slope:
(-4, 3) and (-4, -7)

a)

5/4

b)

-10/8

c)

Zero

d)

Undefined

48.

Find the slope:

(8,5) and (-9, 5)

a)

0

b)

Undefined

c)

-10/17

d)

-10/1

49.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

50.

The first step to take in order to solve for x in this equation

3(4x - 1) = 18

a)

use the distributive property to remove the parentheses

b)

combine like terms

c)

multiply by the reciprocal

d)

add one to both sides

51.

The reciprocal of 2/3 is

a)

3/2

b)

-2/3

c)

-3/2

d)

22/33

52.

How many solutions does this equation have?

6x - 3 = 6x + 9

a)

One Solution

b)

No Solution

c)

Many Solutions

53.

How many solutions does this equation have?

8y - 4 = 8y - 4

a)

One Solution

b)

No Solution

c)

Many Solutions

54.

How many solutions does this equation have?

3z + 7 = 7 + 3z

a)

One Solution

b)

No Solution

c)

Many Solutions

55.

What is the solution to the system of equations graphed below?

a)

No Solution

b)

Infinite Solutions

c)

One Solution: (3, 1)

d)

One Solution: (1, 3)

56.

What is the solution to the system of equations graphed below?

a)

No Solution

b)

Infinite Solutions

c)

One Solution: (0, 4)

d)

One Solution: (0, 6)

57.

How many solutions does the system of equations below have?

a)

No Solution

b)

Infinite Solutions

c)

One Solution

58.

What is the solution to the system of equations graphed below?

a)

No Solution

b)

Infinite Solutions

c)

One Solution: (0, 2)

d)

One Solution: (2, 6)

59.

How many solutions does the system of equations below have?

a)

No Solution

b)

Infinite Solutions

c)

One Solution

60.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

61.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

62.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

63.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

64.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

65.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

66.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

a)

$\frac{3}{7}\times\frac{3}{7}$

b)

$\frac{4}{7}\times\frac{4}{7}$

c)

$\frac{4}{7}\times\frac{3}{6}$

d)

$\frac{4}{7}\times\frac{3}{7}$

67.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

68.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

69.

How would you write 4.3756 x 10⁴in standard form?

(a)

70.

Write the answer in scientific notation.

5.3 x 10⁵ + 3.7 x 10⁵ =

a)

99.0 x 10⁵

b)

9.9 x 10¹⁰

c)

8.0 x 10⁵

d)

9.0 x 10⁵

71.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

72.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

73.

Solve:
(9 x 10^-6) / (3 x 10^-3)

a)

27 x 10^-9

b)

3 x 10^-3

c)

3 x 10^-9

d)

27 x 10^-3

74.

Simplify the expression.
(x⁵ )(x⁵)

a)

x¹⁰

b)

x²⁵

c)

x¹⁶

d)

x⁸

75.

Simplify (c⁵)(c²)(c²)

a)

c²⁰

b)

c⁹

c)

c¹¹

d)

3c⁴⁵

76.

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

77.

$\frac{15^9}{15^3}$

a)

15⁶

b)

15¹²

c)

1⁶

d)

1¹²

78.

Simplify the expression.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

79.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

80.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

81.

4/3

a)

Rational

b)

Irrational

82.

1.232323....

a)

Rational

b)

Irrational

83.

4.89125...

a)

Rational

b)

Irrational

84.

Rational or irrational?

a)

Rational

b)

Irrational

85.

Rational or Irrational?

a)

Rational

b)

Irrational

86.

Rational or Irrational?

a)

Rational

b)

Irrational

87.

Rational or Irrational?

a)

Rational

b)

Irrational

TCAP review 8th grade math in a nutshell

Total questions: 87

Worksheet time: 4hrs 42mins

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