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Math 8 - Semester 1 Review 23-24

Total questions: 80

Worksheet time: 5hrs 41mins

Name
Class
Date
1.
What must be true in order to ADD two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The column of the 1st must equal the row of the 2nd.
2.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
3.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
4.
Multiply
a)
25
25
5
b)
-25
25
-5
c)
-10
-10
-6
d)
10
10
6
5.

How many people attended the basketball game but did not attend the school play?

6.

What number should go in the blue box?

7.

How many females studied Spanish?

a)

13

b)

30

c)

24

d)

17

8.
√ 64
a)
4
b)
6
c)
9
d)
8
9.
√ 81
a)
8
b)
7
c)
10
d)
9
10.
√ 36
a)
4
b)
6
c)
12
11.
4
a)
Is a perfect square.
b)
Is not a perfect square.
12.
144
a)
Is a perfect square.
b)
Is not a perfect square.
13.
Find the cube root. 
a)
-10
b)
10
c)
100
d)
-100
14.
Find the cube root. 
a)
2
b)
-2
c)
4
d)
24
15.
The area of a square painting is 81 cm2.  What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
16.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
17.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
18.
Which number is an integer?
a)
-1/2
b)
0.2
c)
3/4
d)
-2
19.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
20.

Match the description to the graph:

"The car is stopped."

a)
b)
c)
21.

Match the description to the graph:

"The car is traveling at a constant speed."

a)
b)
c)
22.

Match the description to the graph:

"The car is coming back."

a)
b)
c)
d)
23.

How long did it take this object to travel 10 meters?

a)

10 s

b)

15 s

c)

20 s

24.

What is the dependent variable in the statement?

The number of pages read, p, and the time spent reading, t

a)

Dependent variable: p

b)

Dependent variable: t

25.

What is the independent variable in the statement?

The number of pages read, p, and the time spent reading, t

a)

Independent variable: p

b)

Independent variable: t

26.
Between what two integers would you find the value of √150?
a)
12 and 13
b)
11 and 12
c)
13 and 14
d)
15 and 16
27.
Question Image

Use Luca's graph for Turtle Crossing to match the following.

a)

0 second

1.

0 ft

b)

1 ft

2.

1 second

c)

4 second

3.

2 ft

d)

10 ft

4.

8 second

e)

11 second

5.

11 ft

28.

Simplify using only positive exponents: 5−85^{-8}

a)

585^8

b)

158\frac{1}{5^8}

c)

15−8\frac{1}{5^{-8}}

d)

−58-5^8

29.

Zero Rule

Any number raised to the zero power is always__________.

a)

zero

b)

one

c)

exponent

d)

raised

30.

Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

31.

Which square root would come between 11 and 12 on a number line?

a)

√ 120

b)

√ 128

c)

√ 145

d)

√ 100

32.
Which point best represents √47?
a)
A
b)
D
c)
E
d)
F
33.
a)
a
b)
b
c)
c
d)
d
34.

32×38 = 3^2\times3^{8\ }=\  

a)

363^6  

b)

3163^{16}  

c)

3103^{10}  

35.

8582\frac{8^5}{8^2}  

a)

838^3  

b)

878^7  

c)

8108^{10}  

36.
True or False: 
a)
True 
b)
False
37.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
38.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
39.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

40.

(32)5

a)

33

b)

37

c)

310

d)

315

41.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
42.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
43.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
44.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
45.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
46.

The image shows what type of transformation?

a)

Rotation

b)

Translation

c)

Reflection

47.

What does dilation mean?

a)

a transformation that enlarges or reduces a figure

b)

a transformation that flips a figure

c)

a transformation that turns a figure

d)

a transformation that slides a figure

48.

What kind of transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

49.
A dilation with a scale factor less than 1 but greater than 0 is a(n) _____.
a)
Enlargement
b)
Reduction
50.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
51.
The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
52.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

53.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

54.

The preimage above is rotated 90o counterclockwise. How do the side lengths in the preimage compare to the side lengths in the image?

a)

Some of the side lengths increase in measure and other side lengths decrease in measure.

b)

The measures of the side lengths double.

c)

The measures of the side lengths decrease by one third.

d)

The measures of the side lengths are the same.

55.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
56.
1) If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
57.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
58.
6(5g+ 2)=30g
a)
g=2
b)
g=12
c)
all real numbers
d)
no solution
59.
The goal of solving a two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
60.
Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 
a)
125 - 100 = 45x + 30x
b)
100x + 45 = 125x + 30
c)
100 + 45x = 125 + 30x
d)
100 - 45x = 125 - 30x 
61.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
62.
a)
Function
b)
Not a Function
63.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
64.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
65.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
66.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
67.
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)
68.
a)
Function
b)
Not a Function
69.
What is happening in this graph from point B to C?
a)
The object is going down a hill.
b)
The object is returning to its starting location.
c)
The object is slowing down.
d)
The object is staying still.
70.

On what interval is the graph INCREASING?

a)

Between 7 and 12 seconds

b)

Between 0 and 1 seconds

c)

Between 1 and 5 seconds

d)

Between 12 and 13.5 seconds

71.
Which graph shows the object standing still?
a)
A
b)
B
c)
C
d)
D
72.

Carissa rows a boat part of the time and uses the motor part of the time. When she fishes, she anchors the boat in one place. Based on steepness, what section(s) does she use the motor?

a)

Section A

b)

Section B

c)

Section C

d)

Section D

73.

Carissa rows a boat part of the time and uses the motor part of the time. When she fishes, she anchors the boat in one place. Based on steepness, what section(s) is she anchored and fishing?

a)

Section A

b)

Section B

c)

Section C

d)

Section D

74.

Carissa rows a boat part of the time and uses the motor part of the time. When she fishes, she anchors the boat in one place. Based on steepness, what section(s) does she row the boat?

a)

Section A

b)

Section B

c)

Section C

d)

Section D

75.
Describe the situation.
a)
Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.
b)
Sales stay constant, then decrease at a constant rate, and increase slowly.  
76.
Which runner had a head start?
a)
A
b)
B
c)
C
77.

Is the highlighted section of this graph increasing, decreasing or no change?

a)

increasing

b)

decreasing

c)

no change (stopped)

78.

Is the highlighted section of the graph increasing, decreasing, or no change?

a)

increasing

b)

decreasing

c)

no change (stopped)

79.

How long did it take Xavier to ride his bike to school?

a)

2 minutes

b)

5 minutes

c)

8 minutes

80.

What was the total distance it took Xavier to travel to school?

a)

0.7 miles

b)

0.5 miles

c)

0.4 miles

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