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7A Final Review 2023

Total questions: 73

Worksheet time: 4hrs 36mins

Name
Class
Date
1.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
2.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
3.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
4.

Which exponential expression is equivalent to 37× 310 3^{-7}\times\ 3^{10\ } ?

a)

333^{-3}

b)

(37)10\left(3^{-7}\right)^{10}

c)

333^3

d)

3173^{-17}

5.

Students were asked how many minutes they spent reading last night for ELA. Using the box plot above, what is the third quartile?

a)

47.5

b)

40

c)

75

d)

50

6.

Students recorded the amount of minutes they spend watching TV. Using the box plot shown above, what is the first quartile?

a)

30

b)

24

c)

60

d)

78

7.
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
8.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
9.
(9.6×103) × (6.7×102)
a)
64.32×105
b)
6.432×106
c)
64.32×106
d)
64.32×105
10.
Solve the system by substitution:

y = x + 5
4x + y = 20
a)
(3,8)
b)
(8,3)
c)
(0,2)
d)
(2,0)
11.

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

a)

½

b)

¼

c)

4

d)

2

12.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

13.

The point C (4, 6) maps onto C' (12, 18) under a dilation with respect to the origin. What is the constant of dilation?

a)

13\frac{1}{3}

b)

2

c)

1

d)

3

14.

Solve for x using distribution:

–2(x+5) = 8

a)

x=6

b)

x=-16

c)

x=-9

d)

x=3

15.
-5 = 3m - 14
a)
3
b)
-3
c)
12
d)
-6.3
16.

63 = 7(1 + 4b)

a)

2.25

b)

2.5

c)

14

d)

2

17.
A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 
a)
1.7 km
b)
5 km
c)
15 km
d)
17 km 
18.

The distance between two cities on a map is 6 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

a)

165 miles

b)

80 miles

c)

120 miles

d)

240 miles

19.
Which number is rational below?
a)
√20
b)
√64
c)
d)
√7
20.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

21.
-17.5
a)
Rational
b)
Irrational
c)
real
d)
fake
22.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating  decimal.
23.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
24.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
25.

The area of triangle ABC is 92 square inches. Under what transformation could the area of the image, triangle A'B'C', be greater than 92 square inches?

a)

Translation

b)

Rotation

c)

Dilation

d)

Reflection

26.
Evaluate:
(72 + 51) ÷ (4 x 25)
a)
1
b)
0
c)
100
d)
2
27.

25+245÷1.75\frac{2}{5}+2\frac{4}{5}\div1.75  




(a)  

28.

Evaluate (35+0.25)÷(0.625)\left(-\frac{3}{5}+0.25\right)\div\left(-0.625\right)

a)

0.56

b)

-4.6

c)

0.056

d)

4.6

29.
3⁻⁴
a)
1 ⁄ 81
b)
-81
c)
81
d)
1 ⁄ 12
30.
Simplify.
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
31.
y = x - 6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
32.

Find the missing OUTPUT value.

a)

-19

b)

17

c)

19

d)

17

33.

If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

34.

There are 125 students in the auditorium. Of those 110 students, 46 of them are in the school band. What is the APPROXIMATE percent of students in the auditorium are in the band?

a)

40%

b)

50%

c)

20%

d)

15%

35.

The 2 shapes are similar. Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

36.
Sides in similar figures must be proportional.  
a)
True
b)
False 
37.

If the two triangles are similar, what is the measurement of x?

a)

3

b)

1.5

c)

8

d)

2/3=0.667

38.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
39.
Find the slope
a)
2
b)
-2
c)
1/2
d)
-1/2
40.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
41.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
42.

A system of equations is graphed above. What is the solution to the system of equations?

a)

(0, -6)

b)

(-2, -3)

c)

(-3, -2)

d)

(-4, 0)

43.
What is the value of "x"?
a)
19
b)
28
c)
18
d)
30
44.
What is the value of "x"?
a)
10
b)
11
c)
12
d)
13
45.
What is the value of "x"?
a)
20
b)
30
c)
25
d)
15
46.
Translate the following phrase:  Jessica must be at least 48 inches to ride the roller coaster.
a)
j > 48
b)
j < 48
c)
j ≤ 48
d)
j ≥ 48
47.

Translate the following phrase: Tom can spend at most 20 dollars on his mom's birthday present.

a)

t > 20

b)

t < 20

c)

t ≤ 20

d)

t ≥ 20

48.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
49.
Solve for x
a)
5
b)
90
c)
25
d)
10
50.
1. Find X 
a)
28
b)
5
c)
55
d)
40
51.

Find the missing angle in the triangle.

a)

65 degrees

b)

180 degrees

c)

115 degrees

52.

What is the sum of the measures of the angles of any triangle?

a)

90°

b)

360°

c)

180°

d)

45°

53.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
54.
Solve for x.
a)
6
b)
-10
c)
7
d)
-9
55.
Solve for x.
a)
7
b)
9
c)
-11
d)
-8
56.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
57.

How much does it cost to have your lawn mowed for 3 hours?

a)

$15

b)

$30

c)

$20

d)

$27

58.

Which point best represents 47\sqrt{47}  ?

a)

A

b)

D

c)

E

d)

F

59.

Which relation is a function?

a)
b)
c)
d)
60.

Which of the following is the graph of a function of x?

a)
b)
c)
d)
61.

a)

Function

b)

Not Function

62.

a)

Function

b)

Not Function

63.

a)

Function

b)

Not Function

64.

a)

Function

b)

Not Function

65.

What is the vertical line test?

a)

A graph is not a function if you can draw a vertical line and it crosses the graph in more than 1 location

b)

A Graph is a function if it can be altered to make a linear equation.

c)

A graph is a function if you can create a vertical line that adheres to the equation y=mx+b

d)

Stay within the vertical lines

66.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
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.
Find the rate of change
a)
1
b)
2
c)
11
d)
slopeNot a constant slope/Non-Linear
69.

Which has the greater rate of change?

a)

A

b)

B

70.

Which has the greater rate of change?

a)

A

b)

B

71.

Which has the greater rate of change?

a)

A

b)

B

c)

They're the same!

72.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
73.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
left 2, up 9
b)
right 2, down 9
c)
left 2, down 9
d)
left 2, up 5