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SC Ready Review 8th Grade Math

Total questions: 75

Worksheet time: 4hrs 41mins

Name
Class
Date
1.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

2.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

3.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

4.

Using exponents, what is the simplified form of the expression (24)7

a)

23

b)

1428

c)

228

d)

211

5.

Using exponents, what is the simplified form of this expression?

a)

59

b)

15

c)

514

d)

55

6.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10-3

b)

9.5 x 10-5

c)

9.5 x 10-4

d)

9.5 x 10-6

7.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

8.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

9.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

10.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

11.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

12.

Which of the following has the greatest value?

a)

3.5 x 104

b)

2.1 x 106

c)

7.2 x 107

d)

9.9 x 105

13.

How many times larger is 5 x 107 than 5 x 102?

a)

1 x 106

b)

1 x 104

c)

1 x 105

d)

1 x 109

14.

The lines 7x + 4y = 35 and 7x + 4y = 35 intersect at ____________________

a)

2 points

b)

1 point

c)

An infinite number of points

d)

There are no intersection points.

15.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
16.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
17.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
18.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
19.
Simplify:  3x3 ⋅ 3x
a)
32x4
b)
3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x 
c)
9x4
d)
3x4
20.

Which line has the equation

y = 2x + 1

a)
b)
c)
d)
21.
 Identify the slope and y -intercept in the equation:
a)
y = 2x - 2
b)
y = -2x + 2
c)
y = -2x + 4
d)
y = 2x + 4
22.
Which is the equation of the line with y-intercept -2 and slope 6.
a)
y = -2x + 6
b)
y = 3x
c)
y = -2x - 6
d)
y = 6x - 2
23.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
24.
a)
-30x+15
b)
30x-15
c)
30x+15
d)
-30x+15
25.
solve for c
a)
7
b)
9
c)
4
d)
13
26.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
27.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
28.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. 
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
29.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
30.
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
31.
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)
32.

Which two functions have a graph that is a line?

a)

y = 3/x + 2

b)

y = 2x2– 9x

c)

y = –3x

d)

y = 2x – 9

e)

y = –6x/7

33.

Select all of the following equations which define linear functions.

a)

y = 3/5

b)

y = x2 – 7

c)

y = 6 – 5x

d)

y = 9x

e)

y = 4/x + 1

34.

Brandon owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Brandon would use to find out how much to charge his customers?

a)

y = 25x + 10

b)

x = 25y + 10

c)

y = 10x +25

d)

x = 10y + 25

35.
a)
Function
b)
Not a Function
36.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
37.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
38.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
39.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
40.
.
a)
Function
b)
Not a Function
41.

Caden has a square tablecloth with a total area of 48 square feet. Which measurement is closest to the length of each side of the tablecloth in feet?

a)

9.8 ft

b)

5.0 ft

c)

12.0 ft

d)

6.9 ft

42.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
43.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
44.
The solution to this system is:
a)
No solution
b)
(0, 1)
c)
(0, -2)
d)
(4, 3)
45.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
46.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
47.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
Identical lines 
c)
Intersecting lines
48.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 
a)
Intersecting lines
b)
Identical lines
c)
Parallel lines
49.
What is the slope of the line 3x-9y=12?
a)
3
b)
9
c)
1/3
d)
-3
50.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
51.

Which number is irrational?

a)

π6\frac{\pi}{6}  

b)

8.1

c)

11.999...

d)

36\sqrt{36}  

52.

Kaden says the number 13 is an irrational number. Which statement best explains whether Kaden is correct?

a)

Kaden is correct because 13 only has 2 factors.

b)

Kaden is correct because 13 is not written as a fraction.

c)

Kaden is incorrect because 13 only has 2 factors.

d)

Kaden is incorrect because 13 can be written as a fraction.

53.

The number line shows four points. Which point represents the approximate location of 4.8\sqrt{4.8}  ?

a)

Point P

b)

Point Q

c)

Point R

d)

Point S

54.

Which number is represented by point P?

a)

7\sqrt{7}

b)

2.1111...

c)

π2\frac{\pi}{2}

d)

232\sqrt{3}

55.

Two linear functions are created. The first linear function is represented by the graph shown. The second linear function has the equation y = 2x – 6. Which statement best describes the difference between the values of the two functions at x = 8?

a)

The value of the first linear function is 1 greater than the value of the second linear function

b)

The value of the first linear function is 14 greater than the value of the second linear function.

c)

The value of the second linear function is 4 greater than the value of the first linear function.

d)

The value of the second linear function is 10 greater than the value of the first linear function.

56.

The table shows some values for a linear function. A second linear function passes the y-axis at the point (0, 4) and has a slope of 1 4 . Where do the two functions intersect?

a)

(5,3)

b)

(8,6)

c)

(1,-1)

d)

The two functions do not intersect.

57.

Mika talks with two different companies about having a banner printed.

--The first company uses the equation c = 2.75f + 75 to determine the cost, c, in dollars, for a banner with an area of f square feet.

-- The second company charges an initial fee of $80 and charges $3.05 per square foot.

Which statement best compares the costs at the two different companies to print Mika’s banner?

a)

The cost at the first company is always less than the cost at the second company for banners with equal area.

b)

The cost at the second company is always less than the cost at the first company for banners with equal area.

c)

The cost at the first company is less than the cost at the second company for banners with an area less than a particular value.

d)

The cost at the second company is less than the cost at the first company for banners with an area less than a particular value.

58.

The cost for a pizza at Pizza Palace depends on the size of the pizza and the number of toppings. For a large pizza, the cost in dollars, c, with t number of toppings can be determined with the equation c = 2t + 18. What does 2 represent in the equation?

a)

the radius of a large pizza in inches

b)

the cost to add one topping to a large pizza

c)

the cost of a large pizza without any toppings

d)

the number of toppings on a large pizza with a cost of $18

59.

The linear function y = 14x + 22 represents the cost in dollars, y, to camp at a park for x nights. What is most likely represented by the y-intercept of the function?

a)

the number of nights spent camping

b)

the cost per night to camp at the park

c)

the number of people camping

d)

the cost of a one-time fee for a camping permit

60.

54×535^4\times5^3  Which expression is equivalent to ?

a)

575^7  

b)

5125^{12}  

c)

25725^7  

d)

251225^{12}  

61.

Which expression has a value that can be expressed as a whole number?

a)

−3−5-3^{-5}

b)

(14)−3\left(\frac{1}{4}\right)^{-3}

c)

(12)4\left(\frac{1}{2}\right)^4

d)

2−32^{-3}

62.

A system of equations is shown. What is the value of y in the solution to the system of equations?

a)

y=3

b)

y=4

c)

y=5

d)

y=6

63.

A company takes care of cats and dogs overnight when their owners are out of town. The company charges $18 per cat per night and $30 per dog per night. On Saturday night, the company took care of a total of 16 cats and dogs. The system of equations shows the total amount the company charged on Saturday night for the number of cats, x, and the number of dogs, y, that were taken care of.

How many cats did the company take care of on Saturday night?

a)

4

b)

5

c)

8

d)

12

64.

A system of equations is shown. What is the solution to the system of equations?

a)

(3, 12)

b)

(5, 1.25)

c)

all real numbers

d)

no solution

65.

The figure shows two congruent triangles. Which series of transformations can be used to map triangle EFG onto triangle E'F'G'?

a)

a translation 11 units to the left and a reflection across the x-axis

b)

a reflection across the y-axis and a translation 11 units to the left

c)

a rotation of 180° around the origin and a translation 1 unit to the right

d)

a translation 1 unit to the right and a rotation of 180° around the origin

66.

The graph shows two congruent figures. Which two transformations map figure A onto figure B?

a)

a reflection across the x-axis and a translation 1 unit to the right

b)

a reflection across the x-axis and a translation 5 units to the right

c)

a reflection across the y-axis and a translation 1 unit to the right

d)

a reflection across the y-axis and a translation 5 units to the right

67.

A construction worker has a wooden board with a length of 12 feet and a height of 4 feet. The construction worker makes one cut through the entire board to create two triangular pieces. What is the measurement, rounded to the nearest tenth of a foot, of the cut the construction worker makes?

a)

6.9

b)

12.6

c)

32.0

d)

80.0

68.

The figure shows a bridge support, a cable, and the roadway of a bridge. The bridge support is 80 feet tall. The length of the cable is 170 feet. What is the distance, in feet, from the base of the bridge support to the point where the cable connects to the roadway?

a)

90

b)

150

c)

190

d)

250

69.

A candy store records the number of candies a customer purchases and the amount, in dollars, the customer spends. The scatter plot shows the data for the last 10 customers. Which scatter plot shows the line of best fit for the candy store’s data?

a)
b)
c)
d)
70.

On Saturday, Ari surveys 200 people at a music festival. She asks the people if they are camping overnight and if they are attending the festival on Sunday. She makes the two-way table shown to display her results.

A randomly selected person from Ari’s survey is not camping overnight. What is the probability, rounded to the nearest whole percentage, the randomly selected person is attending the music festival on Sunday?

a)

41%

b)

50%

c)

57%

d)

69%

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

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