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Q2 C7A Cumulative Review

Total questions: 80

Worksheet time: 7hrs 30mins

Name
Class
Date
1.
What is C?
a)
80
b)
24
c)
96
d)
92
2.

Find THREE equivalent ratios for 4 to 7. Select all that apply.

a)

814\frac{8}{14}

b)

7 to 4

c)

24:42

d)

7:4

e)

20:35

3.

Find THREE equivalent ratios for 4/5. Select all that apply.

a)

5:4

b)

810\frac{8}{10}

c)

12:15

d)

5 to 4

e)

40 to 50

4.
Is this graph proportional?
a)
Yes
b)
No
5.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
6.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
7.

Factor 8x + 4y + 12

a)

4x(2 + y + 3)

b)

4xy(2 + y + 3)

c)

4(2 + y + 3)

d)

4(2x + y + 3)

8.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

9.

(2x + 5) - (6x + 3)

a)

8x + 8

b)

-4x + 2

c)

-4x + 8

d)

4x - 2

10.

2(2x + 3) + 3(4x + 5)

a)

6x + 8

b)

16x + 21

c)

56x + 8

d)

16x + 8

11.
-6p - 3 = 9 
a)
-2
b)
2
c)
6
d)
3
12.
-3t + 4 = 19
a)
-5
b)
7
c)
-7
d)
3
13.

Graph the solution of the inequality on paper and then select all correct responses below.


Marcus has less than $25 in his bank account.

b < 25

a)

Draw an open circle at 25.

b)

Draw a closed circle at 25.

c)

Shade all numbers larger than 25.

d)

Shade all numbers smaller than 25.

e)

Shade all numbers to the left of 25.

14.

Choose the inequality that has that solution shown on the graph.

a)

a < 1 12a\ <\ 1\ \frac{1}{2}

b)

a < 1 12a\ <\ -1\ \frac{1}{2}

c)

a > 1 12a\ >\ 1\ \frac{1}{2}

d)

a > 1 12a\ >\ -1\ \frac{1}{2}

15.
a)

-5/14

b)

7/40

c)

5/14

d)

10/28

16.

3467\frac{\frac{3}{4}}{\frac{6}{7}}  

a)

911\frac{9}{11}  

b)

1828\frac{18}{28}  

c)

87\frac{8}{7}  

d)

78\frac{7}{8}  

17.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
18.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality? 
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
19.

5 + 36 ÷\div  2 x 3 - 4

a)

7

b)

55

c)

12

20.

5210÷2×45^2-10\div2\times4  

a)

4

b)

5

c)

80

d)

160

21.
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
22.
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
23.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
24.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
25.
A rational number can be written as a fraction.
a)
True
b)
False
26.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
27.
4.032
a)
Rational 
b)
Irrational
28.
√31
a)
Rational
b)
Irrational
29.
What is the cube root of 64?
a)
2
b)
4
c)
8
d)
16
30.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
31.
Which of the following is a rational number?
a)
π
b)
√8
c)
.56565656....
d)
√10
32.

Simplify the expression:


3x2 - x + 7 + 5x + 2 - 2x2

a)

x2 + 4x + 9

b)

5x2 + 9

c)

15

d)

15x

33.

Simplify the Expression:


3x2y + 4x - 6y + 4x2y -2y

a)

11x2y - 8y

b)

3y

c)

7x2y - 4y

d)

7x2y + 4x - 8y

34.

2xy can be combined with 3xy2

a)

True

b)

False

35.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
36.
-4(-4d - 5)
a)
-16d+20
b)
16+20
c)
16d+20
d)
16s-20
37.

Solve the following equation

3x - 5 = -26

a)

x=-21

b)

x=-7

c)

x=21

d)

x=61

38.
What is 1/8 as a decimal?
a)
.1
b)
.12
c)
1.25
d)
.125
39.
Convert 7/8 to a decimal.
a)
7.8
b)
8.7
c)
.875
d)
.87
40.

Identify the repeating decimals.
I.  –0. 353\overline{353}  
II.  3.611
III   –1.35555...
IV.  2.15
V.  7.7770

a)

I and III

b)

I, III, V

c)

II

d)

I

41.
Identify the fraction equivalent to the decimal below.
a)
2 4/99
b)
2   4/9
c)
2   2/5
d)
2 4/10
42.
What is -(-17)?
a)
17
b)
-17
c)
1/17
d)
0
43.
The opposite of a negative is always a ___________
a)
positive
b)
negative
c)
absolute value
d)
inequality
44.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

45.
Four pounds of bananas cost $6.  What is the cost per pound of bananas?
a)
$24 per pound
b)
$1.50 per pound
c)
$1 per pound
d)
$6 per pound
46.

Convert to a percent:

7/8

a)

114%

b)

8.75%

c)

87.5%

d)

85%

47.
Write 3/5 as a percent.
a)
3%
b)
30%
c)
5%
d)
60%
48.

3650=365^0=  

a)

0

b)

1

c)

365

d)

1365\frac{1}{365}  

49.

x5x^{-5}  =

a)

1x5\frac{1}{x^{-5}}  

b)

1x5\frac{1}{x^5}  

c)

x51\frac{x^5}{1}  

d)

x51\frac{x^{-5}}{1}  

50.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

51.

x3x4 =x^3\cdot x^4\ =  

a)

x12 x^{12\ }  

b)

x1x^{-1}  

c)

x7x^7  

d)

x34x^{34}  

52.

x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

x6x^6  

b)

x12x^{12}  

c)

x42x^{-42}  

d)

x12x^{-12}  

53.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

54.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x5x^{-5}  

55.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

56.

What is the square root of 100?

√100

a)

10

b)

200

c)

50

d)

1000

57.
169
a)
Is a perfect square.
b)
Is not a perfect square.
58.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
59.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
60.
The simple interest formula is I=Prt.  The P represents the principle.  The principle is ___________________.  
a)
the amount of money borrowed or deposited
b)
the percent interest for his year
c)
the amount taxed
d)
the amount the bank owes you for being a customer at their bank
61.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
62.
Sam borrowed $4,500 for 2 years and had to pay $630 simple interest at the end of that time. What rate of interest did he pay?
a)
6%
b)
7%
c)
8%
d)
9%
63.
Mrs. Adele is buying a new tie from Macy's. It says the tie costs $15.00 but there is a sign above it that says 25% off. How much will the tie cost before taxes?
a)
$3.75
b)
$18.75
c)
$15.25
d)
$11.25
64.

Ivan deposits $5,000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?

What is the principle? ​ (a)  

What is the rate? ​ (b)  

What is the time? ​ (c)  

Choose from the below words
$5,000
5%
3 years
65.

Felipe invested in a savings bond for 6 years and was paid simple interest at an annual rate of 3%. The total interest that he earned was $540. How much did he invest?

66.
a)
x= 12
b)
x= -12
c)
x= -22
d)
x= 22
67.

50.6 = 28.1 + 0.5a

a)

a= 4.5

b)

a= 45

c)

a= 6

d)

a= 157

68.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
69.

Which values are part of the solution set 

4(3w+9)>124\left(3w+9\right)>12  

a)

-12

b)

-2

c)

0

d)

2

e)

1

70.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
71.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
72.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

73.

2z + 5 - 8p + n

Which are the coefficients?

a)

2,8

b)

2, 8, 5

c)

n

d)

2, 8, 1

74.

Find the difference:

2(x - 2) - 3(x - 4)

a)

-x - 8

b)

x + 8

c)

5x + 8

d)

-x + 8

75.

3467\frac{\frac{3}{4}}{\frac{6}{7}}  

a)

911\frac{9}{11}  

b)

1828\frac{18}{28}  

c)

87\frac{8}{7}  

d)

78\frac{7}{8}  

76.

Johnathan can jog 3253\frac{2}{5}   miles in  78\frac{7}{8}  hour. Find his average speed in miles per hour.

a)

44354\frac{4}{35}  mph

b)

44314\frac{4}{31}  mph

c)

331353\frac{31}{35}  mph

d)

4 mph

77.

y=kx.  What does the k represent?

a)

constant of proportionality

b)

multiplier

c)

unit rate

d)

all of the above

78.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
d)
y=x
79.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
80.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4