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Algebra Test Review 1-1

Total questions: 94

Worksheet time: 3hrs 53mins

Name
Class
Date
1.

What is the domain of this graph?

a)

x7x\ge7

b)

x>7x>7

c)

y>3y>3

d)

y3y\ge3

2.

What is the range of this graph?

a)

x>0x>0

b)

y=7y=7

c)

x0x\ge0

d)

y7y\ge7

3.

What is the domain of this graph?

a)

x>0x>0

b)

y=7y=7

c)

x0x\ge0

d)

y7y\ge7

4.

What is the range of this graph?

a)

x>7x>7

b)

x=7x=7

c)

y0y\le0

d)

y<0y<0

5.

What is the domain of this graph?

a)

x>7x>7

b)

x=7x=7

c)

y0y\le0

d)

y<0y<0

6.

What is the domain of h(x)h\left(x\right)  ?

a)

All real numbers

b)

(3, 4)\left(3,\ 4\right)  

c)

h(x)4h\left(x\right)\ge4  

d)

h(x)>4h\left(x\right)>4  

7.

What is the range of h(x)h\left(x\right)  ?

a)

All real numbers

b)

(3, 4)\left(3,\ 4\right)  

c)

h(x)4h\left(x\right)\ge4  

d)

h(x)>4h\left(x\right)>4  

8.

What is the domain of  h(x)h\left(x\right)  ?

a)

{4, 14, 32}\left\{4,\ 14,\ 32\right\}  

b)

{4, 3, 5, 7}\left\{-4,\ 3,\ 5,\ 7\right\}  

c)

4x324\le x\le32  

d)

4h(x)7-4\le h\left(x\right)\le7  

9.

What is the range of  h(x)h\left(x\right)  ?

a)

{4, 14, 32}\left\{4,\ 14,\ 32\right\}  

b)

{4, 3, 5, 7}\left\{-4,\ 3,\ 5,\ 7\right\}  

c)

4x324\le x\le32  

d)

4h(x)7-4\le h\left(x\right)\le7  

10.

What is the range of  h(x)h\left(x\right)  ?

a)

{4, 3, 5, 7}\left\{-4,\ 3,\ 5,\ 7\right\}  

b)

4x7-4\le x\le7  

c)

4h(x)324\le h\left(x\right)\le32  

d)

{4, 14, 32}\left\{4,\ 14,\ 32\right\}  

11.

What is the domain of this set of ordered pairs?

a)

{7, 4, 1, 3, 5}\left\{-7,\ -4,\ -1,\ 3,\ 5\right\}

b)

{9, 3, 3, 11, 15}\left\{-9,\ -3,\ 3,\ 11,\ 15\right\}

c)

7x5-7\le x\le5

d)

9y15-9\le y\le15

12.

What is the domain of this graph?

a)

8y<0-8\le y<0  

b)

8y0-8\le y\le0  

c)

2x<7-2\le x<7  

d)

2<x7-2<x\le7  

13.

What is the domain of this graph?

a)

7y2-7\le y\le2

b)

3x<2-3\le x<2

c)

3<x2-3<x\le2

d)

7y<2-7\le y<2

14.

In this exponential function, the range approaches zero but never includes it. What is the range?

a)

y<0y<0

b)

x>4x>-4

c)

y0y\ge0

d)

y>0y>0

15.

What is the domain of this graph?

a)

7x<2-7\le x<2

b)

4x<1-4\le x<1

c)

4<x1-4<x\le1

d)

7<x2-7<x\le2

16.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

17.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

18.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

19.

What is the Range?

a)

y ≥ 6

b)

<y6-\infty<y\le6  

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

20.

What is the Domain?

a)

y ≥ 6

b)

<x<-\infty<x<\infty  

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

21.
a)

{-2, 3, 7}

b)

[-2, 7]

c)

{1, 2, 3, 4}

d)

[1, 4]

22.

Which relation has a domain of {3,7} and a range of {0,5} ?

a)

(3,5), (3,7), (0,5), (0,3)

b)

(3,0), (7,0), (3,5), (7,5)

c)

(3,0), (3,5), (3,7), (7,5)

d)

(7,0), (5,7), (3,5) (7,5)

23.

Given the function g(x)=2x and the domain {0, 2, 4}, what is the range?

a)

{0, 1, 2}

b)

{0, 4, 8}

c)

{2, 4, 8}

d)

{1, 2, 3}

24.

Given the function g(x)=x-1 and the range {-1, 1, 2}, what is the domain?

a)

{0, 2, 3}

b)

{-2, 0, 1}

c)

{-1, 1, 2}

d)

{2, 0, 1}

25.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
26.
a)

Function

b)

NOT a function

27.
a)

Function

b)

NOT a function

28.
a)

Function

b)

NOT a function

29.
a)

Function

b)

NOT a function

30.
a)

Function

b)

NOT a function

31.
a)

Function

b)

NOT a function

32.
a)

Function

b)

NOT a function

33.
a)

Function

b)

NOT a function

34.
a)

Function

b)

NOT a function

35.
a)

Function

b)

NOT a function

36.
a)

Function

b)

NOT a function

37.
a)

Function

b)

NOT a function

38.
a)

Function

b)

NOT a function

39.
a)

Function

b)

NOT a function

40.
a)

Function

b)

NOT a function

41.
a)

Function

b)

NOT a function

42.
a)

Function

b)

NOT a function

43.
a)

Function

b)

NOT a function

44.
a)

Function

b)

NOT a function

45.
a)

Function

b)

NOT a function

46.

What is the next step to solve this equation?
n - 4 = -2

a)

Add 4 to both sides of the equation

b)

Add n to both sides of the equation

c)

Subtract n from both sides of the equation

d)

Subtract 4 from both sides of the equation

47.

1.25(4x10)=7.51.25\left(4x-10\right)=7.5

Which value of x makes the equation true? 

a)

3.5

b)

-1

c)

-0.5

d)

4

48.

56=2(5a+3)56=2(5a+3)  

a)

a = 5

b)

a = 0

c)

a = 6

d)

a = -4

49.

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

50.

(6m+8)=4(17m)-\left(6m+8\right)=4\left(17-m\right)  

What is the solution to the equation?



(a)  

51.

34x+95=3(14x+9)34x+95=3\left(14x+9\right)  

What is the solution to the equation?



(a)  

52.

8x3(2x4)=3(x6)8x-3\left(2x-4\right)=3\left(x-6\right)  

What is the solution to the equation?

a)

6

b)

2

c)

30

d)

No solution

53.

0.75(x+20)=2+0.5(x2)0.75\left(x+20\right)=2+0.5\left(x-2\right)  

Which value of x makes the equation true?

a)

64

b)

-64

c)

56

d)

-56

54.

5x(74x)=2(3x4)-5x-\left(-7-4x\right)=-2\left(3x-4\right)  

What value of x makes the equation true?

a)

x = 3

b)

x = 5

c)

x = 13x\ =\ \frac{1}{3}  

d)

x=15x=\frac{1}{5}  

55.

0.3(12x16)=0.4(123x)0.3\left(12x-16\right)=0.4\left(12-3x\right)  

What is the solution to the equation?

a)

-2

b)

4

c)

2

d)

-4

56.

Solve.

(2x3)4=9\frac{(2x-3)}{4}=9  

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

57.
55c + 13 ≤ 75c + 39
a)
c≤10/13
b)
c ≥ −10/13
c)
-c>19
d)
c≤50/80
58.

30b + 53 ≥ 18b − 83

a)

b≥−​3​​4/3

b)

b≥-14 2/3

c)

b>8

d)

-b<12

59.
54x + 64 ≥ 49x + 59
a)
x≥−1
b)
x≤-1
c)
x>9
d)
x<-3
60.
Solve:
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
61.
Solve:
6x + 3 > 4x - 7
a)
x>5
b)
x>-5
c)
x<-5
d)
x>-2
62.
Solve:
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3
63.
Solve:
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
64.
Solve:
14x + 12 < 9x -3
a)
x < -3
b)
x < 5
c)
x < -5
d)
x > 3
65.
Solve:
11x + 16 < 43 + 2x
a)
x < 5
b)
x < 3
c)
x > 5
d)
x > 3
66.
a)
a ≥ 4
b)
a ≥ -4
c)
a ≤ 4
d)
a ≤ -4
67.
a)
n < 1
b)
n < -1
c)
n > 1
d)
n > -1
68.
a)
m < 6
b)
m < -6
c)
m > 6
d)
m > -6
69.
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x ≤ -2
70.

8g − 5g − 4 ≤ -3 + 3g

a)

g ≤ 0

b)

g ≤ 1

c)

All Real Numbers

d)

No Solution

71.
8g − 5g − 4 ≤ -3 + 3g 
a)
g ≤ 0
b)
 g ≤ 1 
c)
All Real Numbers
d)
No Solution
72.
6(L+3) < 3(2L+6)
a)
L > 0
b)
L < 0 
c)
All real numbers
d)
No solution
73.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
74.
Solve the following inequality:
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
75.
Solve:
-4(-7-5x) > 188
a)
x < -32
b)
x > -32
c)
x < 8
d)
x > 8
76.
Which inequality is represented by the words "less than"?
a)
<
b)
>
c)
d)
77.
Which inequality is represented by the words " at least"?
a)
<
b)
>
c)
d)
78.
Which inequality is represented by the words " more than"?
a)
<
b)
>
c)
d)
79.
Which inequality is represented by the words " no more than" or "at most"?
a)
<
b)
>
c)
d)
80.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
81.
Twice a certain number, increased by 5, is less than three times the same number.
a)
2x + 5 > 3x
b)
2x + 5 < 3x
c)
2x + 5 ≤ 3x
d)
2x + 5 ≥ 3x
82.
Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?
a)
3.33v > 2v + 10
b)
3.33v + 10 > 2v 
c)
3.33v < 2v + 10
d)
3.33v + 10 < 2v
83.

The inequality shown below represents fees for two different apartments.

500x + 700 < 650x + 200

Which situation below does this inequality represent?

a)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

b)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

c)

Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

d)

Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.

84.
Printing A prints pictures for $0.10 each and a $50 membership fee.  Printing Q prints pictures for $2 each with no membership fee.  Which inequality would be used to determine when Printing A is greater than Printing Q?
a)
0.1p + 50 > 2p
b)
0.1p + 50 < 2p
c)
50p + 0.1 < 2p
d)
50p + 0.1 > 2p
85.
Papaya charges $5 per DVD rental and a $10 membership fee.  Hutto charges $2 per DVD and a $60 membership fee.  Which inequality best represents when the charges from Papaya is less than Hutto?
a)
10 + 5d < 60 + 2d
b)
10 + 5d > 60 + 2d
c)
10d + 5 < 60d + 2
d)
12d > 70
86.
Solve: 4r - 5 < 5r + 7
a)
-r < 12
b)
-r < 2
c)
-12 < r
d)
2 < r
87.
Solve the inequality 7a < 3 + 7(a - 1)
a)
True
b)
False
c)
No Solution
d)
All Real Numbers
88.
Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?
a)
25 - 12x ≥ 200
b)
25 + 12x ≥ 200
c)
13x ≥ 200
d)
25 + 12x > 200
89.
a)
x ≤ 4
b)
x ≤ -4
c)
x ≥ 4
d)
x ≥ -4
90.
a)
x < 1
b)
x < -1
c)
x > 1
d)
x > -1
91.
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x ≤ -2
92.
Which inequality represents the following problem:
The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that represents all of the possible number of square yards you could buy so that The Rug Store costs more than The Magic Carpet.
a)
80+9.50x > 120+7.50x
b)
80+9.50x < 120+7.50x
c)
80x+9.50 > 120x+7.50
d)
80x+9.50 < 120x+7.50
93.
Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.
a)
30 + 20x < 15 + 30x
b)
30x + 20 < 15x + 30
c)
30 + 20x > 15 + 30x
d)
30x + 20 > 15x + 30
94.
Write an inequality to represent the following relationship:
A roller coaster sells tickets for $5 each, or VIP Fast Passes for $10 which allow you to pay only $1 per ticket and a place at the front of the line. Write an inequality that could be used to find after how many tickets the normal roller coaster is greater than the VIP fast pass.
a)
5x > 10 + 1x
b)
5x < 10 + 1x
c)
5x > 10x + 1
d)
5x < 10x + 1