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Midterm Practice - Algebra 1

Total questions: 58

Worksheet time: 2hrs 13mins

Name
Class
Date
1.

 x+15=3x+15=3  

a)

18

b)

1/5

c)

-12

d)

45

2.

 18=n2018=\frac{n}{20}  

a)

9/10

b)

38

c)

-2

d)

360

3.

 6x2+4=146x-2+4=14  

a)

6

b)

-4

c)

2

d)

-6

4.

 331=7(75k)2-331=7\left(-7-5k\right)-2  

a)

8

b)

-14

c)

-7

d)

-9

5.

 3v4(7v+3)=167-3v-4\left(7v+3\right)=-167  

a)

8

b)

5

c)

-4

d)

14

6.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
7.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
8.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50
9.
4x + 3 < -1
a)
x < -1
b)
x < 1
c)
x < 2
d)
x > 4
10.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
11.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
12.
-138 ≥ -6(6b − 7)
a)
b ≤ 5
b)
b ≤ -5
c)
b ≥ 5
d)
b ≥ -5
13.
a − 6 ≤ 15 + 8a
a)
a ≤ -3
b)
a ≥ -3
c)
a ≤ 3
d)
a ≥ 3
14.

What is the domain of the relation shown in the graph above?

a)

{0, 1, 2, -2, 3}

b)

{-5, -2, 0, 1, 3 }

c)

{0, 2, -1, 3, 5}

d)

{-5, -2, 2,-1, 3}

15.
If f(x) = 3x - 7, find f(4).
a)
0
b)
5
c)
14
d)
19
16.
Which of the graphs shown does NOT represent a function?
a)
A
b)
B
c)
C
d)
D
17.
If g(x) = 2x2 - 4, find g(-2)
a)
-8
b)
-12
c)
4
d)
0
18.
If you were to plot the point (-2, -6) what would be the correct method?
a)
Down 2 , Left 6
b)
Left 6, Down 2
c)
Left 2, Down 6
d)
Left 2, Up 6
19.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
20.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
21.

What is the DOMIAN?

a)

-4 ≤ x ≤ 1

b)

-4 ≤ y ≤ 1

c)

-2 ≤ x ≤ 3

d)

-2 ≤ y ≤ 3

22.

What is the RANGE?

a)

0 ≤ x < 3

b)

0 < y ≤ 3

c)

-2 ≤ y < 1

d)

-2 ≤ y ≤ 1

23.

What is the DOMAIN?

a)

x ≤ 2

b)

x ≥ 2

c)

All Real Numbers

d)

-2 ≤ x ≤ 2

24.

What is the RANGE?

a)

y ≤ 2

b)

y ≥ 2

c)

All Real Numbers

d)

-2 ≤ y ≤ 2

25.

What is the DOMAIN?

a)

x < -3

b)

x > -3

c)

x > 1

d)

All Real Numbers

26.

Which of the following represent a line with a zero slope?

a)

x = 5

b)

y = 5

c)

x = 0

d)

all of the above

27.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
28.
Vertical or horizontal?
y = -6
a)
vertical 
b)
horizontal
c)
neither
29.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
30.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
31.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

32.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

33.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
34.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
35.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
36.

Graph

a)
b)
c)
d)
37.

Graph

a)
b)
c)
d)
38.

Solve the literal equation for the given variable.

a)

2Ah\frac{2A}{h}

b)

2h\frac{2}{h}

c)

2Ah2Ah

d)

Ah2\frac{Ah}{2}

39.

pV = nRT

solve for R

a)

R=pVnTR=\frac{pV}{nT}

b)

R=pn+VTR=\frac{p}{n}+\frac{V}{T}

c)

R=pVnTR=pV-nT

d)

R=(pVn)TR=\frac{(pV-n)}{T}

40.

Solve for y.

 243y=6x24-3y=6x  

a)

 y=2x8y=-2x-8  

b)

 y=2x+8y=2x+8  

c)

 y=2x+8y=-2x+8  

d)

 y=2x8y=2x-8  

41.

Solve for y.

 x5y=20x-5y=20  

a)

 y=15x4y=\frac{1}{5}x-4  

b)

 y=5x4y=5x-4  

c)

 y=5x+4y=-5x+4  

d)

 y=15x+4y=-\frac{1}{5}x+4  

42.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
43.
Solve:
8x + 4y = 16    ,  for     y
a)
y = -2x + 4
b)
y = 2x - 4
c)
y = 2x + 4
d)
y = -2x - 4
44.
Solve:
12x - 4y = 20  ,  for   y 
a)
y = 3x - 5
b)
y = -3x + 5
c)
y = -3x - 5
d)
y = 3x + 5
45.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
46.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

47.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
48.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 15 + 0.20x
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
49.

Let t represent treats.

a)

t+12.5020t+12.50≥20

b)

t+12.5020t+12.50\le20

c)

t+2012.50t+20≥12.50

d)

t12.50>20t-12.50>20

50.
a)

35h+2015035h+20\le150

b)

35h2015035h-20\le150

c)

20h+3515020h+35\le150

d)

20h3515020h-35\le150

51.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x  ≤ 12
52.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15 
c)
x ≤ 15
d)
x ≥ 15
53.

How many feet in a yard

a)

3

b)

2

c)

4

d)

6

54.

How many inches in a foot?

a)

12

b)

24

c)

36

d)

16

55.

How many feet in a mile?

a)

5280

b)

1826

c)

1250

d)

6289

56.

How many hours in a day?

a)

24

b)

60

c)

12

d)

36

57.

How many seconds in a minute?

a)

24

b)

60

c)

12

d)

36

58.

How many months in a year

a)

7

b)

5

c)

52

d)

12