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Algebra 1A Midterm Review

Total questions: 95

Worksheet time: 8hrs 55mins

Name
Class
Date
1.
The sum of seven and x
a)
7-x
b)
x-7
c)
7x
d)
7+x
2.
Product
The answer in...
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
3.
Less
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
4.
A letter that represents a number.
a)
Addition
b)
Expression
c)
Algebra
d)
Variable
5.
Five less than y
a)
5+y
b)
5y
c)
5-y
d)
y-5
6.
Quotient
The answer in...
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
7.
The product of five and w
a)
5+w
b)
5w
c)
w-5
d)
5-w
8.
The quotient of seven and w
a)
7/w
b)
7w
c)
w/7
d)
w7
9.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
10.
The total of m and n
a)
mn
b)
m/n
c)
m-n
d)
m+n
11.
The number h decreased by eight
a)
h-8
b)
8h
c)
h+8
d)
8-h
12.
Which operation is evaluated first?
7 - 8 + 23
a)
subtraction
b)
addition
13.
Which operation is evaluated first?
72 ÷ 9 x 4
a)
multiplication
b)
division
14.
Which expression is evaluated first?
(18 - 14)2 - 6 x 10
a)
18 - 14
b)
42
c)
6 x 10
d)
16 - 6
15.
Evaluate:
(32 - 23) ÷ 6
a)
9/6
b)
26/6
c)
4
d)
3
16.
Evaluate:
36 ÷ 32 + 5 ⋅ 6
a)
35
b)
60
c)
34
d)
54
17.
Evaluate:
81 - 6 + 24
a)
100
b)
50
c)
99
d)
51
18.
Evaluate:
100 - 25 x 4 + 17
a)
317
b)
117
c)
0
d)
17
19.
Evaluate:
(82 - 4) / 5
a)
12
b)
65
c)
12/5
d)
10
20.
Evaluate:
(72 + 51) ÷ (4 x 25)
a)
1
b)
0
c)
100
d)
2
21.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
22.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
23.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
24.
What is the proper range?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
25.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
26.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
27.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
28.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
29.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
30.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
31.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
32.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
33.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
34.
Which of the following graphs have a domain of -4<x≤6?
a)
A
b)
B
c)
C
d)
D
35.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
36.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
37.
Describe the end behavior of the graph.
a)
x →∞, y→∞ and x→∞, y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→0 and x→∞, y→⁻∞
38.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
39.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
40.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→2
d)
x →∞,y→2 and x→⁻∞, y→∞
41.

2v + v = 3-2v\ +\ v\ =\ 3  

a)

4

b)

5-5

c)

3-3

d)

5

42.

x+2+6=8x+2+6=8  

a)

0

b)

14

c)

8

d)

4

43.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

44.
x-3=10
a)
x=7
b)
x=10.3
c)
x=5
d)
x=13
45.
4x-3=17
a)
x=5
b)
x=20
c)
x=21
d)
x=4
46.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
47.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
48.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
49.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
50.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
51.
6 ( 2n + 5 ) = 66
a)
3
b)
5.08
c)
8
d)
432
52.
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
53.

What would be the correct setup for solving for X?

|X+3| = 5

a)

X+3= 5 and X+3= -5

b)

X+3= 5 ad X-3= 5

c)

X+3= -5 and X-3 = -5

d)

X+3= 5 and -X-3= -5

54.

What would be the correct way to write the problem before solving?

2|x-1|-6=4

a)

|x-1|=5

b)

x-1=5

c)

|x-1|=-5

d)

x-1=-5

55.

Solve for X

2|X+3|+3=1

a)

X= -4 and X= -2

b)

X=2 and X= -2

c)

X=0

d)

No Solution

56.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
57.
Solve |2x –3| + 5 =10.
a)
-1, 1
b)
-1, 4
c)
-1, -4
d)
1, 4
58.
Solve for x
l x−6 l + 4= 10
a)
x = 12 and x = 0
b)
x = 3 and x = -3
c)
x = -12 and x = 0
d)
No Solution
59.
Solve:
2/5 = x/35
a)
70
b)
10
c)
14
d)
5
60.
Solve:
15/h = 5/6
a)
18
b)
20
c)
4
d)
15
61.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
62.
 Solve.
a)
60
b)
24
c)
16
d)
12
63.
Solve the proportion
a)
144
b)
4
c)
6
d)
9
64.
Solve for x
a)
1/2
b)
25/8
c)
11
d)
53/4
65.
a)

x = 5

b)

x = 29

c)

x = 28

d)

x = 3/2

66.

z = mx   solve for xz\ =\ m-x\ \ \ solve\ for\ x  

a)

x = z  mx\ =\ z\ -\ m  

b)

x = z +mx\ =\ -z\ +m  

c)

x = z +mx\ =\ z\ +m  

d)

x = zmx\ =\ \frac{z}{m}  

67.

y= zx  solve for xy=\ \frac{z}{x}\ \ solve\ for\ x  

a)

x = yzx\ =\ \frac{y}{z}  

b)

x = zyx\ =\ \frac{z}{y}  

c)

x = yzx\ =\ yz  

d)

x = y  zx\ =\ y\ -\ z  

68.

g = 6x   solve for xg\ =\ 6x\ \ \ solve\ for\ x  

a)

x = g6 x\ =\ \frac{g}{6\ }  

b)

x = 6gx\ =\ \frac{6}{g}  

c)

x = g+6x\ =\ g+6  

d)

x = g6x\ =\ g-6  

69.


abc=dabc=d  Solve for a:

a)

a=bcda=bcd  

b)

a=bcda=\frac{bc}{d}  

c)

a=cbda=\frac{c}{bd}  

d)

a=dbca=\frac{d}{bc}  

70.


w=em+yw=em+y  Solve for y

a)

y=wemy=w-em  

b)

y=w+emy=w+em  

c)

y=wemy=\frac{w}{em}  

d)

y=wemy=wem  

71.

V=lwhV=lwh  solve for h

a)

h=Vlwh=Vlw  

b)

h=lVwh=\frac{l}{Vw}  

c)

h=Vlwh=\frac{V}{lw}  

d)

h=wlVh=\frac{w}{lV}  

72.

p=ax+gp=ax+g  Solve for x

a)

x=ap+gx=ap+g  

b)

x=pgax=\frac{p-g}{a}  

c)

x=p+gax=\frac{p+g}{a}  

d)

x=apgx=ap-g  

73.

V=πr2hV=\pi r^2h  solve for  π\pi  

a)

π=Vr2h\pi=Vr^2h  

b)

π=hVr2\pi=\frac{h}{Vr^2}  

c)

π=r2Vh\pi=\frac{r^2}{Vh}  

d)

π=Vr2h\pi=\frac{V}{r^2h}  

74.

A=2dy A=\frac{2d}{y}\  solve for d

a)

d=2Ayd=2Ay  

b)

d=y2Ad=\frac{y}{2A}  

c)

d=2Ayd=\frac{2A}{y}  

d)

d=Ay2d=\frac{Ay}{2}  

75.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
76.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
77.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
78.

What is the y-intercept of the line with the equation
y = 2x + 4y\ =\ -2x\ +\ 4  

a)

2-2  

b)

22  

c)

44  

d)

4-4  

79.

What is the slope of the line with the equation
y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

4-4  

80.

Write the equation of the graph in slope-intercept form

a)

y=2x4y=-2x-4

b)

y=2x  4y=2x\ -\ 4

c)

y=12x4y=\frac{1}{2}x-4

d)

y=12x4y=-\frac{1}{2}x-4

81.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
82.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
83.

Find the slope of the line through each pair of points.

(8, 4) and (2, 6).

a)

m = 1 3 m\ =\ -\frac{1}{\ 3\ }

b)

m =  1  3 m\ =\ \frac{\ 1\ }{\ 3\ }

c)

m = 1

d)

m = -1

84.
Find the slope of the line that passes through:
(5, -10) and (5, -4)
a)
undefined
b)

m = 0

c)

m = - 14/10

d)

m = 10/14

85.
Find the slope of the line that passes through:
(-2, 8) and (0, 8)
a)

m = 0

b)

m = -2

c)

m = 2

d)

m = 1/2

86.
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
87.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

88.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

a)

m = 23m\ =\ \frac{2}{3}

b)

m = 23m\ =\ -\frac{2}{3}

c)

m = 32m\ =\ -\frac{3}{2}

d)

m = 32m\ =\ \frac{3}{2}

89.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
90.
The line pictured has a(n) ______ slope.
a)
Undefined
b)
Zero
c)
Positive
d)
Negative
91.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

92.

What is the formula for finding slope?

a)

y=mx+by=mx+b

b)

Ax+By=CAx+By=C

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

93.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
94.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
95.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4