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Algebra 1 Midterm Review

Total questions: 85

Worksheet time: 5hrs 1mins

Name
Class
Date
1.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
2.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
3.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1
a)
one
b)
no solutions
c)
infinite solutions
4.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
5.
Solve:
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
6.
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)
7.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
8.
Find an explicit formula for the sequence
-5, -25, -125, -625,...
a)
an = -20n + 15
b)
an = -5(5)n-1
c)
an = 5(-5)n-1
d)
an = -5n - 20
9.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating  decimal.
10.
Solve using PEMDAS.
6 - (16-4x4) = 
a)
17
b)
6
c)
12
d)
34
11.
Solve using Order of Operations. 
9(4 x 5) + 3 x 2
a)
209
b)
19
c)
186
d)
190
12.

3 + 23 - 8

a)

8

b)

1

c)

3

d)

-3

13.

-5x - 10 < -30

a)

x < 4

b)

x > 4

c)

x < 8

d)

x < -4

14.

(4x9)(5x-5)

a)

20x-45

b)

9x4

c)

9x-4

d)

20x4

15.

3b3(4b2 + 5b - 3c)

a)

12b5 + 15b3 - 9b3c

b)

12b6 + 15b4 - 9b3c

c)

12b5 + 15b4 - 9b3c

d)

12b5 + 15b4 + 9b3c

16.

What is the slope of the line x - 4y = 24?

a)

-6

b)

1/4

c)

-1/4

d)

4

e)

6

17.

Simplify Completely

a)
b)
c)
d)
18.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
19.
141 – (42 ÷ 4) ÷ 2 + 6 · 2   
a)
C. 144
b)
B. 141
c)
C. 151
20.
The temperature in the south is 20 degrees and is decreasing by 3 degrees each hour. The temperature in the north is -2 degrees and is increasing by 8 degrees each hour. How long until the temperatures are the same? 
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
21.
What is the slope of a line that is perpendicular to y= 1/2x -1?
a)
m=2
b)
m= 1/2
c)
m= -2
22.
Write the equation in slope-intercept form of a line that passes through (0, 3) and (2, 5).
a)
y= x+3
b)
y= -x-3
c)
y= 6x+3
23.
Solve the system of equations using substitution or elimination.
7x-2y=1 and 2y=x-1
a)
(1, 2)
b)
(0, -1/2)
c)
(-1, 0)
d)
(1/4, 3)
24.
What is the algebraic expression for                  "the sum of n and 9"?
a)
n - 9
b)
n + 9
c)
n/9
d)
9n
25.
the product of 34 and z 
a)
34/z
b)
z/34
c)
z X 34
d)
34 - z 
26.
six times the number of girls
Let g = number of girls
a)
6 + g
b)
6g
c)
g - 6
27.
What is the y-intercept in the equation?
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
28.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x - 3

29.

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

(2, -1), m = -3

a)

y - 1 = -3 (x + 2)

b)

y + 1 = -3 (x - 2)

c)

y - 2 = -3 (x + 1)

d)

y + 2 = -3 (x - 1)

30.

Write the equation in slope-intercept form.

y + 1 = 2(x - 2)

a)

y = 2x - 2

b)

y = 2x - 3

c)

y = 2x - 4

d)

y = 2x - 5

31.
(6x9y5)2
a)
6x18y10
b)
36x11y7
c)
6x11y7
d)
36x18y10
32.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
33.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
34.

Determine the slope of the line shown in the graph above.

a)

5

b)

−5

c)

0

d)

undefined

35.

Determine the slope of the line shown in the graph above.

a)

8

b)

−8

c)

0

d)

undefined

36.

Graph the following inequality: y > x − 4

a)
b)
c)
d)
37.

Given the graph of the following system of linear inequalities, which region should be shaded?

a)

1

b)

2

c)

3

d)

4

38.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

39.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
40.

Write the equation in standard form.
 12x+3y=6\frac{1}{2}x+3y=6  

a)

 x+6y=12x+6y=12  

b)

It is in standard form.

c)

 2x+12y=242x+12y=24  

d)

 3y+12x−6=03y+\frac{1}{2}x-6=0  

41.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
42.
Isolate the radius, r.
C = 2πr
a)
r = C/2π
b)
r = 2πC
c)
r = 2C/π
d)
r = πC/2
43.
Which of the following shows the correct solution to the inequality?
18 ≥ − 3(4x + 2)
a)
x ≤ -2
b)
x ≥ − 2
c)
x ≤ -1
d)
x ≥ − 1
44.

Which operation would you do first?

( 12 + 10 ÷ 10 · 14) − 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

45.

**Simplify.


2 [ (13 − 7)2 ÷ 3]

a)

24

b)

80

c)

8

d)

12

46.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
47.
Find the slope:
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
48.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
49.

What is the solution to the system of equations graphed below?

a)

No Solution

b)

Infinite Solutions

c)

One Solution: (3, 1)

d)

One Solution: (1, 3)

50.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
51.
Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
52.

Solve:

y = 7x + 9

2y + 2x = -14

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

53.

What is the simplified form of the expression below?


7x-8 ⋅ 6x3

a)
b)
c)
d)
54.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
55.
√100
a)
10
b)
200
c)
5
d)
25
56.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
57.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
58.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
59.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
60.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
61.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
62.
Given the line 2x-3y=9, write the equation of a line perpendicular to it that passes through the point (4, -1)
a)
y = -3/2x - 7
b)
y = 2/3x + 4
c)
y = 2/3x - 1
d)
y = -3/2x + 5
63.
What is the first step in graphing this line?
y=2x+1
a)
Draw a dot at 1 on the y-axis
b)
Draw a dot at 1 on the x-axis
c)
Draw a dot at the origin
d)
Draw a dot on 2 on the x-axis
64.
What is the slope of this line?
x=5
a)
0
b)
undefined
c)
positive
d)
negative
65.
What is the slope of this line?
y=-3
a)
0
b)
undefined
c)
positive
d)
negative
66.
What is the exponent form for 
6?
a)
60
b)
61
67.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
68.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
69.
a)

w-3

b)

w3

c)

w2

d)

w-13

70.
a)

3x-1y-5

b)

3x2y

c)

3xy5

d)

-3x3y7

71.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

a)

75

b)

76

c)

67

d)

77

72.
Simplify
a)
-1/6
b)
1/6
c)
6
d)
-6
73.
Simplify
a)
5/4
b)
4/5
c)
-4/5
d)
-4/5
74.
Simplify
a)
-1/125
b)
125
c)
-125
d)
1/125
75.

Simplify

a)

-1

b)

1/32

c)

-1/32

d)

1

76.

Simplify

a)

3.99

b)

1

c)

-1

d)

-3.99

77.
Simplify
a)
7a5/b3
b)
b3/7a5
c)
7b3/a-5
d)
7b3 /a5
78.

Simplify

a)

a3b2/4

b)

4a3/b2

c)

4/a3b2

d)

1/4a3b2

79.

Which expression represents "7 more than five times a number"?

a)

7+5x

b)

5(x+7)

c)

7(x+5)

d)

5x+7

80.
Simplify the expression.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
81.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
82.
Write in slope intercept form. 2x + y = 2
a)
y = -2x
b)
y= 2x + 2
c)
y= -2x + 2
d)
x = -2x + 2
83.
What is the slope of a line with the equation 3x - 5y = 7
a)
5/3
b)
-5/3
c)
3/5
d)
-3/5
84.
0 < x + 7 < 9
a)
-7<x   and   x<2
b)
-7<x   or   x<2
c)
-7>x   and   x>2
d)
-7>x  or   x>2
85.
Solve:  
3x + 2 < -4  or  4x + 4 > 24
a)
x < -2  or  x > 5 
b)
x < 2  or  x > 5
c)
x < -2  and  x > 5 
d)
x < 2  and  x > 5

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