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Algebra 1 Midterm Review

Total questions: 31

Worksheet time: 1hrs 17mins

Name
Class
Date
1.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
2.
18 + (6 – 2) × 2
a)
26
b)
29
c)
44
d)
40
3.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
4.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
5.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
6.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
7.
What is 19% of 50?
a)
9.5
b)
10
c)
15
d)
11
8.
75% of what number is 48?
a)
48
b)
100
c)
64
d)
75
9.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
10.
Solve for x:  x/4 = 6/8
a)
4
b)
2
c)
3
d)
10
11.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
12.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
13.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
14.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
15.
| x + 3 | ≤ 2
a)
No Solution
b)
All Real Numbers
c)
-5 ≤ x ≤ -1
d)
1 ≤ x ≤ 5
16.
| k - 3 | < -1
a)
No Solution
b)
All Real Numbers
c)
2 < k < 4
d)
k < 2  or  k > 4
17.
| x + 1 | ≥ 3
a)
No Solution
b)
All Real Numbers
c)
x ≤ -4  or  x ≥ 2
d)
-4 ≤ x ≤ 2
18.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
19.
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.
20.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
21.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
22.
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:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
23.

State the slope of the line.

a)

2/4

b)

1/2

c)

2/5

d)

1/3

24.

Find the slope of the line using the two points given.


(2, -3) (4, 7)

a)

5

b)

-5

c)

2/10

d)

-2/10

25.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
26.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
27.
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)
28.
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) 
29.

Slopes of parallel lines are......

a)

The same

b)

Different

c)

Opposite Reciprocals

d)

I don't know

30.

Find the line parallel to y = -4x + 3 and goes through the point (5,-2)

a)

y= -4x + 18

b)

y = -4x + 2

c)

y = -4x - 1

d)

y = -4x + 10

31.
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