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WorksheetsAlgebra 1 Final Exam
Total questions: 50
Worksheet time: 2hrs 42mins
Name
Class
Date
1.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
2.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
3.
Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
a)
The student found an incorrect common denominator
b)
The student did not multiply all terms by the common denominator
c)
The student did not use opposite operations appropriately
d)
The student did not correctly eliminate the variable from one side of the equation
4.
2/3(5x + 6) = 34
a)
51
b)
45
c)
8
d)
9
5.
Solve for y:
8x + 4y= 16
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
6.
4x + 3y = 9 Slope-intercept form:
a)
y = − 3/4 x + 3
b)
y = − 4 /3 x + 9
c)
y = − 4 /3 x + 3
d)
y = − 4 /3 x + 6
7.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
8.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
9.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
10.
Solve for x and y
5x + 3y = 7
y = 4
5x + 3y = 7
y = 4
a)
(4,1)
b)
(4,-1)
c)
(1,4)
d)
(-1,4)
11.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
12.
Solve:
y = 2x -11
-3y = -6x -15
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
13.
4x - 2y = 7
x + 2y = 3
What are x and y?
x + 2y = 3
What are x and y?
a)
x = 2, y = 2
b)
x = 1/2, y = 2
c)
x = 2, y = 1/2
d)
x = 2, y = -2
14.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
15.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
16.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
17.
Find the slope of the line that passes through
(-2, 8) and (0, 8)
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
18.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
19.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
20.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
21.
You put your money into a savings account that earns 8% interest compounded annually. If you originally invested $1,240, how much is in your account after 2 years?
a)
$1,438.40
b)
$1297.94
c)
$1,446.34
d)
$4017.60
22.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
23.
What is the balance of $6000 compounded annually at a rate of 4% for 10 years?
a)
$8,881.47
b)
$7,432.93
c)
$8,400
d)
$6,500
24.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
25.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
26.
The area of a rectangle is (x2 + 17x+42) ft2. If its width is (x + 3) ft. What is its length?
a)
(x + 17) ft
b)
(x + 14) ft
c)
(x - 14) ft
d)
(x - 17) ft
27.
Factor completely: 3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
28.
Factor Completely: 3x² - 4x + 1
a)
(4x - 1) (x + 1)
b)
(2x - 1) (2x + 1)
c)
(4x + 1) (x -1)
d)
(2x - 1)²
29.
Factor Completely: 2x² + x - 6
a)
(x + 2) (2x -3)
b)
(x - 6) (2x + 1)
c)
(x + 1) (2x - 6)
d)
(x - 2) (2x + 3)
30.
Factor Completely: 9x² - 49
a)
(3x + 7)(3x + 7)
b)
(3x + 7)(3x - 7)
c)
(3x - 7)(3x - 7)
d)
Prime
31.
Solve
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
32.
Solve
2x2 + 17x + 21 = 0
2x2 + 17x + 21 = 0
a)
x= -21/2, -17
b)
x= 2/3, 16
c)
x=-7, -3/2
d)
x=15, -3/7
33.
Solve
x2 + 13x + 12 = 0
x2 + 13x + 12 = 0
a)
x = -12, -1
b)
x = 12, 1
c)
x = 13, 1
d)
x = -13, -1
34.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
35.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
36.
b2 would equal: y = 2x2 -x -3
a)
2
b)
-1
c)
1
d)
-3
37.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
38.
7 is less than a number.
a)
x > 7
b)
x < 7
c)
x ≤ 7
d)
x ≥ 7
39.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
Closed
40.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
41.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
42.
The heights of some students are given.
158cm 172cm 164cm
164cm 167cm 159cm
What is the range of the heights?
158cm 172cm 164cm
164cm 167cm 159cm
What is the range of the heights?
a)
13cm
b)
14cm
c)
164cm
d)
330cm
43.
Find the Interquartile range of the data.
22, 76, 38, 24, 42, 56, 48, 34, 68
22, 76, 38, 24, 42, 56, 48, 34, 68
a)
30
b)
14
c)
15.5
d)
15
44.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
45.
Another name for Quartile 1 is
a)
Median of the Lower Half
b)
Median of the Upper Half
c)
Median
d)
Minimum
46.
Another name for Quartile 3 is
a)
Median of Lower Half
b)
Median of Upper Half
c)
Maximum
d)
Median
47.
Determine the mean absolute deviation of the data.
9, 7, 11, 10, 8
9, 7, 11, 10, 8
a)
9
b)
6
c)
1.2
d)
5
48.
Simplify √72
a)
7√9
b)
4√6
c)
6√2
d)
3√4
49.
Simplify √36n4
a)
6n
b)
6n⁴
c)
6n²√2
d)
6n²
50.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
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