WorksheetsSemester Review Math 8
Total questions: 70
Worksheet time: 4hrs 49mins
Name
Class
Date
1.
(d4)(d5)
a)
2d4
b)
d9
c)
d2
d)
2d
2.
Simplify:
(5ab2)2
(5ab2)2
a)
25a2b4
b)
10a2b4
c)
5a2b4
d)
25ab2
3.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
According to exponent rules, when we divide the coefficients we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
6.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
7.
Simplify:
(7y4)2
(7y4)2
a)
7y6
b)
14y8
c)
14y6
d)
49y8
8.
a)
m4
b)
m6
c)
m10
d)
1/m6
9.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
10.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
11.
Find the slope of the line.
a)
Undefined
b)
0
c)
1/1
d)
-1/1
12.
Find the slope of the line.
a)
Undefined
b)
0
c)
1/1
d)
-1/1
13.
What type of slope does the following graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
14.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
15.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
16.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
17.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
18.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
19.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
20.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
21.
Graph x = 2
a)
A
b)
B
c)
C
d)
D
22.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
25.
What is the equation for this graph?
a)
y=1x+4
b)
y=4x+1
c)
y=2x+4
d)
y=-2x+4
24.
What is the y-intercept of the line graphed below?
a)
3
3
3
b)
4
c)
-3
d)
4/3
25.
What is the equation for this graph?
a)
y=1x+4
b)
y=4x+1
c)
y=2x+4
d)
y=-2x+4
26.
Write an equation in slope intercept form which goes through the points (-3, 0) and (0, -7).
a)
y= 7/3x - 7
b)
y=-3/7x - 7
c)
y= -7/3x - 7
d)
y= 3/7x -7
27.
Convert the following equation into slope-intercept form:
6x-2y=-12
6x-2y=-12
a)
y=-3x-6
b)
y=3x+6
c)
y=6x-3
d)
y=6x+3
28.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
29.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
30.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
31.
Which one of these is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
32.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
4 times a number increased by 5 is the same as 3 times the difference of a number and 2. Which of the following equations would find the number?
a)
4n + 5 = 3n - 2
b)
4n + 5 = 3(n - 2)
c)
4n+5 = 3(n + 2)
d)
4n + 5 = 3 - 2n
36.
Solve for x.
5x - 10 = x + 6
5x - 10 = x + 6
a)
No solution
b)
x = 1
c)
x = 2
d)
x = 4
37.
Gabby has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Gabby to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
38.
Pristine House Cleaners charges $19.85 plus $32 a room. Sparkle House Cleaners charges $61.85 plus $18 a room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same.
a)
4 Houses
b)
1/3 Houses
c)
3.5 Houses
d)
3 Houses
39.
You work for a delivery service. With plan A you can work $8 per hour plus 50 cents per delivery. With plan B, you can earn $12 an hour plus 25 cents per delivery. How many deliveries must you make per hour with plan A to earn the same amount as with plan B?
a)
26.66666 deliveries
b)
30 deliveries
c)
16 deliveries
d)
20 deliveries
40.
Solve:
4(-8x + 5) = -32x - 26
4(-8x + 5) = -32x - 26
a)
54
b)
-54
c)
all real numbers
d)
no solution
41.
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
42.
5(2x -1) = -5+ 10x
a)
x = 5
b)
x = 0
c)
all real numbers
d)
no solution
43.
What type of correlation does this scatter plot show?
a)
positive
b)
negative
c)
no correlation
d)
nonlinear association
44.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
45.
Which of the following could be a possible line of best fit for the data?
a)
y = -5/4x + 20
b)
y = -x + 19
c)
y = x + 20
d)
y = 2/3x + 15
46.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
47.
The solution is:
a)
(4, 3)
b)
(3, 4)
c)
(-4, 3)
d)
No solution
48.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
49.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
50.
Look at the number line.
Which point on the number line best represents √12 ?
Which point on the number line best represents √12 ?
a)
D
b)
E
c)
F
d)
G
51.
What is the slope of the line y= -4x + 10?
a)
10
b)
4
c)
-4
d)
-10
52.
What is the equation for the table?
a)
y=4x+3
b)
y=3x+4
c)
y=3x-4
d)
y=4
53.
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)
54.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
55.
What is the second step in solving the following equation?
-3x + 5 = 20
-3x + 5 = 20
a)
Subtract 5 from both sides
b)
Divide both sides by -3
c)
Divide both sides by 3
d)
add 3x to both sides
56.
Solve for x.
3x + 2 = 6x - 7
3x + 2 = 6x - 7
a)
x = 9
b)
x = 3
c)
x = -3
d)
x = 7
57.
Find the solution to the equation:
25 - 5a = -5( a - 4)
25 - 5a = -5( a - 4)
a)
a = 0
b)
a = 10
c)
No Solution
d)
Many Solutions
58.
What is the inverse operation you would use to solve:
6x = 36
6x = 36
a)
Multiply
b)
Divide
c)
Add
d)
Subtract
59.
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
60.
2/3(5x + 6) = 34
a)
51
b)
45
c)
8
d)
9
61.
30 + 6t = 11t
a)
3
b)
5
c)
6
d)
30
62.
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
63.
8w - 8 = -4x + 16
a)
8
b)
16
c)
24
d)
2
64.
Solve the equation
12x - 15 = 3(2x+3)
12x - 15 = 3(2x+3)
a)
x = 4
b)
x = -4
c)
x = 2
d)
x = -2
65.
Solve the equation
-8x - 8 +3(x - 2) = -3x + 2
-8x - 8 +3(x - 2) = -3x + 2
a)
x = -8
b)
x = 8
c)
x = 2
d)
x = -2
66.
Solve:
-7(z - 6) = -70
-7(z - 6) = -70
a)
16
b)
-16
c)
8
d)
-1/2
67.
Solve the equation
a)
14
b)
-14
c)
4
d)
-2
68.
Solve the following for the unknown: 0.2(x-8)=-4.2
a)
13
b)
-.24
c)
7
d)
-13
69.
Solve the following for x: 0.4x+1.6=-1.6x+53.2
a)
25.8
b)
-25.8
c)
27.4
d)
54.8
70.
Solve the following for n: -2/5(x+10)=3/5x
a)
4
b)
-20
c)
-9
d)
-4
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