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8th Grade Expressions, Equations, and Functions Review

Total questions: 20

Worksheet time: 2hrs 46mins

Name
Class
Date
1.
What appears to be the solution to the system of equations shown in the graph below?
a)
(-4,-2)
b)
(-1,6)
c)
(-2,-6)
d)
(4,8)
2.
The average depth of an ocean is approximately 1.2 × 104 feet. How is this depth written in standard form?
a)
120 feet
b)
1,200 feet
c)
12,000 feet
d)
120,000 feet
3.
Which equation is equivalent to 
12(4x-5)=18?
a)
4x-5=6
b)
4x-5=30
c)
48x+60=18
d)
48x-60=18
4.
Evaluate:
34 x 3-2
a)
1/3
b)
3
c)
9
d)
1/9
5.
Which fraction is equivalent to 3-3?
a)
-1/9
b)
-1/27
c)
1/27
d)
1/9
6.
Barnard’s Star is approximately 35,133 billion miles from Earth. What is 35,133 billion in scientific notation?
a)
3.5113x109
b)
35.113x1013
c)
3.5113x1013
d)
3.5113x1010
7.
Solve
a)
125
b)
5
c)
1/5
d)
625
8.
What is the value of
73 / 74 ?
a)
7
b)
823,543
c)
1/7
d)
-7
9.
The number √10 can be represented by which model?
a)
The perimeter of a square with an area of 100 square units
b)
The side of a square with a perimeter of 10 units
c)
The perimeter of a square with sides of √10 / 4 in length
d)
The side of a square with an area of 10 square units
10.
Solve
a)
-0.44x101
b)
7.975x101
c)
-0.44x105
d)
7.975x105
11.
If the area of a square is 144 inches, what is the length of each side?
a)
12 inches
b)
16 inches
c)
32 inches
d)
76 inches
12.
The graph shows that the price of bananas depends on the number of pounds purchased.  What is the unit rate for this data?
a)
$5 per pound
b)
$1.25 per pound
c)
$1.00 per pound
d)
$0.80 per pound
13.
What is the equation of this line?
a)
y= 3x+1
b)
y= -x+3
c)
y= 1/3x-1
d)
y= -1/3x+1
14.
The graph shows the speed of 2 cars.  The speed of the blue car is 30 miles per hour.  Based on this graph, what is the best estimate of the speed of the red car?
a)
20mph
b)
30mph
c)
45mph
d)
60mph
15.
What is the value of y in the following system of equations:
y=2x
y=4x-8
a)
0
b)
4
c)
8
d)
10
16.
Kelvin has 36 coins, all nickels and quarters. The total value of all these coins is $3.80. How many nickels does he have?
a)
10
b)
16
c)
18
d)
26
17.
Which statement regarding the number of solutions for the linear equation is true?
a)
There is exactly one solution
b)
There are no solutions
c)
There are infinite solutions
d)
There are exactly two solutions
18.
What is the solution of the following system?  (The intersection)
a)
(-0.5,8.5)
b)
(-0.5,0.5)
c)
(0,4)
d)
(2,-14)
19.
The equation y=50x+30 represents the amount of money, y, in Amy’s savings account over time, x. The equation y=30x+50 represents the amount in Sally’s savings account. How does the graph of Sally’s account differ from the graph of Amy’s account?
a)
The graph representing Sally’s account starts lower on the y-axis.
b)
The graph representing Sally’s account starts closer to the origin.
c)
The graph representing Sally’s account is steeper.
d)
The graph representing Sally’s account is flatter.
20.
The points (–3, –5), (0, 4), and (3, 13) lie on the same line. Which equation describes the function for that line?
a)
y=2x+1
b)
y = 3x + 4
c)
y = x + 4
d)
y = x + –2