Download Name: Date: 8th Grade Review Benchmark #3 Solve for x. A

Name: ____________________________________________________________________ Date:__________________
8th Grade Review
Benchmark #3
1. Solve for x. 5(4 − 2𝑥) = 2(10 − 4𝑥)
2. A relationship between x and y is defined by equation 𝑦 = 2𝑥 − 5 where x is the input and y is the output.
Which statements about the relationship are true? Circle all that are true.
a. y is a function of x.
b. The graph of the relationship is a line.
c. When the input is -1, the output is 4.
d. When the input is 4, the output is 3.
e. The y-intercept of the relationship is (0,5).
3. When the input to a function is -5, the output is 8. Which statement about this function must be true?
a. An input of -5 has infinitely many possible outputs.
b. An input of -5 has exactly one possible output.
c. An input of 8 has infinitely many inputs.
d. An output of 8 has exactly one input.
4. The graph of a nonlinear function is shown on the coordinate plane.
In the graph, y is a function of x. When the input of the function is 2, what is the output of the function?
a. 0
b. 5
c. 10
d. 15
5. The graph shows y as a function of x.
For each interval in the table, indicate whether the function is increasing, decreasing, or neither increasing or
decreasing over the interval. Check off all that apply.
Interval
Increase
-1<x<1
1<x<4
4<x<5
6. Solve for x.
1
(9𝑥
3
1
− 6) + 4𝑥 = −3 (3 𝑥 + 12)
Decrease
Neither Increase or
Decrease
7. Two different function relationships are represented by the equation and the table.
Function A
y = 3x + 6
Function B
x
-2
0
4
5
y
1
6
16
18.5
a. What is the rate of change for Function A?
b. What is the rate of change for Function B?
c. Choose True or False for each statement below.
Statement
The y-intercept of both functions is the same.
The rate of change for Function A is greater than the rate of change
for Function B.
The difference between the two rates of change is 2.5.
7. Functions A, B, and C are linear functions.
Function A
Function B
Defined by 𝑦 = 2/3𝑥 + 5
x
y
4
8
8
6
10
5
True
False
Function C
Contains the points (-1,10) & (-3,2)
Order the linear functions based on rate of change, from least to greatest.
8. Write a system of equations to represent the following problems. Then, solve the system of equations and write your
answer on the line.
A math test has 25 problems. Some are worth 2 points, and some are worth 3 points. The test is worth 60 points
total. Write and solve a system of equations to determine how many 2 point and 3 point problems there are.
9. Solve each system using ANY METHOD.
a. 2x + y = 6
b. y = 2x – 2
x – 5y = 3
-2x + y = 1
10. Write each of the following in scientific notation.
a. 26,800,000
b. .000092
c. 311 × 102
d. . 0016 × 104
11. Simplify each problem and express the answer in scientific notation.
a. (6.4 × 104 ) + (2.8 × 107 )
b. (4 × 10−8 )(7 × 10−5 )
**This practice sheet does not cover all topics. Make sure to check topic list and practice on your own.