Name:
Review for Unit B Test
1.
Solve the system of linear equations by graphing
Date:
Class: 𝑦 = −2𝑥 − 5 𝑦 =
1
2 𝑥 + 5
What is the solution to the system of equations?
_______________________
2.
Is (8,2) a solution point of the system of equations: 𝑦 =
1
2 𝑥 − 2 𝑦 = −𝑥 + 7
3.
The graph of a nonlinear function is shown on the coordinate plane. In the graph, y is a function of x .
a. When the input of the function is 0.5, what is the output of the function? b. When the input of the function is 1, what is the output of the function?
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Review for Unit B Test
4.
Equation A and equation B are shown below.
Equation A Equation B 𝑦 =
2
3 𝑥 + 4
The value for equation A is greater than the value for equation B
The value for equation
A is equal to the value for equation
B
The value for equation
A is less than the value for equation
B
Slope y
 intercept
5.
Which table represents a linear relationship between x and y ?
Put a check next to each table that applies. x y
1 -6
2 -4
3 -2
4 2 x
2 y
-3 5
-2 8
0 11
14 x y
-10 -5
-8 0
-6 5
-4 10 x
-2
2
4
10 y
0
-6
-9
-18
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Review for Unit B Test
6.
Use the graph pictured below to complete the following:
Part A: Is the graph linear? __________ Is the graph a function? __________
Part B: Complete the following table using the graph pictured above by inserting these intervals into the appropriate column in the table.
−7 < 𝑥 < −3 − 1 < 𝑥 < 1 3 < 𝑥 < 5
−3 < 𝑥 < −1 1 < 𝑥 < 3 5 < 𝑥 < 7
Intervals where the function is INCREASING
Intervals where the function is DECREASING
Intervals where the function is neither decreasing or increasing.
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Review for Unit B Test
Nonlinear
7.
A turtle and a hare are running a race. The table below shows the total number of kilometers traveled by the turtle at different times during the day.
Time
The equation below shows the number of kilometers, k, traveled by the hare after t hours k

6 t
Which statements about the turtle and the hare are true? Select all that apply.
A. The rate that the hare runs is twice the rate that the turtle runs.
B. The rate that the turtle runs is the same as the rate of the hare.
C. The rate that the turtle runs is
1
3
the rate that the hare runs.
D. The rate the turtle runs is half the rate that the hare runs.
8.
Classify each equation as defining a linear or nonlinear function of x .
Function 𝑦 = 𝑥
3 𝑦 = 3𝑥 2 + 8 y

1
2 x

1
4 y

( x

1 )
2 y

2 x y

2 x
3
Linear
10 a.m.
12 p.m.
2 p.m.
4 p.m
Distance
Traveled (km)
3
9
15
21
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Review for Unit B Test
9.
5

Review for Unit B Test
10.
A scatter plot is shown in the coordinate plane.
Two students drew the lines of best fit shown below. For each graph describe the error that the student made and draw an improved line of best fit on the right hand graph.
Error: Error:
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Review for Unit B Test
11.
Use the graph below to complete the information in the box below. x-intercept: ____________ y-intercept: ____________ equation: __________________
12.
The rates for renting a car or truck are shown on the graph below.
Which ordered pair is the solution to the system of equations? Write your answer in the box.
Solution:
What does the point of intersection represent? ______________________________________
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Review for Unit B Test
13.
Beatrice’s dog walking service charges $5.00 plus an additional $4.00 per mile for a walk. Candice’s dog walking service charges $3.00 plus an additional $5.00 per mile for a walk.
Write a system of linear equations that shows the cost in dollars, y , for a dog walk of x miles for each service.
Beatrice’s Candice’s:
14.
Pauline’s pool service needed to do repairs on the bottom of a pool. Unfortunately the pool was full of water and so they drained the water from the pool in order to perform the repairs. Pauline recorded the amounts, in gallons, of water remaining, y, after the pool had been draining for x hours. The equation of the line for her data is shown below. y
 
1000 x

30 , 000 a. How much water will be in the pool after 5 hours? b. About how much water does the pool hold? c. How many hours does it take to drain all the water? d. What is the slope in the equation and what does it represent?
15.
Draw a scatterplot with a negative correlation.
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Review for Unit B Test
16.
Amanda plans to visit the Food Truck Festival at Mercer County Park. She must pay for parking and admission and purchase tickets to eat at the trucks. If admission to the festival is $10 and parking is $5 and it costs $6.00 per ticket, write an equation Amanda could use to find the total cost for a day at the Food Truck Festival. Let C represent the total cost and n represent the number of tickets.
Equation: ____________________________________
17.
Use the given system of equations


 y y


3 x

4
2

1
4 x

3
to complete the following.
Part A: Graph and label the given system of equations on the coordinate grid shown below.
Part B: What is the solution to the system of equations? Write your answer in the box.
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Review for Unit B Test
18.
David’s parents give him $45 to spend at camp. David spends $4.00 on snacks each day.
Complete the table below to show the amount of money, in dollars, he has left at the end of each day.
Time (Days) 0 2 4 6 8
Amount Remaining ($)
Write an equation to represent the amount of money m Darrell has remaining after d days.
Write your answer in the box.
19.
Functions N and P are both linear functions.
Function N Function P
-3
3 x y
-12 -3
-9
-6
-2.5
-2
-1.5
-0.5
Which statement comparing the functions is true? Select all that apply
A. The slope of Function N is less than the slope of Function P.
B. The slope of Function N is greater than the slope of Function P.
C. The y-intercept of Function N is equal to the y-intercept of Function P.
D. The y-value when x
 
3 for Function N is greater than the y-value when x
Function P.
 
3 for
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Review for Unit B Test
20.
A. Find the slope of Function A which has a y-intercept of (0, -3) and an x-intercept of
(3,0).
B. Determine the rate of change for function B which is represented in the table below. x
4 y
8
5
7
10
14
C. Write an equation for a linear function that has a rate of change with a value between the rate of change of Function A and the rate of change (slope) of Function B.
21.
Show how to CALCULATE the slope of the two graphs below.
Graph A Graph B
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Review for Unit B Test
22.
Find the equation of the line that passes through the points given in each table below. a. x
3
6
9
12 -8
Y
-2
-4
-6 b. x Y
-3 -10
-1 -6
1
3
-2
2
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