Chapter 4 Test Review
Write an equation that represents the relationship shown in each table. Use the equation to
answer the question.
1. Claudia is jogging around her neighborhood. The table shows the distance Claudia travels during her
jog. Write an equation that represents the relationship shown in the table. How long will it take
Claudia to jog 5 miles?
Time (hours)
Distance (miles)
0
0
0.5
1.5
0.75
2.25
2. Juan leaves his home and rides his bike for 15 minutes to the park. After he gets to the park, he resets
his odometer to 0 and continues to ride at the same speed. The table shows the distance Juan traveled
at the park according to his odometer. Write an equation that represents the relationship shown in the
table. If it has been 1.5 hours since Juan left home, what is the distance he rode his bike at the park?
Time (hours)
Distance (miles)
0.25
0
0.5
1.25
0.75
2.5
Complete each table using the given equation. Use the table to graph the equation.
3. Joelle is ice skating around an ice rink. The equation d  0.5t represents the relationship between the
time Joelle skates in minutes, t, and the distance she skates in laps, d. Complete the table. Graph the
points on the grid.
Time (minutes)
Distance (laps)
0
10
20
15
4. Elesha and Jada are making greeting cards to send to the children’s hospital. Jada makes 2 cards
before Elesha arrives to help. The equation
represents the relationship between the time
Elesha and Jada make cards in hours, t, and the number of cards they make, c. Complete the table.
Graph the points on the grid.
Time (hours)
Number of Cards
0
0
0.5
1
Write an expression to represent each problem situation. Evaluate the expression to answer the
question.
5. Isabel is jogging 4 miles per hour. How long will it take her to jog 6 miles?
.
6. Darell is mowing lawns to save money for summer vacation. He can mow 1.5 lawns per hour. How
many lawns can he mow in 6 hours?
Write an expression to represent each problem situation.
7. Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 6 miles per hour. Raul
rides his bike 5 miles per hour. Write an expression that represents the distance that Geraldo and Raul
travel during the relay.
.
Write an equation to represent each problem situation. Solve the equation to answer the
question. Check your answer.
8. The expression 5x  6y represents the number of signs that Joelle and Mattie make for the basketball
game. They plan to take turns to make 25 signs. Let x equal the number of hours Joelle makes signs.
Let y equal the number of hours Mattie makes signs. If Joelle makes signs for 2 hours, how long must
Mattie make signs?
Complete each table using the equation in standard form to determine the x-intercept and
y-intercept. Calculate the slope. Graph the equation.
9.
x
y
0
0
Work
10.
x
y
0
0
Work
Convert each equation in standard form to slope-intercept form.
11.
.
12.
Identify each function displayed in each graph as an increasing function, a decreasing function,
or a constant function.
13.
Identify each interval of increase, the interval of decrease, and the constant interval as
appropriate for the function shown in each graph.
14.
Define variables and write an equation (or equations) to represent the problem situation. Graph
the equation (or equations).
15. Rita walks from home to the store at a rate of 6 feet per second. It takes her 10 minutes to walk to the
store. After arriving at the store, she stays for 30 minutes. Write an equation that represents Rita’s
distance from home. Graph the equation.
Write a piecewise function from each table or context.
16. Miles received a $50 gift card to an online music store from his aunt. He decided to spend a certain
amount each day to extend his enjoyment of the gift card. For the first three days, he set his limit for
$5 per day. Then, he was worried it wouldn’t last long enough at that rate, so he changed his limit to
$3 per day until he had $2 left. Then, he used the last $2 on the final day.
Graph each piecewise function from the table or context.
17. Kyle saved $4 a day for 30 days. Then, he spent $5 a day for 8 days. After that, he started saving
again at a rate of $3 a day for 22 days.
Variable Quantity
Upper Bound
Lower Bound
Interval
Days (x)
60
0
10
Money f(x)
150
0
25