Mastering Linear Equations: Real-World Word Problems
Quiz
•
English, Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the slope of this equation?
1.00
0.20
0.50
0.10
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gardener is planting flowers in a straight line. If he plants 5 flowers in 2 hours, how many flowers will he plant in 8 hours? Write a linear equation to represent the number of flowers (f) planted in terms of time (t) and find the slope.
15 flowers
25 flowers
10 flowers
20 flowers
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone plan costs $30 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) based on the number of text messages (m) sent. What does the slope represent in this context?
C = 30m + 0.10; the slope represents the total monthly cost.
C = 0.10m; the slope represents the total number of messages sent.
C = 30 + 0.10m; the slope (0.10) represents the cost per text message.
C = 30 + 0.05m; the slope represents the base cost of the plan.
Tags
CCSS.HSF.LE.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A train travels at a constant speed of 60 miles per hour. Write a linear equation that represents the distance (d) traveled in terms of time (t) in hours. What is the slope of this equation?
d = 60t + 10; slope = 60
d = 45t; slope = 45
d = 30t; slope = 30
d = 60t; slope = 60
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cyclist rides 15 miles in 1 hour. If he continues at the same speed, how far will he ride in 4 hours? Write a linear equation for distance (d) in terms of time (t) and find the slope.
30 miles
60 miles
45 miles
75 miles
Tags
CCSS.8.EE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a base fee of $10 plus $1.50 per mile. Write a linear equation for the total charge (C) based on the number of miles (m) driven. What does the slope indicate?
C = 10 + 1.5m; The slope indicates the charge per mile.
C = 10 + 0.5m; The slope indicates the total cost of delivery.
C = 10 + 2m; The slope indicates the total distance traveled.
C = 5 + 1.5m; The slope indicates the base fee.
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A factory produces 100 toys in 5 hours. If production continues at the same rate, how many toys will be produced in 10 hours? Write a linear equation for toys produced (T) in terms of hours (h) and find the slope.
150 toys
250 toys
200 toys
300 toys
Tags
CCSS.8.EE.B.5
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