Systems of Equations Word Problems

Presentation

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Mathematics

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8th - 9th Grade

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Practice Problem

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Medium

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CCSS

8.EE.C.8B, 8.EE.C.8C, HSA.CED.A.3

Standards-aligned

Rob Mancuso

Used 237+ times

FREE Resource

2 Slides • 9 Questions

Systems of Equations Word Problems

Graphing Systems Word Problems

Read the text (then re-read the text)
Write a Let Statement
Set up two (2) equations
Graph both equations on the same coordinate plane (you may need to use the table on your calculator for this)
Look for the intersection point
Answer the question

Multiple Choice

What is the solution to this system of equations?

(1,4)

(4,1)

(3,5)

(-1, 4)

Multiple Choice

Match the system of linear equations to the corresponding graph.

y=2x-5

y=-\frac{3}{2}x+2

Multiple Choice

What is the solution to the system of linear equations?

(0, 2)

(-2, -2)

(0, 1)

(2, 0)

Multiple Choice

What is the solution to the system of linear equations?

(2, 5)

(3, 3)

(-3, -3)

(-2, -1)

Multiple Choice

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

y = 6.80 + .65x
y=7.30+.90x

x + y = 6.80
x + y = 7.30

y = 6.80+.90x
y = 7.30 + .65x

y + .90x = 6.80
y + .65x = 7.30

Multiple Choice

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

10c + 5d = 14.25
5c + 10d = 16.50

10c + 5d = 16.50
5c + 10d = 14.25

c + d = 10
5c + 10d = 16.50

c + d = 5
5c + 10d = 16.50

Multiple Choice

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

d + n = 6.60
.10d + .05n = 80

d + n = 80
d + n = 6.60

d + n = 80
.10d + .05n = 6.60

d + n = 80
.05d + .10n = 6.60

Multiple Choice

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

x + y = 1550

y = 4x

x + y = 1550

y = x + 4

y - x = 1550

y = 4x

y = 1550 + x

y = x + 4

Multiple Choice

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38

2s + 3c = 52

3s + 1c = 38

3s + 2c = 52

s + c = 38

s + c = 52

3s + 3c = 38

1s + 2c = 52

Systems of Equations Word Problems

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