Systems Word Problem

Systems Word Problem

9th Grade

9 Qs

quiz-placeholder

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Systems Word Problem

Systems Word Problem

Assessment

Quiz

Mathematics

9th Grade

Hard

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

Standards-aligned

Created by

Anthony Clark

FREE Resource

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Your family goes to The Stanford restaurant for dinner. There are people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

x + y = 6
14.80x + 17y = 91

x + y = 91
14.80x + 17y = 6

x + y = 6
14.80y + 17x = 91

x + y = 91
14.80x+ 17y = 6

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Nancy went to Ramey's to buy groceries.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

4x + 6y = 3
13.5x - 13y = 6

x + y = 4
x - y = 6

4x + 6y = 13
3x + 7y = 13.5

4x - 6y = 13
3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Last season two running backs on the WCHS 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

Tags

CCSS.8.EE.C.8C

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A large pizza at Pizzi Inn 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

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

5q + 2z = 1.32
1z = 0.75

5q + 2z = 1.32
3q + 1z = 0.75

q + z = 1.32
q + z = 0.75

5q + 2z = 0.75
3q + 1z = 1.32

Tags

CCSS.HSA.CED.A.3

8.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The WCHS choral group 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

Tags

CCSS.HSA.CED.A.3

9.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

3x + 2y = 315

2x + 4y = 450

3x + 2y = 450

2x + 4y = 315

2x + 2y = 315

3x + 4y = 450

3x - 2y = 315

2x - 4y = 450

Tags

CCSS.8.EE.C.8C