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Systems Elimination and Word Problems

Authored by Jodi Zeichner

Mathematics

8th - 11th Grade

CCSS covered

Used 23+ times

Systems Elimination and Word Problems
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16 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50  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

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

(10, 11)
(12, 9)
(11, 10)
(9, 12)

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30

(-7,1)
(2,-5)
(-2,5)
(7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

x - y = -10
x + y = -2
x = -2 
y = 5
x + y = -2
x - y = -10
x + y = -10
x - y = -2

Tags

CCSS.HSA.CED.A.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

x + y = 33
y = 2x - 3
x + y = 33
x = 2y - 3
x + y = 33
x = 3 - 2y
x + y = 3
x = 33 - 2y

Tags

CCSS.HSA.CED.A.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total.


To solve, I graphed:

x + y = 21

6x + 4y = 104


I got an intersection point at (10,11). What does that mean in context of the problem?

There are 10 adults and 11 children.

There are 11 adults and 10 children.

The adults are $10 and the children are $11.

There are 104 adults and 21 children.

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

5 mins • 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.HSA.CED.A.3

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