5.8 Translating System of Equations Word Problems

5.8 Translating System of Equations Word Problems

9th - 12th Grade

22 Qs

quiz-placeholder

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5.8 Translating System of Equations Word Problems

5.8 Translating System of Equations Word Problems

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

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

+3

Standards-aligned

Created by

Brett Rosenthal

Used 2+ times

FREE Resource

22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Nancy went to the grocery story.  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

2.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

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

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

15 mins • 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.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
45 minutes

90 minutes

60 minutes

30 minutes

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

15 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.8.EE.C.8C

5.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL possible equations for the problem:

Matt bought 6 pens and 4 notebooks for $8.

Chance bought 5 pens and 8 notebooks for $9.

6p+4n=8

M=6p+4n

C=5p+8n

5p+8n=9

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL possible equations for the problem:

Tom and Ryan are brothers. The sum of their ages are 49. Tom is 5 years older than Ryan.

T+R=49

T=5+R

T=R-5

R=5+10

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?
S + A = 530
3S + 4A = 1740
S + A = 530
4S + 3A = 1740
S + A = 1740
3S + 4A = 530
S + A = 1740
4S + 3A = 530

Tags

CCSS.HSA.CED.A.3

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