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Systems of Equation Word Problems Reversing Digits

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Systems of Equation Word Problems Reversing Digits
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16 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 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

2.

MULTIPLE CHOICE QUESTION

1 min • 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

3.

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

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which system of equations is correct?

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSA.CED.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

x + y = 561

45x + 52y = 12

x + y = 12

52x + 45y = 561

x + y = 12

45x + 52y = 561

x + y = 561

52x + 45y = 12

Tags

CCSS.HSA.CED.A.3

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

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