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Systems of Equations

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Systems of Equations
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

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 • 5 pts

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

x+y=134
x+y=120

3x+3y=134
4x+3y=120

4x+3y=134
3x+3y=120

7xy=134
6xy=120

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rachel buys 3 tricycles and 4 bicycles for a total of $72. Joe bought 5 tricycles and 2 bicycles for $50.  Which system models this scenario?

3B + 4T = 72
2T + 5B = 50

3T + 4B = 72
5T + 2B = 50

3T + 4B = 50
5T + 2B = 72

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jon has a total of 25 quarters and dimes.  The amount of money he has is $5.65.  Which system models this scenario?

Q + D = 25
.25Q + .10D = 5.65

Q + D = 5.65
.25Q + .10D = 25

.25Q + .10D = 25
Q + D = 5.65

Tags

CCSS.HSA.CED.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A farmer grows corn and lettuce.  He plans to plant 455 rows this year.  The number of rows of corn will be 2.5 times the number of rows of lettuce.  Which system models this scenario?

L = 2.5C
C + L = 455

C + L = 2.5L
C + L = 455

C + L = 455
C = 2.5L

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A 100 point test consists of 2 point questions and 5 point questions. There were 44 total questions on the test. Which system models this scenario?

2X + 5Y = 100
X + Y = 44

X + Y = 100
2X + 5Y = 44

2X + 5Y = 100
X + Y = 100

X + Y = 44
2X + 5Y = 44

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Maggie bought 2 shirts and 2 sweaters and spent $86.  Mia bought 3 shirts and 1 sweater and spent $81.  Which system models this scenario?

2X + 2Y = 81
3X + Y = 86

2X + 2Y = 86
3X + Y = 81

X + Y = 86
X + Y = 81

2X + 2Y = 167
3X + Y = 167

Tags

CCSS.HSA.CED.A.3

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