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Systems of Equations Estimating

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Systems of Equations Estimating
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17 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 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

2.

MULTIPLE CHOICE QUESTION

1 min • 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.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

45 minutes

90 minutes
2x + 4y = 315

60 minutes
3x + 4y = 450

30 minutes

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

skew lines

intersecting lines

Tags

CCSS.8.EE.C.8A

4.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

y = 9.65 + x
y = 8.40 + x

y = 9.65x + 43
y = 8.40x + 58

y =9.65x
y = 8.40x

y = 9.65x - 43
y = 8.40x - 58

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x and y
y = 2x + 1
y = 4x - 1

(1,3)

(-1,-3)

(-1,3)

(3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

(3,1)

(1,3)

(-3,1)

(3,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

________________ is a set of two or more equations that have the same variables.

solution of a system

elimination method

system of equations

table

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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