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Systems of Equation Special Cases

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Systems of Equation Special Cases
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the system and determine the number of solutions it has. If it has one solution, name it.
-6x+y=6
-3x+y=6

No Solution

Infinitely Many Solutions

One Solution; (-1,0)

One Solution; (0,6)

Tags

CCSS.8.EE.C.8B

2.

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

same lines

Tags

CCSS.8.EE.C.8A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a system of equations has infinitely many solutions, what does the graph look like? 

intersecting lines

parallel lines

skew lines

same lines

Tags

CCSS.8.EE.C.8A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?

They have different slopes and different y-intercepts.

They have the same slopes and different y-intercepts.

They have the same slopes and the same y-intercepts.

They have different slopes and the same y-intercepts.

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

4y = 3x + 64

8y = x + 68

4y = 3x + 64

8y = x + 60

3x + 4y = 64

x + 8y = 68

3x + 4y = 64

x + 8y = 60

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

4y = 3x + 64

8y = x + 68

4y = 3x + 64

8y = x + 60

3x + 4y = 64

x + 8y = 68

3x + 4y = 64

x + 8y = 60

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

4y = 3x + 64

8y = x + 68

4y = 3x + 64

8y = x + 60

3x + 4y = 64

x + 8y = 68

3x + 4y = 64

x + 8y = 60

Tags

CCSS.HSA.CED.A.3

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