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#5.2 Solving Systems of Linear Equations by Substitution

Authored by Stephanie DiBari

Mathematics

9th - 10th Grade

CCSS covered

Used 13+ times

#5.2 Solving Systems of Linear Equations by Substitution
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

To solve the system by substitution, which variable would you get alone first?

x in the top equation

x in the bottom equation

y in the top equation

y in the bottom equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

To solve the system by substitution, which variable would you get alone first?

x in the top equation

x in the bottom equation

y in the top equation

y in the bottom equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

To solve the system what should go in the parentheses?

 y=2x9y=-2x-9  

 6x5y=196x-5y=-19  

 2x9-2x-9  

 6x+196x+19  

 (y+9)2\frac{\left(y+9\right)}{2}  

 5x5x  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

To solve the system what should go in the parentheses?

 x+y=3-x+y=3  

 3x+y=13x+y=-1  

 3x+13x+1  

 13x-1-3x  

 x3x-3  

 x+3x+3  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which system has the solution (1, 4) ?

x+y=4x+y=4
xy=4x-y=4

x+y=5x+y=5
xy=3x-y=-3

x+y=3x+y=3
xy=4x-y=4

Tags

CCSS.HSA.REI.C.9

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A test is worth 100 points and has 36 questions. Multiple Choice are 2 points and Short Answer are 6 points. Which system could be used to solve this problem?

m+s=100m+s=100
2m+6s=362m+6s=36

m=s+36m=s+36
s=m+100s=m+100

m+s=36m+s=36
2m+6s=1002m+6s=100

ms=36ms=36
12ms=10012ms=100

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A theater earns $3640 from a show. They sold 148 premium tickets and 76 regular tickets. A premium ticket costs 3 times as much as a regular ticket. Which system can be used to find the price of each ticket?

 P=3RP=3R 
 148P+76R=3640148P+76R=3640 

 148P=3640148P=3640 
 76R=364076R=3640 

 P+R=3640P+R=3640 
 148P+76R=100148P+76R=100 

 R=3PR=3P 
 76P+148R=364076P+148R=3640 

Tags

CCSS.HSA.CED.A.3

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