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Solving Systems by Elimination

Authored by Barbara White

Mathematics

8th Grade

47 Questions

CCSS covered

Used 1+ times

Solving Systems by Elimination
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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use elimination to solve the system of equations.

3x – 2y = 24

x + 2y = 48

x = 18

y = 15

x = -18

y = -15

x = -18

y = 15

x = 18

y = -15

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Choose a method that can be used to solve this system of equations by elimination.


2x – 2y = 24

4x + 7y = –40

Subtract 2x from both equations and solve the first equation for y.

Multiply the first equation by –2 and add the second equation.

Add the first equation to the second equation and subtract 6x from both sides of the equation.

Subtract 7y from the second equation and add the first equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations?


2x + 3y = 26

3x + 5y = 40

x = 10, y = 2

x = -10, y = -2

x = -10, y = 2

x = 10, y = -2

Tags

CCSS.HSA.REI.C.9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6x + 2y = 14

5x – 2y = 8

One way to solve this system of equations using elimination is to add the two equations to get 11x = 22. Then substitute 2 for x into either equation to get y = 1

True

False

Both True and False

I don't have a clue.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60. Lin plays 3 rounds of mini golf and takes 6 turns in the batting cages for $45. Use two equations to find the price for each activity.

Mini golf costs $10.00 per round.

Batting cages cost $2.50 each turn.

Mini golf costs $2.50 per round.

Batting cages cost $10.00 each turn.

Mini golf costs $9.00 per round.

Batting cages cost $3.50 each turn.

Mini golf costs $4.00 per round.

Batting cages cost $6.50 each turn.

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

x - y = 11

2x + y = 19

(10,-1)

(-1,10)

(3,-4)

(6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

-6x + 5y = 1

6x + 4y = -10

(1,-1)

(0,-1)

(1,1)

(-1,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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