Two students used substitution to solve the following system of equations: y = x − 8 y=x-8 y = x − 8 5 x + 2 y = 19 5x+2y=19 5 x + 2 y = 1 9 To begin solving the problem, Student A wrote 5 ( x − 8 ) + 2 y = 19 5\left(x-8\right)+2y=19 5 ( x − 8 ) + 2 y = 1 9 and Student B wrote 5 x + 2 ( x − 8 ) = 19. 5x+2\left(x-8\right)=19. 5 x + 2 ( x − 8 ) = 1 9 . Which student substituted correctly?

Neither student substituted correctly

Which system of equations below accurately represents the system of equations shown on the graph?

3 y + x = 9 3y+x=9 3 y + x = 9 y = − 2 x − 2 y=-2x-2 y = − 2 x − 2

− 3 y − x = 9 -3y-x=9 − 3 y − x = 9 y = − 2 x + 2 y=-2x+2 y = − 2 x + 2

y = − x − 3 y=-x-3 y = − x − 3 2 y + 10 x = 2 2y+10x=2 2 y + 1 0 x = 2

3 y + x = 9 3y+x=9 3 y + x = 9 y = − 2 x + 2 y=-2x+2 y = − 2 x + 2

Which system of equations below accurately represents the system of equations shown on the graph?

y = x − 2 y=x-2 y = x − 2 − 6 x + y = 3 -6x+y=3 − 6 x + y = 3

y = x + 2 y=x+2 y = x + 2 6 x + y = 3 6x+y=3 6 x + y = 3

y = − x − 2 y=-x-2 y = − x − 2 − 6 y + x = 3 -6y+x=3 − 6 y + x = 3

y = − x − 2 y=-x-2 y = − x − 2 6 x + y = − 3 6x+y=-3 6 x + y = − 3

Which system of equations below accurately represents the system of equations shown on the graph?

y = 1 2 x − 2 y=\frac{1}{2}x-2 y = 2 1 x − 2 y = 3 x + 3 y=3x+3 y = 3 x + 3

y = 2 x − 2 y=2x-2 y = 2 x − 2 y = 3 x + 3 y=3x+3 y = 3 x + 3

y = − 1 2 x − 2 y=-\frac{1}{2}x-2 y = − 2 1 x − 2 y = 3 x − 3 y=3x-3 y = 3 x − 3

y = 1 2 x − 2 y=\frac{1}{2}x-2 y = 2 1 x − 2 y = 3 x − 3 y=3x-3 y = 3 x − 3

QUIZ 13: Solving Systems of Equations using Substitution

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

8.EE.C.8B, HSA.REI.C.6

Standards-aligned

Kirsten Snyder

Used 68+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations by substitution.
$x+y=44$
$y=10x$

(4, 40)

(-4, 40)

(40, 4)

(-40, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations by substitution.
$x+y=8$
$y=7x$

(1, 7)

(7, 1)

(-1, -7)

(-7, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations by substitution.
$y=3$
$-4x-4y=-24$

(-3, -6)

(-3, 6)

(3. 3)

(-3, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations by substitution.
$3x-7y=-22$
$y=4$

(2, 4)

(-4, 2)

(-4, -2)

(4, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations by substitution.
$2x-8y=4$
$y=2x-4$

No solution

(-6, 0)

(2, 0)

(3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations by substitution.
$2x+4y=18$
$y=-4x+8$

(-1, -4)

(1, -4)

(1, 4)

(-3, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the following system of equations, Student A says the solution is (7, -5); and Student B says the solution is (-7, -5). Which student is correct?
$2x+6y=-16$
$y=-3x+16$

Student A

Student B

Neither student is correct

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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QUIZ 13: Solving Systems of Equations using Substitution

20 questions

Solve the system of equations by substitution.
$x+y=44$
$y=10x$

Solve the system of equations by substitution.
$x+y=8$
$y=7x$

Solve the system of equations by substitution.
$y=3$
$-4x-4y=-24$

Solve the system of equations by substitution.
$3x-7y=-22$
$y=4$

Solve the system of equations by substitution.
$2x-8y=4$
$y=2x-4$

Solve the system of equations by substitution.
$2x+4y=18$
$y=-4x+8$

Given the following system of equations, Student A says the solution is (7, -5); and Student B says the solution is (-7, -5). Which student is correct?
$2x+6y=-16$
$y=-3x+16$

What is the X-VALUE in the (X, Y) solution to the following system of equations?
$-6x-2y=16$
$y=5x-8$

What is the Y-VALUE in the (X, Y) solution to the following system of equations?
$y=8x+10$
$2x+2y=-16$

Solve the system using substitution.
$y=7x-8$
$y=-6x+5$

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Discover more resources for Mathematics

QUIZ 13: Solving Systems of Equations using Substitution

20 questions

Solve the system of equations by substitution. x+y=44x+y=44x+y=44 y=10xy=10xy=10x

Solve the system of equations by substitution. x+y=8x+y=8x+y=8 y=7xy=7xy=7x

Solve the system of equations by substitution. y=3y=3y=3 −4x−4y=−24-4x-4y=-24−4x−4y=−24

Solve the system of equations by substitution. 3x−7y=−223x-7y=-223x−7y=−22 y=4y=4y=4

Solve the system of equations by substitution. 2x−8y=42x-8y=42x−8y=4 y=2x−4y=2x-4y=2x−4

Solve the system of equations by substitution. 2x+4y=182x+4y=182x+4y=18 y=−4x+8y=-4x+8y=−4x+8

Given the following system of equations, Student A says the solution is (7, -5); and Student B says the solution is (-7, -5). Which student is correct? 2x+6y=−162x+6y=-162x+6y=−16 y=−3x+16y=-3x+16y=−3x+16

What is the X-VALUE in the (X, Y) solution to the following system of equations? −6x−2y=16-6x-2y=16−6x−2y=16 y=5x−8y=5x-8y=5x−8

What is the Y-VALUE in the (X, Y) solution to the following system of equations? y=8x+10y=8x+10y=8x+10 2x+2y=−162x+2y=-162x+2y=−16

Solve the system using substitution. y=7x−8y=7x-8y=7x−8 y=−6x+5y=-6x+5y=−6x+5

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Solve the system of equations by substitution.
$x+y=44$
$y=10x$

Solve the system of equations by substitution.
$x+y=8$
$y=7x$

Solve the system of equations by substitution.
$y=3$
$-4x-4y=-24$

Solve the system of equations by substitution.
$3x-7y=-22$
$y=4$

Solve the system of equations by substitution.
$2x-8y=4$
$y=2x-4$

Solve the system of equations by substitution.
$2x+4y=18$
$y=-4x+8$

Given the following system of equations, Student A says the solution is (7, -5); and Student B says the solution is (-7, -5). Which student is correct?
$2x+6y=-16$
$y=-3x+16$

What is the X-VALUE in the (X, Y) solution to the following system of equations?
$-6x-2y=16$
$y=5x-8$

What is the Y-VALUE in the (X, Y) solution to the following system of equations?
$y=8x+10$
$2x+2y=-16$

Solve the system using substitution.
$y=7x-8$
$y=-6x+5$