Your parents are thinking of switching phone plans. Plan 1 charges a $50 activation fee and $30 per month. Plan 2 charges a $10 activation fee and $50 per month. Which equations represent the phone plans?

1 : y = 30 x + 50 1:\ \ y\ =\ 30x\ +\ 50 1 : y = 3 0 x + 5 0 2 : y = 50 x + 10 2:\ \ y\ =\ 50x\ +\ 10 2 : y = 5 0 x + 1 0

1 : y = 50 x + 30 1:\ \ y\ =\ 50x\ +\ 30 1 : y = 5 0 x + 3 0 2 : y = 10 x + 50 2:\ \ y\ =\ 10x\ +\ 50 2 : y = 1 0 x + 5 0

1 : y = 50 x − 30 1:\ \ y\ =\ 50x\ -\ 30 1 : y = 5 0 x − 3 0 2 : y = 10 x − 50 2:\ \ y\ =\ 10x\ -\ 50 2 : y = 1 0 x − 5 0

1 : y = 30 x − 50 1:\ \ y\ =\ 30x\ -\ 50 1 : y = 3 0 x − 5 0 2 : y = 50 x − 10 2:\ \ y\ =\ 50x\ -\ 10 2 : y = 5 0 x − 1 0

Solving Systems of Equations Graphically

Authored by Cassandra Troncone

Mathematics

8th - 10th Grade

CCSS covered

Used 23+ times

Solving Systems of Equations Graphically

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12 questions

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MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ \frac{1}{2}x\ +\ 2$

$y\ =\ 2x\ -\ 1$

(2, 3)

(-2, 3)

Tags

CCSS.8.EE.C.8B

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 3x\ -\ 4$
$y\ =\ \frac{5}{3}x$

(2, 2)

(3, 5)

Tags

CCSS.8.EE.C.8B

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ x\ +\ 2$
$y\ =\ 2x\ +\ 1$

(1, 3)

(1, 0 )

Tags

CCSS.8.EE.C.8B

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

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

(2, -1)

(-2, -1)

Tags

CCSS.8.EE.C.8B

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 2x\ -\ 1$

$y\ =\ 2x\ +\ 3$

No solution

(4, 7)

Tags

CCSS.8.EE.C.8B

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ x\ -\ 2$
$y\ =\ -x\ +\ 4$

(-3, 1)

(3, 1)

Tags

CCSS.8.EE.C.8B

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 4x\ +\ 3$
$y\ =\ \frac{2}{3}x\ +\ 3$

(3, 1)

(0, 3)

Tags

CCSS.8.EE.C.8B

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 3x\ -\ 2$
$y\ =\ -2\ +\ 3x$

Infinitely Many Solutions

No Solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Gym A charges a $70 sign-up fee and an additional $20 per month. Gym B only charges a $10 sign-up fee, but charges a $40 monthly membership fee. What are the equations that represent each membership?

$A:\ \ y\ =\ 70x\ +\ 20$
$B:\ \ y\ =\ 10x\ +\ 40$

$A:\ \ y\ =\ 20x\ -\ 70$
$B:\ \ y\ =\ 40x\ -\ 10$

$A:\ \ y\ =\ 20x\ +\ 70$
$B:\ \ y\ =\ 40x\ +\ 10$

$A:\ \ y\ =\ 70x\ -\ 20$
$B:\ \ y\ =\ 10x\ -\ 40$

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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Solving Systems of Equations Graphically

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = 12x + 2y\ =\ \frac{1}{2}x\ +\ 2y = 21​x + 2 y = 2x − 1y\ =\ 2x\ -\ 1y = 2x − 1

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = 3x − 4y\ =\ 3x\ -\ 4y = 3x − 4 y = 53xy\ =\ \frac{5}{3}xy = 35​x

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = x + 2y\ =\ x\ +\ 2y = x + 2 y = 2x + 1y\ =\ 2x\ +\ 1y = 2x + 1

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = −32x + 2y\ =\ -\frac{3}{2}x\ +\ 2y = −23​x + 2 y = 12x − 2y\ =\ \frac{1}{2}x\ -\ 2y = 21​x − 2

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = 2x − 1y\ =\ 2x\ -\ 1y = 2x − 1 y = 2x + 3y\ =\ 2x\ +\ 3y = 2x + 3

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = x − 2y\ =\ x\ -\ 2y = x − 2 y = −x + 4y\ =\ -x\ +\ 4y = −x + 4

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = 4x + 3y\ =\ 4x\ +\ 3y = 4x + 3 y = 23x + 3y\ =\ \frac{2}{3}x\ +\ 3y = 32​x + 3

Select the graph that matches the system of equations. AND, select the correct solution to the system. y = 3x − 2y\ =\ 3x\ -\ 2y = 3x − 2 y = −2 + 3xy\ =\ -2\ +\ 3xy = −2 + 3x

Gym A charges a $70 sign-up fee and an additional $20 per month. Gym B only charges a $10 sign-up fee, but charges a $40 monthly membership fee. What are the equations that represent each membership?

Using the equations that represent the gym memberships, which graph AND solution is correct? Select all that apply.

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Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ \frac{1}{2}x\ +\ 2$

$y\ =\ 2x\ -\ 1$

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 3x\ -\ 4$
$y\ =\ \frac{5}{3}x$

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ x\ +\ 2$
$y\ =\ 2x\ +\ 1$

Select the graph that matches the system of equations. AND, select the correct solution to the system.

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

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 2x\ -\ 1$

$y\ =\ 2x\ +\ 3$

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ x\ -\ 2$
$y\ =\ -x\ +\ 4$

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 4x\ +\ 3$
$y\ =\ \frac{2}{3}x\ +\ 3$

Select the graph that matches the system of equations. AND, select the correct solution to the system.

$y\ =\ 3x\ -\ 2$
$y\ =\ -2\ +\ 3x$