Adult and student tickets were sold for a school concert. The adult tickets cost $12 each, and the student tickets cost $8 each. If a total of 360 tickets were sold for $3,480, how many of each kind of ticket were sold?

150 adult tickets and 210 student tickets

300 adult tickets and 60 student tickets

200 adult tickets and 160 student tickets

180 adult tickets and 180 student tickets

Write an equation that describes the function shown by the table.

y = 1 5 x y=\frac{1}{5}x y = 5 1 x

y = − 1 5 x y=-\frac{1}{5}x y = − 5 1 x

Use the graph to write a linear function that relates y to x.

y = − 2 x + 2 y=-2x+2 y = − 2 x + 2

y = 2 x − 2 y=2x-2 y = 2 x − 2

y = − 2 x − 2 y=-2x-2 y = − 2 x − 2

The graph shows the water usage for a business. Describe the change in usage from July to December.

The usage decreases at a decreasing rate.

What is the first step in solving this system? Check all that apply. 6 x − y = 2 6x-y=2 6 x − y = 2 − 3 x − 6 y = 12 -3x-6y=12 − 3 x − 6 y = 1 2

Multiply the bottom equation by 2

Multiply the top equation by -6

set the equations equal to each other

What is the first step in solving a system by Substitution?

Make sure at least one equation is solved for one variable.

Make sure both equations are in standard form.

Make sure both equations are in slope-intercept form.

Make sure both equations can be solved.

How can you tell if a point is a solution to a system?

The (x,y) coordinates satisfy both equations

It makes the first equation true.

It makes neither equation negative

What is the best technique to solve this system? x = − 3 y − 8 x=-3y-8 x = − 3 y − 8 x − 2 y = − 3 x-2y=-3 x − 2 y = − 3

Elimination without Manipulation

Question Bank for Grade 8 Mathematics

Authored by James Flowers

Mathematics

8th Grade

8 covered

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112 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a systems of equations?

y = 3x - 4

y = 4

y = 1/2x + 7
4x - 5y = 22

3x + 2
6x - 4y

Tags

8.EE.C.8.a

8.EE.C.8.b

8.EE.C.8.c

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the simplest way to solve this systems of equations?
5x+6y= -10
3x-6y= -6

Graphing

Substitution

Elimination - Addition Method

Elimination - Subtraction Method

Tags

8.EE.C.8.a

8.EE.C.8.b

8.EE.C.8.c

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Infinitely Many Solutions

No Solution

One Solution

Tags

8.EE.C.8.c

8.EE.C.8.b

8.EE.C.8.a

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is (9,5) a solution of the system of linear equations?
-9x + y = -76
x + y = 4

Yes

Tags

8.EE.C.8.a

8.EE.C.8.b

8.EE.C.8.c

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does this system have one solution, no solution, or an infinite number of solutions?

4x + 3y = 7
32x + 24y = 2

One Solution

No Solution

Infinitely many solutions

Tags

8.EE.C.8.a

8.EE.C.8.b

8.EE.C.8.c

FILL IN THE BLANK QUESTION

5 mins • 1 pt

What is the solution to this system?
y = 2x + 1
y = 4x - 1

(a)

Tags

8.EE.C.8.a

8.EE.C.8.b

8.EE.C.8.c

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

This is a system so the graph is stating there are two line right on top of one another.

Infinitely Many Solutions

No Solution

One Solution

Tags

8.EE.C.8.a

8.EE.C.8.b

8.EE.C.8.c

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Question Bank for Grade 8 Mathematics

Which of the following is a systems of equations?

What is the simplest way to solve this systems of equations?
5x+6y= -10
3x-6y= -6

Is (9,5) a solution of the system of linear equations?
-9x + y = -76
x + y = 4

Does this system have one solution, no solution, or an infinite number of solutions?

4x + 3y = 7
32x + 24y = 2

What is the solution to this system?
y = 2x + 1
y = 4x - 1

(a)

This is a system so the graph is stating there are two line right on top of one another.

What is the simplest way to solve this systems of equations?
-4x + 9y = 28
-4x - y = -28

Solve for x and y
3x + 2y = 16
7x + y = 19

(a)

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Discover more resources for Mathematics

Question Bank for Grade 8 Mathematics

Which of the following is a systems of equations?

What is the simplest way to solve this systems of equations?5x+6y= -103x-6y= -6

Is ​(9​,5​) a solution of the system of linear​ equations? -9x + y = -76x + y = 4

Does this system have one​ solution, no​ solution, or an infinite number of​ solutions?4x + 3y = 732x + 24y = 2

What is the solution to this system?y = 2x + 1y = 4x - 1 (a)

This is a system so the graph is stating there are two line right on top of one another.

What is the simplest way to solve this systems of equations?-4x + 9y = 28-4x - y = -28

Solve for x and y 3x + 2y = 16 7x + y = 19 (a)

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Discover more resources for Mathematics

What is the simplest way to solve this systems of equations?
5x+6y= -10
3x-6y= -6

Is (9,5) a solution of the system of linear equations?
-9x + y = -76
x + y = 4

Does this system have one solution, no solution, or an infinite number of solutions?

4x + 3y = 7
32x + 24y = 2

What is the solution to this system?
y = 2x + 1
y = 4x - 1

(a)

What is the simplest way to solve this systems of equations?
-4x + 9y = 28
-4x - y = -28

Solve for x and y
3x + 2y = 16
7x + y = 19

(a)