Mixed Review: Functions and Systems

Question 1

Solve the system: y = -2x + 2 and x + y = 3.

Accepted Answer

(-1, 4)

Answer

(4, -1)

Answer

(-1, 2)

Answer

(1, 4)

Question 2

Each arrow in the diagram joins a value on the left to the value it is paired with on the right. Does the diagram show a function?

Accepted Answer

No, because one input is paired with two different outputs

Answer

Yes, because every output comes from exactly one input

Answer

Yes, because all four outputs are different numbers

Answer

No, because two inputs are paired with the same output

Question 3

How many solutions does this system have: y = 5x + 3 and y = 5x + 5?

Accepted Answer

no solution

Answer

infinitely many solutions

Answer

exactly one solution

Question 4

Solve the system: y = 2x - 4 and x + y = -1.

Accepted Answer

(1, -2)

Answer

(-2, 1)

Answer

(1, -4)

Answer

(3, -2)

Question 5

How many solutions does this system have: y = 5x - 3 and y = 6x - 3?

Accepted Answer

exactly one solution

Answer

no solution

Answer

infinitely many solutions

Question 6

Solve the system: 5x + 3y = 26 and 5x - 3y = 44.

Accepted Answer

(7, -3)

Answer

(-3, 7)

Answer

(70, -3)

Answer

(7, 3)

Question 7

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(-1, 3)

Answer

(3, -1)

Answer

(0, 1)

Answer

(-1, 0)

Question 8

Solve the system: y = -3x + 7 and 2x + y = 13.

Accepted Answer

(-6, 25)

Answer

(25, -6)

Answer

(-6, 7)

Answer

(6, 25)

Question 9

A single graph is drawn on the grid. Does that graph show y as a function of x?

Accepted Answer

Yes, because no vertical line crosses it more than once

Answer

No, because a vertical line can be drawn that crosses it more than once

Answer

No, because the graph is not a straight line

Answer

No, because a horizontal line crosses it more than once

Question 10

How many solutions does this system have: y = 4x - 4 and -16x + 4y = -16?

Accepted Answer

infinitely many solutions

Answer

no solution

Answer

exactly one solution

Question 11

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(3, 0)

Answer

(0, 3)

Answer

(-3, 3)

Answer

(4, 0)

Question 12

A single graph is drawn on the grid. Does that graph show y as a function of x?

Accepted Answer

No, because a vertical line can be drawn that crosses it more than once

Answer

Yes, because no vertical line crosses it more than once

Answer

Yes, because it is a single unbroken curve

Answer

No, because a horizontal line crosses it more than once

Question 13

A function is given by the rule y = 2x - 2. What is the value of y when x = 7?

Accepted Answer

y = 12

Answer

y = 10

Answer

y = 16

Answer

y = 13

Question 14

Solve the system: y = 3x - 1 and 2x + y = 29.

Accepted Answer

(6, 17)

Answer

(17, 6)

Answer

(6, -1)

Answer

(30, 17)

Question 15

Solve the system: y = -2x - 1 and x + y = -3.

Accepted Answer

(2, -5)

Answer

(-5, 2)

Answer

(2, -1)

Answer

(-2, -5)

Question 16

How many solutions does this system have: y = 4x - 7 and -16x + 4y = -28?

Accepted Answer

infinitely many solutions

Answer

no solution

Answer

exactly one solution

Question 17

A single graph is drawn on the grid. Does that graph show y as a function of x?

Accepted Answer

Yes, because no vertical line crosses it more than once

Answer

No, because a vertical line can be drawn that crosses it more than once

Answer

No, because the graph is not a straight line

Answer

No, because a horizontal line crosses it more than once

Question 18

A relation is the set of ordered pairs (-6, -13), (-4, -7), (-2, -1), (0, 5). What is its range?

Accepted Answer

{-13, -7, -1, 5}

Answer

{-6, -4, -2, 0}

Answer

{-13, 5}

Answer

{-13, -7, -6, -4, -2, -1, 0, 5}

Question 19

How many solutions does this system have: y = 4x + 1 and y = 4x + 3?

Accepted Answer

no solution

Answer

infinitely many solutions

Answer

exactly one solution

Question 20

A relation is the set of ordered pairs (-3, 8), (0, 2), (3, -4), (6, -10). What is its range?

Accepted Answer

{-10, -4, 2, 8}

Answer

{-3, 0, 3, 6}

Answer

{-10, 8}

Answer

{-10, -4, -3, 0, 2, 3, 6, 8}

Question 21

Each arrow in the diagram joins a value on the left to the value it is paired with on the right. Does the diagram show a function?

Accepted Answer

No, because one input is paired with two different outputs

Answer

Yes, because every output comes from exactly one input

Answer

Yes, because all four outputs are different numbers

Answer

No, because two inputs are paired with the same output

Question 22

Every row of the table pairs an input with the output one linear rule gives it. Which rule is it?

Accepted Answer

y = 2x - 8

Answer

y = 2x + 8

Answer

y = -8x + 2

Answer

y = x - 8

Question 23

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(2, -1)

Answer

(-1, 2)

Answer

(-7, 1)

Answer

(2, 0)

Question 24

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(-1, -5)

Answer

(-5, -1)

Answer

(-4, -3)

Answer

(-1, 0)

Question 25

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(-2, 4)

Answer

(4, -2)

Answer

(-2, 0)

Answer

(-1, 4)

Question 26

A single graph is drawn on the grid. Does that graph show y as a function of x?

Accepted Answer

Yes, because no vertical line crosses it more than once

Answer

No, because a vertical line can be drawn that crosses it more than once

Answer

No, because the graph is not a straight line

Answer

No, because a horizontal line crosses it more than once

Question 27

Every row of the table pairs an input with the output one linear rule gives it. Which rule is it?

Accepted Answer

y = -4x + 6

Answer

y = -4x - 6

Answer

y = 6x - 4

Answer

y = x + 6

Question 28

A relation is the set of ordered pairs (2, 8), (4, 16), (6, 24), (8, 32). What is its range?

Accepted Answer

{8, 16, 24, 32}

Answer

{2, 4, 6, 8}

Answer

{8, 32}

Answer

{2, 4, 6, 8, 16, 24, 32}

Question 29

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(-1, 0)

Answer

(0, -1)

Answer

(-3, 1)

Answer

(0, 0)

Question 30

Each arrow in the diagram joins a value on the left to the value it is paired with on the right. Does the diagram show a function?

Accepted Answer

No, because one input is paired with two different outputs

Answer

Yes, because every output comes from exactly one input

Answer

Yes, because all four outputs are different numbers

Answer

No, because two inputs are paired with the same output

Question 31

Solve the system: y = 5x + 3 and 2x + y = 38.

Accepted Answer

(5, 28)

Answer

(28, 5)

Answer

(5, 3)

Answer

(35, 28)

Question 32

A function is given by the rule y = 4x - 2. What is the value of y when x = 0?

Accepted Answer

y = -2

Answer

y = -8

Answer

y = 2

Answer

y = -1

Question 33

A relation is the set of ordered pairs (-1, 1), (1, -5), (3, -11), (5, -17). What is its range?

Accepted Answer

{-17, -11, -5, 1}

Answer

{-1, 1, 3, 5}

Answer

{-17, 1}

Answer

{-17, -11, -5, -1, 1, 3, 5}

Question 34

Each arrow in the diagram joins a value on the left to the value it is paired with on the right. Does the diagram show a function?

Accepted Answer

No, because one input is paired with two different outputs

Answer

Yes, because every output comes from exactly one input

Answer

Yes, because all four outputs are different numbers

Answer

No, because two inputs are paired with the same output

Question 35

How many solutions does this system have: y = 5x - 6 and y = 5x - 5?

Accepted Answer

no solution

Answer

infinitely many solutions

Answer

exactly one solution

Question 36

Solve the system: y = -2x - 1 and 4x + y = -3.

Accepted Answer

(-1, 1)

Answer

(1, -1)

Answer

(-1, -1)

Answer

(-2, 1)

Question 37

Each arrow in the diagram joins a value on the left to the value it is paired with on the right. Does the diagram show a function?

Accepted Answer

Yes, because every input is paired with exactly one output

Answer

No, because one input is paired with two different outputs

Answer

No, because two inputs are paired with the same output

Answer

No, because every output is larger than its input

Question 38

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(4, -4)

Answer

(-4, 4)

Answer

(4, 0)

Answer

(5, -4)

Question 39

The grid shows the graphs of the two equations in one system. Which ordered pair is the solution of that system?

Accepted Answer

(-2, 0)

Answer

(0, -2)

Answer

(4, 6)

Answer

(-1, 0)

Question 40

Each arrow in the diagram joins a value on the left to the value it is paired with on the right. Does the diagram show a function?

Accepted Answer

No, because one input is paired with two different outputs

Answer

Yes, because every output comes from exactly one input

Answer

Yes, because all four outputs are different numbers

Answer

No, because two inputs are paired with the same output

BLASTROOM

BLASTROOM

BLASTROOM

Mixed Review: Functions and Systems

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

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Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Mixed Review: Functions and Systems

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner