Functions Multiple Representations Remediation 8.16e

Functions Multiple Representations

8.16e

Equations, Tables, and Ordered Pairs! Oh my!

• Use ALL of the x values from a table. One at a time,

  replace the x value in the equation with an x-value from

  the table. (Use Demos)

• If the table matches the equation, EVERY x-value input will result in the correct y-value output.

• The y-intercept will be in the table with an x-value of 0.

​Example

​X	Y​
​0	​15
1​	​27
2​	​39
3​	​51

​Jessica wants to rent a boat. The rental shop charges an initial fee of $15 plus $12 per hour to rent the boat. If the total cost was $87, for how many hours was the boat rented? If she rented the boat for 6 hours, what would be the total cost?

​{(0, 15), (1, 27), (2,39), (3, 51)}

Multiple Choice

Which ordered pair is a solution of the equation:

y = 6x?

*Remember ordered pairs means (x,y)*

• (12, 2)

• (4, 18)

• (3, 18)

• (6, 1)

Multiple Choice

Which equation has a solution of (-2, 1) ?

*Remember ordered pairs means (x,y)*

• -2x + 1

• y = 2x - 1

• y = -2x - 3

• y = 2x + 3

Multiple Choice

Which table of values is represented by this rule?

• Option 1
• Option 2
• Option 3
• Option 4

Multiple Choice

Which ordered pairs satisfy the following equation?

y = x + 5

*Remember ordered pairs means (x,y)*

• (-2, 7)

• (-1, 2)

• (4, 9)

• (5, 0)

Multiple Choice

Which table of values is represented by this rule?

• Option 1
• Option 2
• Option 3
• Option 4

Multiple Choice

2) Which ordered pair makes the equation false?

*Remember ordered pairs means (x,y)*

• (6, 5)

• (0, 4)

• (10, 8)

• (15, 10)

Multiple Choice

Which equation represents the linear function in this table?

• y = -3x - 5
• y = 3x - 5
• y = 5x + 1
• y = -x - 5

Multiple Choice

Which rules does the table represent?

• y = x + 7
• y = 2x + 4
• y = 5x - 5
• y = 4x - 2

Multiple Select

Select the FIVE correct answers. Choose all of the ordered pairs that make the equation true.

• (0, -4.5)
• (-5, 0.5)
• (-2.5, -2)
• (-1, -3.5)
• (-4.5, 0)

Multiple Choice

• A
• B
• C
• D

Multiple Choice

Tomas has $35 in his piggy bank. Each day he puts in an additional $3. Choose an equation that represents this situation.

• y = 35x + 3
• y = 3x + 35

Multiple Choice

• F
• G
• H
• J

Multiple Choice

Tomas has $35 in his piggy bank. Each day he puts in an additional $3. Choose a graph that represents this situation.

• Option 1
• Option 2

Multiple Choice

• F
• G
• H
• J

Multiple Choice

Tomas has $35 in his piggy bank. Each day he puts in an additional $3. Choose a table that represents this situation.

• Option 1
• Option 2

Multiple Choice

1) Which graph appears to contain all the ordered pairs in this table?

Multiple Choice

Which table matches the graph shown above?

Multiple Choice

Which graph represents the equation

y = 2x -2 ?

*Hint - make your x/y table*

Multiple Choice

Use the graph to determine the matching equation. 

*Hint - make your x/y table*

• y = x - 1 
• y = -x + 1
• y = 2x + 1 
• y = x + 1

Multiple Choice

7) Which graph best represents the linear equation?

y = 3x - 2

*Hint - make your x/y table*