Vocabulary
Evaluating Function Rules
Independent & Dependent
Linear Relationships
Is it a Function?
100
What is another name for rate of change?
slope
100
Evaluate y = -3x when x = 2
y = -6
100
You and a friend are studying for a quiz. You want to get a higher score than your friend, so you decide to spend exactly 20 more minutes studying than your friend does. The relationship between these two variables can be expressed by the equation y=x+20, where x is the number of minutes your friend spends studying, and y is the number of minutes you spend studying. Identify the independent (x) and dependent (y) variables.
Independent (x) Variable: The number of minutes your friend spends studying. Dependent (y) Variable: The number of minutes you spend studying.
100
What is the equation that represents the situation?
Aliyah deposits $50 and adds $9 per week.
y = 9x + 50
100
Is it a function? Justify your answer. Hint: Make a table! (2, 3), (4, 5), ( -2, 6)
Yes, each input has exactly one output.
200
In slope-intercept form of an equation, b, stands for ____________________. This is also the initial, or starting, value of a linear function.
y-intercept
200
True or false: (3, 5) is a solution to the equation
y = x - 2
False
200
Identify the independent (x) variable: The relationship between the number of hours worked and the amount of money earned.
The number of hours worked.
200
The points scored in the second half of a basketball game is represented by the equation, y = 2x + 46, where x is the number of baskets made.
How many points did the team have before the second half started?
46 points
200
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the points fail the Vertical Line Test.
300
______________ is a function of _______________.
Output is a function of input.
300
Evaluate y = 25 - 4x when x = 4
y = 9
300
Identify the independent (x) and dependent variables (y): You are buying boxes of cookies at a bakery. Each box of cookies costs $4.
Independent Variable: The number boxes of cookies purchased. Dependent Variable: How much you spend at the bakery.
300
The points scored in the second half of a basketball game is represented by the equation, y = 2x + 46, where x is the number of baskets made.
How many baskets did the team make in the second half if they scored 100 points in the game?
27 baskets
300
Is it a function? Justify your answer. Hint: make a table!
(4, 3), (-2, 3), (3, 1), (-3, 5)
Yes, this is a function because each input has exactly one output.
400
What is the definition of a function?
A relationship between input and output values. Each input has exactly one output value.
400
True or false: (-2, 2) is a solution to the equation 3x + 4 = y
False
400
Identify the dependent (y) variable: The relationship between your allowance and the number of chores you do.
Your allowance.
400
The points scored in the second half of a basketball game is represented by the equation, y = 2x + 46, where x is the number of baskets made.
At what rate is the team earning points?
2 points per basket
400
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
500
What is the test to tell if a graph is a function?
Vertical Line Test
500
True or False: (-3, 9) is a solution to the equation
y = x2
True
500
Identify the independent (x) and dependent (y) variables: On your math quiz, you earn 5 points for each question that you answer correctly.
Independent Variable: Number of questions answered correctly. Dependent Variable: Score on the quiz.
500
The points scored in the second half of a basketball game is represented by the equation, y = 2x + 46, where x is the number of baskets made.
Fill in the blank: _______________ is dependent on _________________.
The points scored is dependent on the number of baskets made.
500
Is it a function? Justify your answer. 
Yes, each input has exactly one output.