Function Tables
Function Rules
Dependent vs. Independent
Inequalities
Understanding Equations
Solving Equations
100
Finish the pattern:
Input Output
1 2
2 4
3 ?
4 ?
Multiply by 2.
Output for input of 3: 6
Output for input of 4: 8
100
What equation represents the function table below?
Input Output
2 8
3 12
4 16
5 20
6 n
y = 4x
100
What is the dependent variable?
The amount of paper needed to wrap a gift and the size of the gift box.
The amount of paper DEPENDS on the size of the box.
100
Graph x < 3
Give 3 pieces of info:
1. What number is the dot on?
2. Is it an open or closed dot?
3. Does the arrow point to the left or to the right?
1. 3
2. Open
3. To the left.
100
What is the Inverse Operation of Division
Multiplication
100
3.5+b=6.1
2.6
200
y=3x
Input Output
2 6
3 9
4 ?
5 ?
Input Output
4 12
5 15
200
What is the equation that represents this function table?
y = x - 3
200
What is the independent variable?
The size of the gas tank and the amount of gas needed to fill the tank
The size of the tank is independent.
200
Write and graph the inequality for the scenario:
Her earnings were no more than $64.
4 answers needed -
1. Write the inequality
2. What number would the dot on the graph be on?
3. Is the dot open or closed?
4. Would the arrow point to the left or to the right?
e ≥ 64
200
Which of the following is a solution to the following equation:
g/4 = 12
a. 48
b. 3
c. 8
d. 16
a
200
-12 + 4a = 24
9
300
If a function rule is 9 – 2x, what is the output for the input 3?
3
300
What ordered pairs would be used to graph the function table shown below?
(1,9)
(2,18)
(3, 27)
300
What is the dependent variable?
The number of hours you study for the test and your grade.Your grade DEPENDS on the amount of study time you put in.
300
In order to ride a roller coaster at the theme park, riders must be at least 52 inches tall.
Write an inequality to show the safe heights for riders.
x ≥ 52
300
If 6 + 2 = 8, does 6 + 2 + 3 = 8 + 3? Why or why not?
Yes, because 3 was added to both sides of the original problem.
300
t/30=6
180
400
What are the missing input values if the rule is
2x - 4
Input Output
? 18
? 20
? 22
2x - 4
Input Output
11 18
12 20
13 22
400
What equation represents the line shown below?
y = x/2
400
What is the independent variable?
How much money earned and how much time spent working.
Time spent working is independent.
400
The speed limit on most state roads is 65 miles per hour.
Write an inequality to describe the legal speed on state roads.
x ≤ 65
400
True or False:
In order to solve an equation, you must use the inverse operation to isolate the variable. You must also do the same to both sides of the equation to keep it balanced.
True
400
a + 1 1/3 = 2 5/6
1 1/2
500
What type of question(s) would I ask you?
x y
2 16
3 19
4 22
5 ?
What's the function rule? What's the next x and y term?
500
What ordered pair is NOT a solution to y = x + 5?
a. (7, 12)
b. (6, 1)
c. (10, 15)
d. (3,8)
b
500
What is the dependent variable?
The size of a room and how much paint is needed
The amount of paint DEPENDS on the size of the room.
500
Jess drew the graph below to represent the inequality 2 > x. James disagreed and said that dot should be open, but the arrow should point to the left because all values less than 2 would make the inequality true.
Who is correct? Explain.
James is correct. This inequality says 2 is greater than x. That means that x is less than 2. Any number less than 2 would be a solution to this inequation. The arrow should point towards the left because anything less than 2 makes it true.
500
If 5 + 4 = 9, does 5 + 4 - m = 9 + m? Explain
No, because the equation was not balanced. You would have to subtract both sides by m OR add m to both sides.
500
2j - 4.6=1.7
3.15