Basics
Functions
Graphs
Inequalities/Absolute Values
Miscellaneous
100
Evaluate the expression for the given variables:
4a + 4b ; a = -3 , b = -5
-32
100
State the domain and range:
Domain: 4,7,10,12
Range: 8, 10, 11, 14
100
In order to join the gym, there is a $10 startup fee and a $30 monthly fee.
Write an equation in slope-intercept form that models this situation and graph.
y= 30x + 10
100
Solve the follow inequality and determine if 4 is a solution:
8x + 6 > -34 and 14x - 8 < 20
x>-5 and x < 2
No
100
Use the following variables to create the equation for absolute value:
a, h, k, x, y
y= a|x - h| + k
200
5a + 5b ; a = -6 , b = -5
If a and b were both positive, how would that change the result?
The answer would be positive.
200
Is the following a function or relation, why?
function because every input has one output.
200
Given the following image:
X axis: 10, 20, 30...
Which line is parallel to y = 3x + 2?
Green
200
Solve the following inequality
18x - 10 < -82 or 6x + 26>14
is -3 a solution?
x<-4 or x > -2
No
200
Describe the transformation:
y= 2|x - 3| - 4
stretch 2
right 3
down 4
300
Is there a mistake? If so where?
-2(-3y+4)+6y
(6y+4)+6y
12y+4
Did not distribute to everything
-2(-3y+4)+6y
(6y+4)+6y
300
Is the following a relation or function, why?
Relation, 2 is partnered with two outputs
300
Given the following image:
x axis by 10s
Write the equation of a line perpendicular to the blue line.
y = -1/2x + ____
300
Solve:
|4x - 2| = 6
x = 2 and x = -1
300
Gym Payments Plans
Gold's: One-time down payment fee of $130 plus $15 per month
Average Joe's: $35 per month
Write an equation or make a table: Which is cheaper, explain.
130 + 15x = 35x
Initially Average joe's is cheaper until you attend 13 months
400
Are the following lines parallel, perpendicular, or neither? Expain
y = 2x + 3
y= -2x - 3
Neither, slopes are not the same or opposite reciprocal
400
Given the following Domain and Range.
D: 1, 6, 18, 20, 21
R: 80, 73, 60, 54, 43
Describe their relationship
As domain increases, the range decreases.
400
Create a table and graph the following:
y= |x + 3| - 2
x: -1 -2 -3 -4 -5
y: 0 -1 -2 -1 0
400
Solve the following and graph:
|4x - 2| > 6
x > 2 or x < -1
400
Charlene's school is selling tickets to a spring concert. On the first day of ticket sales the school sold 3 senior citizen tickets and 2 child tickets for a total of $34. The school took in $118 on the second day by selling 6 senior citizen tickets and 14 child tickets.
Create a system and determine how much one child ticket and one senior citizen ticket costs.
For a bonus 200 points: On the third day of ticket sales, no senior citizens purchased tickets. Make a table to determine how many tickets would need to be sold to make at least $25.
3x + 2y = 34
6x + 14y = 118
y=5 x=8
Bonus: 5
ticket: 1 2 3 4 5
total: 5 10 15 20 25
500
How many solutions given the following system? Explain
y = 2x + 3
y = 2x + 5
None, because the lines are parallel
500
A group of local doctors administered a new drug to 5 test clients. Each patient received a different amount of mg. One month after the drug was taken their weight changes were recorded. Patient 1 Received 40mg , Patient 2 Received 60mg , Patient 3 Received 90mg , Patient 4 Received 140 mg , Patient 5 Received 190mg. The results were as followed
Patient 1 -3
Patient 2 -6
Patient 3 -11
Patient 4 -13
Patient 5 -19
State the domain and range
Domain: 40, 60, 90, 140, 190
Range: -3, -6, -11, -13, -19
500
Given the following:
Point B is a solution of:
A) y< x - 2
B) y> -3x + 5
C) Both
D) None
C) Both
500
Explain the difference between solving an absolute equation and an absolute inequality. (2)
1) Inequality: second equation you also have to change the inequality sign
2) Solution is a range vs just an answer
500
Given the following sequence:
34, 26, 18, 10, 2….
State the difference, create an equation, and find the 10 term.
- 8,
an= 34 - 8(n-1)= 42 -8n
-38