Inequalities
Systems of Equations
Domain & Range
Correlation Coefficient
Relations and Functions
100
Rewrite inequality in Slope/Intercept form:
3y ≥ 3x – 9
3y / 3 ≥ (3x /3)– (9/3)
y>=x-3
100
Solve systems of equation using elimination
8y=24 y=3
2x+3(3)=11 2x+9=11 2x=11-9=2 x=2/2=1
100
Ratio 5:2 is equal to:
A. 10:4 B. 11:5 C. 40:15 D. A, B, & C
A
100
Select the type of correlation that best fits the data plot below and state why:
Weak Positive
200
When graphing the systems of inequalities below, are the corresponding lines solid or dashed?
y>-x-2
y<-5x+2
Dashed:
200
What are the two ways to solve systems of equations?
A. Addition and Subtraction B. Multiplication and Division
C. Substitution and Elimination D. DESMOS
C. Substitution and Elimination
200
Domain: 5<x<=0
Range:-4<=y<5
200
Diego used his calculator to find the line of best fit for a data set. He looked at the correlation coefficient and determined that there was a weak, negative linear association between the two variables. Which value of r could be the correlation coefficient?
A. 0.94 B. 0.20 C. -0.36 D. -0.88
C. -0.36
200
Does the table below show a function or relation?
This is a relation because inputs 7 and 9 both have multiple outputs.
300
Solve the systems of inequalities using elimination:
y > -5x + 3
y ≥ x – 3
Add the inequalities together.
y > -5x + 3
y ≥ x – 3
-----------------
2y> -4x y>-2x
300
Solve system of equations using substitution:
Step 1. x+3x=8 Step 2. 4x=8 Step 3 x=8/4=2 y=3(2)=6 {2,6}
300
Define f to assign each student a percentage score on their last Algebra test.
f: {student} → {grade}
Is this a function?
Suppose f(Devin) = 95. What does this mean? What is the Domain; what is the Range?
One one test grade for one student indicates this is a function:
Devin is the Domain and his score of 95 is the Range.
300
After graphing in DESMOS, what expression must you write on line 2 to determine the correlation coefficient r?
300
What test do you apply to determine if points on a graph show a function and not a relation.
The vertical line test shows when an x (input) value has two y (output) values which can be connected on the graph using a vertical line.
400
A florist is making flower arrangements for a wedding. They have 600 flowers total. A small arrangement contains 10 flowers, and a large arrangement contains 24 flowers. If x is the number of small arrangements and y is the number of large arrangements the florist can make, then which inequality models the situation?
A. 24x + 10y ≤ 600 B. 24x + 10y ≥ 600
C. 10x + 24y ≤ 600 D. 10x + 24y ≥ 600
C. 10x + 24y ≤ 600
400
A system of equations with the same slope and the same y intercept have:
A. no solutions B. infinite solutions C. 1 solution
B. infinite solutions
400
The function, f(x) = x – 4, is defined on the Domain 4 < x ≤ 10. Which of the following would be part of the range? Select all that apply.
A. 5 B. -4 C. 2.5 D. 0 E. 12
Included in the range would be:
A. 5 C. 2.5 D. 0
Range: 0<=y<6
400
What is the difference between causation and correlation when evaluating functions?
Correlation tells us if two variables are related.
Causation tells us that a change in one variable causes a change in the other variable.
400
Explain why the graph below is a function.
Although the same number of shirts, example 20 shirts, have multiple prices, one of the 20 shirts has an open circle indicating that the cost of 20 shirts have a relationship with the price of $15 and $20, it approaches the $15 mark as shown by the o (open dot) but never gets to that number.
500
Convert the inequality below it to slope-intercept form:
5x – y < 10
5x-10<y
500
How many answers does this system of equations have?
A. one B. none C. infinite
y=x+5
y=x-5
These equations graph as parallel lines. The answer is B. none
500
The domain of the function, g(x) = x2 – 1, is {1, 2, 3}. What is the range?
Range: {0, 3, 8}
500
Alfredo was asked to answer the question below. Do you agree with their answer?
Which correlation coefficient shows a stronger linear relationship: r = 0.12 or r = -0.98?
r = 0.12 shows a stronger linear relationship than r = -0.98 because 0.12 is larger than -0.98.
We disagree. r = -0.98 has the stronger linear relationship regardless of having a negative slope.
500
Given f(x) = 3x2 - 6, what is f(4)?
3(42)-6=
3(16)-6=
48-6=42