Linear Equations
Domain & Range
Systems
Regression Models
Matrices
100
Write the equation for the line perpendicular to y = 4 through the point (3, -1)
What is...
x = 3
100
Convert the Domain into Interval Notation:
D = { x | x < 4}
What is...
D = (-infinity, 4)
100
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students.
Write a system of equations to represent this scenario.What is...
1v + 6b = 372
4v + 12b = 780
100
Describe the correlation:
What is...
Strong Positive Correlation
100
What are the dimensions of A x B?
What is ...
(2 x 2)
200
Write an equation in Point Slope Form with x-intercept of 3 and y-intercept of 9
What is...
y - 9 = -3(x + 0)
OR
y + 0 = -3(x - 3)
200
Find the Range. Write your answer in Interval Notation.
What is ...
R = [-4, 0]
200
The length of Sally’s garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. Find the length of Sally’s garden.
What is ...
Length = 28 meters
200
What type of regression model might be best for this data set?
What is...
Quadratic Regression Model
200
Solve for x3.
What is ...
x3 = 1
300
Convert the following equation into Standard Form:
y = (5/2) - (1/3)x
What is...
2x + 6y = 15
300
Find the Domain. Write your answer in Set Builder Notation.
What is...
D = { x | -3 < x ≤ 1 }
300
Solve.
2y = 6 + x
-2x + 4y = 4
What is...
No Solution (parallel lines)
300
A regression equation that models the amount of rainfall in Evanston, WY since 2000 is modeled by the equation y = -2.292x + 52.975 where x = years (since 2000) and y = rainfall (in inches).
What does the y-intercept represent in the context of the problem?
What is...
The amount of rainfall (52.975 inches) in 2000.
300
Find the determinant of the matrix.
What is ...
22
400
Write an equation in Standard Form that includes the points (3, -2) and (5, 5).
What is...
-7x + 2y = -25
400
Write the Range in Interval Notation.
What is...
R = [-8, ∞)
400
Solve.
What is...
x = 4
y = -2
z = 3
400
A regression equation that models the amount of rainfall in Evanston, WY since 2000 is modeled by the equation y = -2.292x + 52.975 where x = years (since 2000) and y = rainfall (in inches).
What does the slope represent in the context of the problem?
What is ...
The average rainfall decreases by 2.292 inches per year.
400
If C = A - 10B, find C1,2
What is...
C1,2 = -12
500
Write an equation in Slope-Intercept Form that is parallel to x + 6y = 7 that passes through the point (-3, 4).
What is...
y = (-1/6)x + (7/2)
500
Write the Domain in Interval Notation.
What is ...
D = (-∞, 2) U [3, ∞)
500
You are stenciling wooden boxes to sell at a fair. Stenciling takes 2 hours for a small box and 3 hours for a large box. You have no more than 30 hours available, but want to stencil at least 12 boxes to sell.
Write a set of constraints for this scenario if x = small boxes and y = large boxes.
What is...
x ≥ 0
y ≥ 0
x + y ≥ 12
2x + 3y ≤ 30
500
A regression equation that models the amount of rainfall in Evanston, WY since 2000 is modeled by the equation y = -2.292x + 52.975 where x = years (since 2000) and y = rainfall (in inches).
How many inches of rainfall would you predict for 2020?
What is ...
y = 7.135 inches of rainfall
500
Find X in the product matrix below (no calculators!):
What is...
x = 54