Solving Systems
Writing Equations
Stats & Probability
Factoring
Simplifying
100
The Sitchon family is going to rent a truck. Company A charges a one-time fee of $35 plus $0.05 for each mile driven. Company B charges a one-time fee of $50 plus $0.02 for each mile driven. For how many miles are the charges for the two companies the same?
500 miles
100
Write an equation in slope-intercept form of a line that has a slope of 3 and passes through the point (5, -1).
y = 3x - 16
100
Josiah asked 140 students at his high school for their opinion of the cafeteria food. Students could only respond that they "like" or "do not like" the food. Out of 70 males, 47 like the food. Out of 70 females, 43 like the food. If a student is selected at random, what is the probability that he/she does not like the food?
50/140 or 5/14
100
The area of a rectangular field is 5500 square yards. The length of the field is 60 yards more than the width. Find the width, in yards, of the field.
50
100
A triangle has side lengths of (5x^2), (5x^2), and (3x + 1). Write an expression, in simplest form, for the perimeter of this triangle.
10x^2 + 3x + 1
200
Which quadrant contains all of the solutions to the following system? y < -1 and x > 1
IV
200
The length of a rectangular door is 2 feet more than the width, w. The area of the door is 48 square feet. Write an equation that can be used to find the width of the door. Set the equation equal to zero.
w^2 + 2w - 48 = 0
200
A local company produces t-shirts and randomly selects t-shirts to check for imperfections. The company randomaly selects 50 t-shirts. Of those 50 t-shirts, 3 have imperfections. If the company produces 500 t-shirts in a day, how many t-shirts without imperfections can the company expect to make in a day?
470
200
Solve: 4x^2 + 11x - 3 = 0
{1/4, -3}
200
Evaluate: (-2)^(-3)
-1/8
300
Which quadrants contain all of the solutions to the following system: y > x - 2 and y > -x + 2
Quadrants 1 & 2
300
The following points lie on a line: (-1, 6); (2, 0); (5, -6); (8 ,-12). Write an equation in slope-intercept form to represent this relationship.
y = -2x + 4
300
Louise asked 25 students from the high school football team what type of sport they prefer. Twenty of the team members responded with football. Why is this sampling technique invalid?
The results are biased towards the football team's preferences.
300
Factor x^2 + 3x - 4
(x + 4)(x - 1)
300
Simplify: (5x)(7y)(-xy)
-35(x^2)(y^2)
400
Determine whether (4, 0) is a solution to the following system of inequalities: x - 2y > -2 and x + y < -1
NO
400
Write an equation in slope-intercept form for the line that passes through the points (6, 7) and (4, 5).
y = x + 1
400
Jeremy plays hockey and scores a goal in 20% of his games. He designs a simulation using a spinner to predict the probability that he will scores a goal in his next game. How many equal sections should the spinner have?
5
400
Factor x^2 + 6x + 8
(x + 2)(x + 4)
400
Simplify: (4x)^0
1
500
Determine whether (0, -4) is a solution to the system of inequalities: x - 2y > -2 and x + y < -1
YES
500
In computer class, Mae types 122 words in 2 minutes, and 182 words in 3 minutes. As she continues to type, she finds that she types 240 words in 4 minutes, 368 words in 6 minutes, and 538 words in 9 minutes. Find a line of best fit to describe the relationship between number of minutes (x) and words typed (y).
y = 60x + 3
500
In Mr. Brown's class, students receive a homework pass if they score at or above the 3rd quartile on a test. If there are 24 students in Mr. Brown's class and everyone's test scores are different, how many students will receive a homework pass?
6
500
A rectangle has an area of (2x^2 - 7x - 15) square feet. If the width of the rectangle is (x - 5) feet, what is the length?
2x + 3
500
The base of a triangle is (2x - 6). The height of a triangle is 2x^2. Write an expression, in simplest form, to represent the area of this triangle.
2x^3 - 6x^2
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