Data Analysis
All things LINEAR
Solving & Simplifying
Linear Inequalities
Factoring, etc.
100
There are 25 students in a class. The teacher randomly calls on a student at the beginning of each class period. What is the probability that the same student gets called on two days in a row? Give your answer as a simplified fraction.
1/625
100
Write the slope intercept form of the following equation:
y=-5/3x-6
100
Simplify
(-3x3+10x2-x+7)+(3x3+2x-5)
10x2+x+2
100
Write the linear inequality:
y>1/2x-3
100
Factor:
q2 - 5q -24
(q + 3)(q - 8)
200
Box-and-whisker plot (Car Prices)
min (6000), Q1 (10000), Med/Q2 (12000), Q3 (14000) and max (25000)
What percent of the cars represented in the box plot are priced $12,000 or more?
50%
200
A line crosses through the points (0, -4) and (6, 0). What is the equation of the line?
What is y = 2/3x - 4?
200
Simplify: (6x3 + 3x - 4) - (x2 + 5x3 - 3x + 7)
x3 - x2 + 6x - 11
200
Write the linear inequality:
y>-2x+4
200
Factor completely
6x3 - 12x2 - 48x
6x(x - 4)(x + 2)
300
There are 200 used cars represented in a box-and-whisker plot with the following values.
min: 6000, Q1: 10000, Med/Q2: 12000, Q3: 14000, max: 25000
You can afford a car that is $14,000 or less. How many of the cars represented in this box plot can you afford?
150 of the cars
300
Find the solution to this system:
y = 1/2x + 1
y = 3/2x-1
(2,2)
300
(2x+2)(-x+5)
-2x^2+8x+10
300
Sam arrives at an amusement park with $61 that he can spend at the amusement park. The entrance fee at the amusement park is $20. It costs $3 to play a game and $4 for each ride. He plays 6 games and goes on x rides. The inequality shown below represents this situation.
38 + 4x ≤ 61
How many rides can you go on?
Sam went on at most 5 rides
300
Factor completely
16x2 - 25y2
(4x + 5y)(4x - 5y)
400
What is the average height?
54 2/3 inches
400
Find the solution to the system:
2x+3y=10
x+3y=20
(-10,10)
400
Find the perimeter:
25x+28
400
Sarah is renting a delivery truck to move to a new apartment in Center City, Philadelphia. The agency charges a flat fee of $50 plus $0.75 per mile driven. Sarah wants to spend no more than $200.
Write an inequality to represent this situation.
0.75x+50le200
400
The greatest common factor (GCF) of x3yk and x2ky4 is x3y3. What is the value of k?
3
500
Shelley recorded the ages of the first 18 people that entered the public library on Saturday morning in the stem-and-leaf plot below.
1| 2 5 6 8
2|0 4 6 7 7
3|1 2 3 7
4|0 1 1 3 8
What is the interquartile range of the ages?
20
500
Find the solution to the system:
y=x-7
2x+3y=4
(5,-2)
500
Find the area:
6x2+30x+24
500
Write the system of linear inequalitities represented on the graph.
y≤2x+1
yge2/5x-2
500
Two monomials are given: 6x and 8x2y2
What is the least common multiple (LCM) of these monomials?
24x2y2