Unit 1 (Equations and Inequalities)
The solution to the inequality below:
2(3x + 9) < (1/3)(9x - 63)
x<-13
The slope of the ordered pairs (3, 5) and (-4, 6):
What is -1/7?
The function f(x) = 2.75x+16 represents the cost, in dollars, of a large pizza with x toppings. The 2.75 represents this:
What is the cost per topping?
Are the functions 3y=4x-2 and 3x+4y=12 parallel, perpendicular, or neither?
What is perpendicular?
This is the solution to the following system of equations:
y= 1/3x-2
4y+3x=18
What is (6,0)?
The simplified expression equivalent to 3M-4N, when M=5x-2 and N=4-3x
What is 27x-22?
A function is shown below.
f(x)= -1/3x + k
If f(21) = 12, this is the value of k:
What is 19?
Jennifer bought a drink for $1.75 and 4 bags of chips that cost x dollars each. This equation represents the total amount, T, that Jennifer spent:
What is T=4x+1.75 OR T=1.75+4x
This is the midpoint of the longest side of a triangle with the vertices (5, 6), (3, 6), and (3, -2)
What is (4,2)?
The function y=-4x+48 models the average number of t-shirts sold at a store on October first. The function y=3x+6 models the average number of long sleeve shirts sold after October first, where x is the number of days after October 1. The average number of t-shirts sold and the average number of long sleeve shirts sold is the same this many days
What is 6?
The value of p makes the following equation true:
p-4 = 2p+1
7 5
What is -3?
The function a(n)=4n +3 represents the value of the nth term in a sequence. This is the sum of the 1st and 7th terms in the sequence:
What is 38?
After knee surgery, your trainer tells you to return to your jogging program slowly. She suggests jogging for 12 minutes each day for the first week. Each week after that she suggests you increase that time by 6 minutes. After this many weeks, you are jogging one hour per day
What is 9 weeks?
This equation represents the line that is perpendicular to the graph of 4x+3y=9 and passes through the point (-2, 3)
What is 3x-4y=-18 OR y=3/4x+9/2
Three times a number added to another number is 18. Two times the first number minus the other number is 2. This is the sum of the two numbers:
What is 10?
The smallest of three consecutive odd integers that have a total sum of 51
What is 15?
Given the points (5,3), (2,4), (9,0), and (?, ?), this could replace the “?” to create a relation that is not a function
What is 5, 2, OR 9?
Brittany earns $8.50 per hour plus tips. On Tuesday, she received $16 in tips. Brittany worked this many hours if she earned a total of $75.50 on Tuesday:
What is 7 hours?
One endpoint of segment HK is H(-4, 2). The midpoint of segment HK is M(1, 6). This is the coordinate of the other endpoint K
What is (6,10)?
Mrs. Harrison bought cans of chili beans and cans of diced tomatoes for her homemade chili.
She bought a total of 7 cans at a cost of $9.00 (before tax).
Each can of chili beans, c, cost $1.50, and each can of diced tomatoes, t, cost $0.75.
She bought this many cans of chili beans:
What is 5?
The equation below in terms of x:
y-x = 7
4
What is x=-28+y OR x=y-28?
This is the range of the relation below:
{(2,-5),(5,2),(4,3),(8,7)}
What is {-5,2,3,7}?
The function f(x) =1/2x+70 represents Mike’s test grade, f(x), after x minutes of studying. The slope represents this:
What is the change in test grade per minute studying?
Three points {(4,6),(4,3),(0,3)} can be graphed. A 4th point that lies on the y-axis will create a rectangle with the other points. This is the area of the rectangle
What is 12?
Kathy has two jobs that she can work to make money but can only work up to 8 hours each week. Kathy can babysit (b) for her neighbors for $10 an hour, or she can work at her parent's shop (p) for $15 an hour. Kathy has to make at least $75 each week to pay for gas and lunch at school. This system of inequalities can be used to mathematically describe this situation:
What is:
b+p<8
10b+15p>75