Word Problems
Write an absolute value equation that has the solutions -3 and -9.
abs(x-6)=3
The solution to | x | = 18.
What is 18 or -18?
The general shape of an absolute value graph.
What is V shaped?
The value of f(3).
What is f(3) = 5?
The symbols that indicate a closed dot.
What are less than or equal to and greater than or equal to?
A candy bar can be sold at stores if it is within .05 oz of the advertised weight of 8 oz. Write an absolute value inequality that models the candy bars that would be rejected.
What
abs(x-8)>.05
The solution to | x + 1 | = 5.
What is 4 or -6?
The graph of y = | x | - 2.
What is a V shaped graph whose vertex is moved down 2 and the rays have a slope of 1/1?
The value of f(-2).
What is f(-2) = -2?
The type of inequality the indicates a ray should be used.
What is a single inequality?
A tshirt company charges different rates depending on the number of tshirts you buy. If you buy less than 50 shirts you are charged $8 per shirt plus $20 for the mold. If you buy between 50 and 100 shirts you are charged $7 plus $20 for the mold. If you buy more than 100 shirts you are charged $6 per shirt.
Write an piecewise function to model the situation.
{8x+20, 0<x<50
{7x +20, 50 < x < 100
6x, x > 100
The solution to | x - 18 | = 14.
What is 32 or 4?
The graph of y = | x - 3| + 4.
What is a V shaped graph whose vertex is moved right 3 and up 4 ; the rays have a slope of 1/1?
The value of f(0).
What is f(0) = 4?
The type of inequality that indicates a segment should be used (connect the dots).
What is a compound inequality?
A car rental company charges $250 for the first 24 hours of renting the car. Each additional hour costs $15. You may not rent the car for more than 3 days.
Write a piecewise function to model the situation.
{250, 0 < x <24
15x -110, 24 < x < 72
The solution to | x - 15 | + 5 = 30.
What is 40 or -10?
The graph of y = 2 | x | -5.
What is a V shaped graph whose vertex is moved down 4 and the rays have a slope of 2/1?
The value of g(-7).
What is g(-7) = 37?
What is a closed dot at ( 0 , 4 ) with a ray to the left through the point ( -2 , -2 )?
The absolute value of -10 times the absolute value of -5.
What is 50?
The solution to 3 | x + 12| = 42.
What is 2 or -26?
What is a V shaped graph whose vertex is moved left 2 and up 5 ; the rays have a slope of -3/1?
The value of g(-1).
What is g(-1) = 5?
The graph of part B for g(x).
What is a closed dot at ( -3 , 7 ) with a ray to the right going through the point ( -1 , 5)?