5-6 Skills Practice/Word Problem Practice
Graphing Inequalities in Two Variables
Match each inequality to the graph of its solution (Use slope-intercept form.).
_____ 1. y – 2x < 2
_____ 2. y ≤ –3x
_____ 3. 2y – x ≥ 4
_____ 4. x + y > 1
a.
b.
c.
d.
5. FAMILY Tyrone said that the ages of his siblings are all part of the solution set of y > 2x, where x is the age of a
sibling and y is Tyrone’s age. Which of the following ages is possible for Tyrone and a sibling? (Check all that apply.)
_____ Tyrone is 23; Maxine is 14.
_____ Tyrone is 18; Camille is 8.
_____ Tyrone is 12; Francis is 4.
_____ Tyrone is 11; Martin is 6.
_____ Tyrone is 19; Paul is 9.
6. FUNDRAISING Troop 200 sold cider and donuts to raise money for charity. They sold small boxes of donut holes for
$1.25 and cider for $2.50 a gallon. In order to cover their expenses, they needed to raise at least $100.
A. Write and graph an inequality that represents this situation.
B. Which of the following IS/ARE a part of the solution set? (Check all that apply)
_____ 10 boxes of donut holes and 25 gallons of cider
_____ 20 boxes of donut holes and 50 gallons of cider
_____ 30 boxes of donut holes and 35 gallons of cider
_____ 40 boxes of donut holes and 10 gallons of cider