Solving Inequalities
j+2 ≤ 5
j ≤ 3
j ≤ 5
Closed dot on top of 5 with arrow pointing to the left
Sandra gets a new phone plan with Fido. His monthly fee is $50 and the cost per gigabyte is $5.
5x+50
y= 3x
The line is stretched with a slope of 3
3, 6, 9, 12, 15...
q/5 ≥ 2
q ≥ 10
u+3 ≤ 6
Closed dot on top of 3 with arrow pointing to the left
y= x - 15
The line is vertically translated -15 from the origin.
7, 12, 17, 22...
y= 5x + 2
2x + 3 ≥ -9
x ≥ -6
t/3 > -3
Open dot on top of -9 with arrow pointing to the right
The theatre department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donation of x dollars per ticket to help buy new costumes. On Friday night, they sold 80 tickets to the fall play, and everyone who bought a ticket donated.
400 + 80x
or
80(5+x)
y= 5x - 2
The line is stretched with a slope of 5 and is vertically translated -2 from the origin.
2, 6, 10, 14...
y= 4x - 2
x/4 -2 ≥ 42
x ≥10
g/-2 - 4 ≥ –1
Closed dot on top of -6 with arrow pointing to the left
Cole helped his grandmother plant her vegetable garden. He planted 3 rows of zucchini seeds and 4 rows of yellow squash seeds. Each row had s seeds.
3s + 4s
y= 1/3x + 1
The line is compressed with a slope of 1/3 and is vertically translated +1 from the origin.
11, 18, 25, 32...
y= 7x + 4
-6x + 3 ≥ 39
x ≤ -6
Closed dot on top of -2 with arrow pointing to the right
Ms. Fournier's class is going on a field trip to the planetarium. There are 25 students in the class, and each student needs to purchase a day pass to the planetarium and a lunch ticket. The day pass costs $10, and the lunch ticket costs t dollars.
250+25t
OR
25(10+t)
y= -1/5x + 6
The line is vertically reflected with a slope of 1/5 and is vertically translated +6 from the origin.
5, 8, 13, 20...
y= x2 + 4