Solving One-Step Inequalities
Solve for x: x+5>12
x>7
2x−3<11
x<7
Graph the inequality x<3 on a number line.
An open circle at 3 with an arrow pointing to the left.
You must be at least 16 years old to drive. Write an inequality to represent this.
a≥16 (where a is age)
What is the Seattle Mariners' Mascot?
The Mariner Moose
Solve for y: y−3≤7
y≤10
5y+7≥32
y≥5
Graph the inequality y≥−2 on a number line.
A closed circle at -2 with an arrow pointing to the right.
A concert ticket costs $25. You have $100. Write and solve an inequality to find the maximum number of tickets you can buy.
25t≤100⟹t≤4. You can buy a maximum of 4 tickets.
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
an echo
Solve for m: 4m<20
m<5
10−3a≤25
a≥−5
Write the inequality shown by a closed circle at 4 and an arrow pointing left.
x≤4
The perimeter of a rectangular garden is at most 50 feet. If the length is 15 feet, write and solve an inequality for the possible widths.
2(15)+2w≤50⟹30+2w≤50⟹2w≤20⟹w≤10. The width can be at most 10 feet.
What has cities, but no houses; forests, but no trees; and water, but no fish?
a map
2p≥−9
p≥−18
4b+6>8
b>8
Graph the solution to 3x−6>3 on a number line.
(First, solve: 3x>9⟹x>3) An open circle at 3 with an arrow pointing to the right.
A cell phone plan costs $30 per month plus $0.05 per text message. If your bill for the month was no more than $40, write and solve an inequality to find the maximum number of text messages you sent.
30+0.05t≤40⟹0.05t≤10⟹t≤200. You sent at most 200 text messages.
I am always hungry, I must always be fed, the finger I lick will soon turn red. What am I?
a fire
−6k>30
k<−5
−2(c+4)<14
c>−11
A number line shows an open circle at -1, an arrow pointing right, and another open circle at 5, with an arrow pointing left, but no shading between them. Write the compound inequality that represents this graph.
x>−1 OR x<5 (This represents two separate inequalities, not a range in between.)
A company makes a profit when its revenue (R) is greater than its expenses (E). If R=10x+500 and E=5x+800, where x is the number of units sold, write and solve an inequality to find the minimum number of units that must be sold for the company to make a profit.
10x+500>5x+800⟹5x>300⟹x>60. The company must sell at least 61 units to make a profit.
If you assigned a number to every letter in the alphabet, starting with a=1, b=2, c=3 and so on, THEN SQUARED IT, what would the value of the word SAVAGE equal?
361+1+484+1+49+25=921