One Step
Solve the inequality
r + 6 > 13
r > 7
Solve the inequalities. State all values that make both inequalities true.
5a > 10
j + 20 < 30
a > 2
j < 10
The values that are between 2 and 10 make both inequalities true
Solve the inequality
2x + 4 < 8
x < 2
Write and solve an inequality to answer this question:
Thomas has 50 arcade tokens. Each arcade game at RetroRama costs 4 tokens. How many games can Thomas play?
4t≤50
t≤12.5
Thomas can play 12 or fewer games.
What is 70% of 300?
210
Solve the inequality
t – 3 ≤ 2
t ≤ 5
Solve the inequalities. State all values that make both inequalities true.
–6k < 18
m – 16 < 60
k > -3
m < 76
The values that are between -3 and 76 make both inequalities true.
Solve the inequality
3w – 10 ≥ –4
w ≥ 2
Write and solve an inequality to answer this question:
Kimberly has $120 to spend at the bookstore. She buys a hardcover book for $36 as well as some gift cards for her family and friends. Each gift card is $15. How many gift cards can she buy?
15g + 36 ≤ 120
g ≤ 5.6
Kimberly can buy up to 5 gift cards.
What is 45% of 38?
17.1
Solve the inequality
28 ≤ 7n
4 ≤ n
or
n ≥ 4
Solve the inequalities. State all values that make both inequalities true.
(–1/2)a < 2
b + 6 < 9
a > –4
b < 3
The values that are between –4 and 3 make both inequalities true.
Solve the inequality
3 < 1.5 p – 9
8 < p or p > 8
Write and solve an inequality to answer this question:
Kenneth has a budget of $720 for his college class. He buys a laptop for $330 and wants to use the rest to buy computer programs. Each program costs $60. How many programs can Kenneth purchase?
60p + 330 ≤ 720
p ≤ 6.5
Kenneth can buy 6 or fewer computer programs.
65 is what percent of 250?
26%
Solve the inequality
-9f < 81
Then graph the solution set on a number line.
f > –9
Solve the inequalities. State all values that make both inequalities true.
(1/4)c > 2
d + 3 < 1
c > 8
d < –2
No values make both inequalities true because there are no numbers greater than 8 and less than –2
Solve the inequality, then graph the solution set on a number line.
b/5 + 9 < 10
b < 5
Write and solve an inequality to answer this question:
Logan has a budget of $400 to have family pictures taken. There is a one-time fee of $38. Prints cost $25 per page. How many pages of prints can Logan order?
25p + 38 ≤ 400
p ≤ 14.48
Logan can order 14 or fewer pages of prints.
72 is 80% of what number?
90
Solve the inequality
–0.4x < –0.8
Then graph the solution set on a number line.
x > 2
There are no values that make both of the inequalities x > 2 and x < 2 true. Change one or both of the inequalities so that there is at least one value that makes both inequalities true.
(Multiple possible correct answers)
Solve the inequality, then graph the solution set on a number line.
(1/3)c – 2.5 ≥ 1/2
c ≥ 9
Write and solve an inequality to answer this question:
A farmer ties 4 bags on his mule. The mule can carry up to 200 lb and each bag ways 30 lb. How many more bags can the mule carry?
4(30) + 30b ≤ 200
or
120 + 30b ≤ 200
b ≤ 2.66...
The mule can carry up to 2 more bags.
A guitar with a regular price of $450 is on sale at a 35% discount. What is the sale price of the guitar?
$292.50