Inequalities
Solve: x + 5 < 12
x < 7
2x + 3 = 9
x = 3
1/2 + 1/4
3/4
Solve: x/4 = 2/3
x = 8/3 (2 2/3)
A movie ticket costs $8. If you spend $24, how many tickets did you buy?
→ 3 tickets
3y − 2 ≥ 7
y ≥ 3
3y − 4 = 11
y = 5
3/4 − 1/8
5/8
Solve: 3/5 = y/10
y = 6
You need at least 60 points to pass. You have 45. Write and solve an inequality for how many more points you need?
45 + p ≥ 60 → p ≥ 15
2x + 4 ≤ 10
x ≤ 3
a/4 + 2 = 6
a = 16
2/3 × 5/6
5/9
A recipe needs 2 cups of sugar for 6 cookies. How many cups for 18 cookies?
→ 6 cups
Twice a number plus 3 equals 15. What’s the number?
→ n = 6
A bus holds at most 40 people. If 25 are on board, write and solve an inequality for how many more can get on?
25 + p ≤ 40 → p ≤ 15
5b − 6 = 14
b = 4
3/5 ÷ 2/3
9/10
A map scale is 1 in. = 5 miles. If two towns are 3 in. apart, how many miles apart are they?
15 miles
A babysitter earns $6 per hour plus a $4 bonus. She wants at least $34. Write and solve an inequality?
6h + 4 ≥ 34 → h ≥ 5 hours
Solve and graph: 4x − 7 > 9
4x > 16 → x > 4
2(m + 3) = 18
m = 6
1 1/2 + 2 2/3
4 1/6
If 4 pencils cost $2, how much do 10 pencils cost?
→ $5
A $120 bicycle is discounted by 1/4. What’s the sale price?
$90