Algebra I 2.1-2.4

You save $15 per week to purchase a $120 dollar bike. Write and solve an inequality to find the number of weeks you need to save to purchase the bike.

15w ≥ 120, w ≥ 8

The maximum volume of an American white pelican's bill is about 700 cubic inches. A pelican scoops up 100 cubic inches of water. Write and solve an inequality that shows how much more the pelican's bill can contain.

V + 100 ≤ 700, V ≤ 600

Solve the inequality: 8(3g - 2) ≤ 12(2g + 1)

All real numbers

The requirements for a lifeguard training course are: 1. Swim at least 100 yards 2. Tread water for at least five minutes 3. Swim ten yards or more underwater without taking a breath Write and graph three inequalities the represent the requirements.

1. s ≥ 100, closed dot at 100 travelling right 2. t ≥ 5, closed dot at 5 travelling right 3. u ≥ 10, closed dot at 10 travelling right

Write this sentence as an inequality: Twelve is no more than the sum of -1.5 times a number w and 4.

12 ≤ -1.5 * 4w

Solve the inequality: 6(2x - 1) ≥ 3(4x + 1)

No solution

The requirements for a lifeguard training course are: 1. Swim at least 100 yards 2. Tread water for at least five minutes 3. Swim ten yards or more underwater without taking a breath You can swim 250 feet, tread water for 6 minutes, and swim 35 feet underwater without taking a breath. Do you satisfy the requirements of the course? Explain.

No. One of the requirements is to swim 100 yards, which is equal to 300 feet. if you only swim 250 feet you do not meet this requirement.

You save $15 per week to purchase a $120 dollar bike. Your parents give you $65 to help you buy the new bike. How does this affect your answer in the last question? Use an inequality to justify your answer.

The number of weeks is reduced. 65 + 15w ≥ 120, w ≥ 3.67

Write graph 3 as an inequality.

n < 0

Write graph 4 as an inequality.

n ≥ 8

Solve the inequality and graph the solution: 3p ≥ 18

p ≥ 6, closed dot at 6 travelling right

Solve the inequality and graph the solution: 9 + q ≤ 15

q ≤ 6, closed dot at 6 travelling left

Solve the inequality and graph the solution: 6 > w ÷ -2

w > -12, open dot at -12 travelling right

Solve the inequality and graph the solution: -20x > 5

x < -1/4, open dot at -1/4 travelling left

Solve the inequality and graph the solution: -3 < y - 4

y > 1, open dot at 1 travelling right

Solve the inequality: 3y - 7 ≥ 17

y ≥ 8

Write this sentence as an inequality: A number z minus 6 is greater than or equal to 1.

z - 6 ≥ 1

Solve the inequality and graph the solution: z - (-7) < 5

z < -2, open dot at 5 travelling left