Algebra Skill Set

Solve using the zero product property

(2x-7)(x+2)=0

• x= {-2, 7}

• x= {-3.5, 2}

• x={2, 7}

• x={-2, 3.5}

Claire’s stamp collection has 100 stamps and she buys 5 new stamps each month. Harriet’s collection has 400 stamps and she sells 15 stamps per month. Which inequality below could be used to determine after how many months Claire will have more stamps than Harriet?

• 100 - 5x > 400 + 15x

• 100 + 5x > 400 - 15x

• 100 + 5x < 400 - 15x

Which is the solution of
-4 - 6m > -9m + 8?

• m < -4

• m > 4

• m < 15

• m > 36

Annie wants to spend at most $12.50 on school supplies. She needs to purchase a binder (cost $7.00) and wants to spend the rest on pens, which cost $0.75 each. Which inequality represents this situation, where x is the number of pens Annie can buy?

Which number is a possible solution to the inequality below?

• 0

• -4

• -20

• 5

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. Which inequality below could be used to determine after how many months James will weigh less than Joey?

• 220 + 2x > 176 + 4x

• 220 + 2x < 176 + 4x

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. Which inequality below can be used to determine how many cars she has to wash to have enough money?

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Work this one out on paper.

Solve.

-138 ≥ -6 (6b − 7)

• b ≤ 5

• b ≤ -5

• b ≥ 5

• b ≥ -5

Solve the inequality

• x ≤ -17

• x ≤ -11

• x ≤ 7

• x ≤ -35

Ruby set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal? Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200