Solving Multi-Step Inequalities in Pre-Algebra

Charlene has two flash drives, each holding the same amount of data, d. If she deletes 1 GB from each drive, how can the total data left be represented?

• d - 2

• 2d - 2

• 2d - 1

• d - 1

What is the maximum amount of data that can be transferred to an 8 GB memory card if each flash drive initially holds d GB?

• d - 1 ≤ 8

• 2d - 1 ≤ 8

• 2d - 2 ≤ 8

• d - 2 ≤ 8

If each flash drive has 5 GB of data, can all the data be transferred to the 8 GB memory card?

• No, it exceeds the memory card capacity

• Yes, if 1 GB is deleted from each drive

• Yes, without any deletion

• No, even with deletion, it won't fit

Gabriella gives a clue about her age: Add 13 to the product of 3 and the sum of her age and 2, and you get a number greater than her height in inches. If her height is 55 inches, what is the inequality?

• 3(x + 2) - 13 < 55

• 3(x + 2) + 13 < 55

• 3(x + 2) + 13 > 55

• 3(x + 2) - 13 > 55

What is the first step in solving the inequality 3(x + 2) + 13 > 55?

• Multiply by 3

• Add 13

• Divide by 3

• Subtract 13

Philippe's age f, twice the difference of his age and 4 is at least 2. What is the inequality?

• 2(f + 4) ≤ 2

• 2(f - 4) ≤ 2

• 2(f + 4) ≥ 2

• 2(f - 4) ≥ 2

What is the solution to the inequality 2(f - 4) ≥ 2?

• f ≥ 5

• f ≤ 6

• f ≤ 5

• f ≥ 6

When solving multi-step inequalities, what must you remember when dividing or multiplying by a negative number?

• Keep the inequality sign the same

• Subtract the negative number from both sides

• Flip the inequality sign

• Add the negative number to both sides

In the inequality -1 - 6(6 + 2x) < 11, what is the first step?

• Subtract 6

• Divide by -6

• Distribute -6

• Add 1 to both sides

What is the solution to the inequality -1 - 6(6 + 2x) < 11?

• x > -4

• x < -4

• x < 4

• x > 4