Chapter 7 Linear Inequalities

1) Q5. Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.

A x > 8

B x ≤ 8

C x < 8

D x ≥ 8

The phrase "You and your friends ate more than 8 slices of pizza at the party" implies that the number of slices of pizza eaten is greater than 8. Therefore, the correct answer is A. x > 8.

Explanation

The phrase "You and your friends ate more than 8 slices of pizza at the party" implies that the number of slices of pizza eaten is greater than 8. Therefore, the correct answer is A. x > 8.

2) Q2. Solve and graph the inequality. 77 ≤ 5 + 8n

A

B

C

D

The correct answer is D because when solving the inequality, we subtract 5 from both sides to isolate the variable: 77 - 5 ≤ 5 + 8n - 5. Simplifying, we get 72 ≤ 8n. Then, we divide both sides by 8 to solve for n: 9 ≤ n. This means that n is greater than or equal to 9. When graphing this inequality on a number line, we shade the region to the right of 9 to represent all the possible values of n that satisfy the inequality.

Explanation

The correct answer is D because when solving the inequality, we subtract 5 from both sides to isolate the variable: 77 - 5 ≤ 5 + 8n - 5. Simplifying, we get 72 ≤ 8n. Then, we divide both sides by 8 to solve for n: 9 ≤ n. This means that n is greater than or equal to 9. When graphing this inequality on a number line, we shade the region to the right of 9 to represent all the possible values of n that satisfy the inequality.

3) Q3. What inequality does the number line graph represent?

A x ≤ 4

B x ≥ -4

C x < -4

D x < 4

The number line graph represents the inequality x

Explanation

The number line graph represents the inequality x

4) Q4. Translate the following phrase: Jessica must be at least 48 inches to ride the roller coaster.

A j > 48

B j ≤ 48

C j < 48

D j ≥ 48

The phrase "Jessica must be at least 48 inches to ride the roller coaster" implies that Jessica's height should be equal to or greater than 48 inches. The symbol ">=" represents "greater than or equal to", so option D, "j >= 48", correctly translates the phrase.

Explanation

The phrase "Jessica must be at least 48 inches to ride the roller coaster" implies that Jessica's height should be equal to or greater than 48 inches. The symbol ">=" represents "greater than or equal to", so option D, "j >= 48", correctly translates the phrase.

5) Question 1

A

B

C

D

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Explanation

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