Question

independent practice — multiple choice(module 4, lesson 18-20)
name: ________ class: 6a 6b 6c dream college: ______ date: ______
directions: choose the best answer for each item.

1. write an inequality that represents.

“the number (n) is greater than -3.” answer: ________

1. which graph shows the solution to (x < 4)?

a. • at 4, shade right b. ○ at 4, shade left c. • at 4, shade left d. ○ at 4, shade right

1. if the temperature (t) in a city is at most 5°c, compose an inequality that matches?

answer: ________

1. write an inequality that matches this graph?

←──────○── 2 3 4 5 answer: ________

1. let (m) represent a number. which equation represents “(m) equals 8”?

a. (m < 8) b. (m = 8) c. (m > 8) d. (m __ 8)

1. which inequality is true if (a) represents a temperature lower than freezing (0°c)?

a. (a ____ 0) b. (a > 0) c. (a < 0) d. (a = 0)

1. which number makes the inequality true?

y < -1
a 0 b 2 c -2 d 1

Explanation:

Question 1

Step1: Understand the phrase

The phrase says "the number \( n \) is greater than -3". In inequality notation, "greater than" is represented by \( > \).

Step2: Write the inequality

So the inequality is \( n > -3 \).

For the inequality \( x < 4 \), the solution set includes all numbers less than 4. On a number line, an open circle (since 4 is not included) is placed at 4, and we shade to the left (towards numbers less than 4). Option A has a closed circle (which would be for \( \leq \) or \( \geq \)) and shades right (numbers greater than 4), so it's wrong. Option C has a closed circle, wrong. Option D shades right (numbers greater than 4), wrong. Option B has an open circle at 4 and shades left, which matches \( x < 4 \).

Step1: Understand "at most"

"At most" means the number (or in this case, temperature \( t \)) is less than or equal to the given value (5°C).

Step2: Write the inequality

The symbol for "less than or equal to" is \( \leq \), so the inequality is \( t \leq 5 \).

Answer:

\( n > -3 \)

Question 2