1. (7.10B) Which number line represents the solution to the equation 3𝑥+4=19?

2. 2. (7.10B) Which number line represents the solution to the inequality 6𝑛+4≥28?

3. 3. (7.10A) Sam needs 90 meters of fence to go around a rectangular garden. The length l of the garden is three times its width w. l w
Which equation does NOT give the correct value for w?
𝑤+3𝑤=90
2∙𝑤+2∙3𝑤=90
𝑤+3𝑤+𝑤+3𝑤=90
2∙ 3𝑤+𝑤 =90

4. 4. (7. 10A) A prom ticket at Smith High School is $120
4. (7.10A) A prom ticket at Smith High School is $120. Tom is going to save money for the ticket by walking his neighbor’s dog for $15 per week. If Tom already has saved $22, what is the minimum number of weeks Tom must walk the dog to earn enough to pay for the prom ticket? Choose the best inequality to represent this problem situation.
22+15𝑥≥120
15+22𝑥≥120
15+22 𝑥≥120
22+15𝑥≤120

5. 5.(7.11B) Which of the following values is a solution to the inequality −2𝑥−9<7?7 -8 4
I only
I and III
II only
I, II and III

6. 6. (7.11B) If 𝑥=−4, which of the following equations is true?
  1 2 𝑥+2=0
1 2 𝑥−3=−5
− 1 2 𝑥+3=10
I only C. I and III
I and II D. I, II and III

7. 7. (7.10C) Which situation does the equation
5= 1 4 𝑥+2.25 represent?
Amy wants to bike 5 miles today. She already biked 2.25 miles. Each lap around the track is mile. How many more laps does Amy need to bike?
Amy wants to run 5 miles today. She already ran mile. Each lap around the track is 2.25 miles. How many more laps does Amy need to run?
Amy has already run 5 miles today. She wants to run 2.25 miles more. Each lap around the track is mile. How many more laps does Amy need to run?
Amy went to a track and biked 5 miles in the morning and 2.25 miles in the afternoon. Each lap around the track is mile. How many laps did Amy bike altogether?

8. 8. (7.10C) Which situation can be modeled by the inequality 60−15𝑥≥7?
You borrowed $60 from your older brother. You pay him $7 a week and need to pay him back within 15 weeks.
You can buy playlists in packages of 15 songs. You have $60 to spend but want to have more than $7 left.
You owe your parents $60 and plan to pay them $15 a week until you owe them exactly $7.
You have $60 to spend on hats at the mall, but you need to save at least $7 for lunch. You plan to spend the rest on hats that cost $15 each.

9. 9. (7.11A) What value of x makes the equation modeled below true?
𝑥= 3 8
𝑥= 8 3
𝑥= 4 3
𝑥= 3 2

10. 10. (7.11A) What value of x will make the equation 2𝑥+1.5=8 true?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

11. 11. (7.11A) Which solution fits the model of the inequality shown below?
3𝑥+4<13
𝐴. 𝑥> B. 𝑥<3 C. 𝑥≤ D. 𝑥=3

12. 12 .(7.11A) What value of n makes the inequality modeled below true?