Unit 2 Part 1 Two-Step Equations and Inequalities

Mitchell & Jack are helping Mrs Dudley pack up books for the summer. The truck that is taking the books has a total weight limit of 1,400 pounds, and they have already loaded computers that total 200 pounds. They are putting 30 pounds worth of books in the boxes before they load them on the truck. Which inequality represents all of the possible values of x, the number of full boxes that can be loaded on the truck?

• 200x + 30 ≥ 1,400

• 30x + 200 ≥ 1,400

• 200x + 30 ≤ 1,400

• 30x + 200 ≤ 1,400

Tags

CCSS.7.EE.B.4B

Baron & Brodie need 2,000 signatures in order to pass a 4 day school week bill. They have collected 750 signatures so far, and there are 5 weeks remaining to collect signatures. Which number line represents the number of signatures the group needs to collect each week?

• F

• G

• H

• J

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Bryce has 14 jolly ranchers and he gives away 3 jolly ranchers to friends in class. How many friends can he give jolly ranchers to if he wants to keep more than 2 jolly ranchers for himself? 14- 3f > 2

• f > 4

• f < 4

• f > -4

• f < -4

Tags

CCSS.7.EE.B.4B

Which situation could be represented by this equation? 345 + 23x = 677

• Ava is reading a book with 345 pages total. If she reads 23 pages a day for x days, she will have 677 left to read.

• Joneer is reading a book with 677 pages total. If she has already read 345 and plans to read 23 pages a day, how many days, x, will she need to read at that pace until she finishes the entire book?

• Yara has $345 in her bank account. If she withdraws $677, how many days, x, remain until she has $23 left?

• Abigail has $677 in her bank account.If she withdraws $23 a day, how many days, x, remain until she has $345 left?

Tags

CCSS.HSA.CED.A.3

Andres is planning a party and has a budget constraint. He needs to choose from a set of items priced at {-10, -6, 2, 4} dollars. Which prices satisfy the condition that -0.5x + 5 ≤ 7

(solve for x. only 1 correct answer)

• -10, -6, and -2 only

• 2 and 4 only

• -6, -2, and 4 only

• All of the values in the set satisfy the inequality.

Harper and her 3 friends (Zoey, Aubrey, and Lexi) went to an amusement park. They bought their tickets online. At the park, they spent $109.99 throughout the day for food and souvenirs. The total cost of the trip, was $347.95. Which equation represents the total cost?

• 4t + 109.99 = 347.95

• 4 + 109.99t = 347.95

• 4(t + 109.99) = 347.95

• 4(4 + 109.99t) = 347.95

Tags

CCSS.HSA.CED.A.3

Which situation can be represented by this inequality? 35 ≥ 3.50 + 2.50x

• Avery can spend at least $35. She has already spent $2.50. How many items, x, worth $3.50 can she purchase?

• Sophia can spend at least $35. She has already spent $3.50. How many items, x, worth $2.50 can she purchase?

• Anaya has $35 to spend. She has already spent $2.50. How many items, x, worth $3.50 can he purchase?

• Nolan has $35 to spend. He already has spent 3.50. How many items, x, worth $2.50 can he purchase?

Tags

CCSS.7.EE.B.4B

Colton is saving money to buy a motorcycle. He has already saved $300 and plans to save $250 each month. Which number line represents the solution to the inequality 250x + 300 ≥ 1,550 to find out how many months he needs to save to reach his goal?

• F

• G

• H

• J

Tags

CCSS.7.EE.B.4B

Samiya is planning an end of year party at the ice rink. The rink charges $80 to rent the location plus 12.50 per guest. She does not want to exceed a budget of $200. What is the maximum number of guests she can invite?

• 8 guests

• 9 guests

• 10 guests

• 11 guests

Ali is buying b packs of pencils, each costing $2. Which equation is true when b = 2?

• 12 + 3b = -24

• 9 - 6b = 3

• 4(b + 3) = 20

• 22 - 2b = 15

Tags

CCSS.6.EE.B.5