Math Problem Solving

Jeff plays a game with 18 rounds. His goal is to keep his score under 104 points. He scores a combined total of 14 points in the first 3 rounds. What is the average number of points that Jeff has to score less than in each remaining round to meet his goal?

Stella buys cupcakes for a party with 26 guests. She buys 10 vanilla cupcakes and there are 4 chocolate cupcakes in each box. She wants to make sure she has enough for each guest to have at least one cupcake. Which inequality can Stella use to determine the number of boxes of chocolate cupcakes, c, she should buy?

• 26 ≤ 4c + 10

• 26 ≥ 4c + 10

• 26 ≤ 10c + 4

• 26 ≥ 10c + 4

Tags

CCSS.7.EE.B.4B

Hannah buys a notebook for $6.50 and x pens for $2.25 each. She spends less than $20.00 in all. Select all of the numbers of pens, x, Hannah could have bought.

• 4

• 5

• 6

• 7

• 8

Nick’s band earns $250 for every show, s, it performs. The band has earned $1500 so far this summer. Create an inequality that shows how many shows, s, the band needs to perform to have earned more than $2000 this summer.

Tags

CCSS.7.EE.B.4B

An inequality is shown. 2x - 4 > 12 Which graph represents all solutions to the inequality?

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

A truck weighs 35,000 pounds before being loaded with 20 barrels of road salt. Each barrel contains w pounds of road salt. The truck’s total weight, including the barrels of road salt, is less than 80,000 pounds. Create an inequality that can be used to find all possible values of w.

Tags

CCSS.7.EE.B.4B

An inequality is shown. −4x − 5 > 19 Which number line represents all solutions to this inequality?

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

Which expression is equivalent to $8.1(4c + 2) - 3(6.2c + 5)$?

• 15c

• 13.8c + 7

• 10.2c + 1.2

• 13.8c + 1.2

Tags

CCSS.6.EE.A.3

Select all of the expressions that are equivalent to $6 + 4(3b - 8) - 4b$.

• -18b

• 2(4b - 13)

• 12b - 4b - 26

• 10(3b - 8) - 4b

• 6 - 8 + 12b - 4b

Tags

CCSS.6.EE.A.4

An expression is shown: $100q - 12 - 2q$. Enter values to create an equivalent expression.

Tags

CCSS.6.EE.A.4