Linear Equation and Inequalities

Ms. Carol spends $75 each month eating out at fast food restaurants. She plans to reduce her spending for fast food by $5 each month until she has reduced her spending to $25 per month. Which equation can be used to determine m, the number of months it will take for Ms. Carol to reduce her fast food spending to $25 per month?

• 1/3(5m + 75) = 25

• 75 - 5m = 25

• 5m + 75m = 25

• 1/3m + 75 = 25

Tags

CCSS.HSA.CED.A.3

The sum of negative twenty-nine and twenty-eight is negative seven more than a number. What is the number?

• 5

• 4

• 6

• 8

Tags

CCSS.6.EE.B.7

Mrs. Mandela is buying folding table that are on sale for $25. If she has $85, which inequality can be solved to show the number of tables 't' can she buy?

• 25t ≤ 85

• 25t ≥ 85

• 25t > 85

• 25t < 85

Tags

CCSS.6.EE.B.8

Frost is helping the manager of the local produce marker to expand her business by distributing flyers around the neighborhood. He gets paid $15 a day as well as $0.10 for every flyer he distributes. Frost would like to earn at least $85 each day. Which of the following represents this situation, where x is the number of flyers distributed?

• 15 + 0.10x ≤ 85

• 15 + x ≤ 85x

• 15 + 0.10x ≥ 85

• 15 + x ≥ 85

Tags

CCSS.7.EE.B.4B

Jonathan is considering accepting one of two sales positions. MNC Company offers a yearly salary of $48,000. PQR Company offers a yearly salary of $41,000 plus a 2% annual commission on sales. For what amount of sales 's' is the salary at PQR Company greater than the salary at MNC Company?

• s > 8000

• s > 35,000

• s > 80,000

• s > 350,000

Solve 4/s = -2/9

• -4.5

• 18

• -18

• 4.5

Tags

CCSS.6.EE.B.7

Solve m - 9 ≤ 17

• m ≤ 8

• m ≥ 8

• m ≤ 26

• m ≥ 26

Tags

CCSS.7.EE.B.4B

Rhea scored p points in the first half of the basketball game. In the second half, she scored 5 more than 1/4 of the number of points she scored in the first half of the game. Altogether, she scored 25 points in the game. The following equation represents this situation where p represents the number of points Rhea scored in the first half.

p + (1/4p + 5) = 25

How many points Rhea scored In the first half?

• 16

• 19

• 12

• 18

Tags

CCSS.8.EE.C.7B

A manufacturing company is building a rectangular room in their warehouse to store their products. The length of the room is 1 more than 4 times its width. The perimeter of the room is 62 meters. What are the dimensions of the room?

perimeter = ( L + W) x 2

• w = 8 m, l = 23 m

• w = 12.5 m, l = 51m

• w = 6 m, l = 25 m

• w = 6.25 m, l = 24.75 m

Which of the following is the solution to this inequality?

3(5+2n) ≥ 7 + 10n

• n ≥ 2

• n ≥ -2

• n ≤ 2

• n ≤ -2