Equations and Inequalities II

Which description represents an equation?

• A number less than or equal to five and one-half

• A number plus ten is fifty five

• Three times a number plus twenty

• A number to the fourth power

There were 45 people on the train after 5 people got off the train. Which equation can be used to find x, the total number of people on the train before 5 people got off?

• 5x = 45

• x - 5 = 45

• x + 5 = 45

A basketball team was losing by 14 points. Then 2 players each scored an equal number of points, and the team won the game. The opposing team did not score any more points. The inequality 2p > 14 can be used to determine the number of points each player scored to win the game.

What is the solution to the inequality?

Max reads 3 books each week. The inequality 3w ≥ 15 can be used to determine the number of weeks it would take her to read at least 15 books. What is the solution to the inequality?

• Zoe divided x pencils into 7 boxes, and there were at most 10 pencils in each box.

• Zoe separated x books on 7 shelves, and there were more than 10 books on each shelf.

• Zoe poured x ounces of juice into 7 cups, and each cup had no less than 10 ounces of juice.

• Zoe shared x brownies among 7 people, and each person received less than 5 brownies.

An equation is shown. 12x - 3x = 81 What is the solution to the equation?

• x = -9

• x = 1/9

• x = 9

• x = -1/9

An inequality is shown. 6w < 84 What is the solution to this inequality?

• w > 1/14

• w < 14

• w < 1/14

• w > 14

A pie is sliced into six equal sections. The circle has 360°. What is the value of p, the number of degrees in each section of the pie?

• p = 30

• p = 45

• p = 60

• p = 90

Aidan walks no more than 20 dogs on Saturdays. Ms. Love has 5 dogs that Aidan walks. The inequality shown below can be used to find x, the number of dogs Aidan can walk on Saturday in addition to Ms. Love's dogs.

x + 5 ≤ 20

Which inequality represents all possible values of x?

• x ≥ 10

• x ≤ 10

• x ≥ 15

• x ≤ 15

Which equation is true when x = 5?

• 3x = 15

• 3x = 35

• x - 5 = 10

• x + 5 = -10