# Word Problems Practice

Name:______Date:______

Mr. Greenberg Math 433

**Word Problems Practice**

Solve each word problem. Be sure to define any variables and clearly indicate your answer.

- A teacher wants to take a group of students to the Museum of Math. The entrance fee is $12 per person. If more than 100 people go, everyone’s fee is reduced by $0.75 for each person over 100 people. At least how many people must go to make the fee less than $8 per person?

- Ralph needs to earn a B in his Geology class. His current test scores are 91, 94, 79, and 74. His final exam is worth 6 test scores. In order toearn a B, Ralph's average must lie between 80 and 89 inclusive. What range of scores can Ralph receive on the final exam to earn a B in the course?

- The length of a rectangle is 8 meters less than 5 times the width. If the perimeter of the rectangle is at most 104 meters, find the greatest possible width of the rectangle.

- Two siblings Edwin and Rhea are both going skiing but chose different payment plans. Edwin’s plan charges $45 for rentals and $5.25 per lift up the mountain. Rhea’s plan was a bundle where her entire day cost $108. What is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea?

- Natasha is planning a school celebration and wants to have live music and food for everyone who attends. She has found a band that will charge her $750 and a caterer who will provide snacks and drinks for $6.50 per person. If her goal is to keep the average cost per person between $8 and $9, how many people, p, must attend?

- If the absolute value of the sum of three consecutive integers is equal to 13 more than twice the smallest integer, find all possible values of the integers.

Name:______Date:______

Mr. Greenberg Math 433

Mixed Review

- Ifx= –3, what is the value of |x– 4| –x2?

- What is the result when (2x− 3)2is subtracted from 5x2?

- Solve for x:

- The cost of three notebooks and four pencils is $8.50. The cost of five notebooks and eight pencils is $14.50. Determine the cost of one notebook and the cost of one pencil.

- Given thatab, solve forxin terms ofaandb:

b(x− 3) ≥ax+ 7b

- Determine whether each statement is true or false:

If ab, then ac > bc. ______

If ab, then a – cb – c. ______

If ab, then a2b2.______

- Simplify:

(-2)4(-y)3 / 3x – 2(5 – 2x) /

- Solve A = 2πr(r + h) for h.

- The school book store sold 8 more pencils than pens one day. The cost of a pencil is $0.05, and the cost of a pen is $0.20. If the day’s sales of pens and pencils totaled $8.90, how many pencils were sold.