Expressions and Equations

Combining Like Terms

100

Find the sum of the two expressions. (2/5

C. 3/5

200

Maggie is buying a jacket. The expression shown represents the sales tax on the jacket price,

C. 1.08

300

Find the difference of the two expressions. (2/5

A. . 1/5

400

Which expression represents that x was doubled and then decreased by 25%? A. 2x – 0.25x B. 0.25x – 2x C. 2(x – 0.25x) D. 2x – (2x – 0.25x)

D. 2x – (2x – 0.25x)

500

The school basketball team is given money to purchase equipment for the season. The team receives $10 per player plus a $30. Let p represent the number of players on the team. Which expression represents this situation? A. $40p B. $10p + 30 C. $10p - 30 D. $20p

B. $10p + 30

Solving Equations

100

8r - 8 = -32

r = -3

200

y/-6.5 + 2 = -4

y = 39

300

10 (5 + t) = 90

t = 4

400

b/-8 + 10 = 4

b = 48

500

7.3k + 5.7 = 49.5

k = 6

Writing Equations

100

Savoi made a donation to charity. His grandfather agreed to add $4.00 to Savoi's donation amount and then add half of that sum. Savoi's grandfather donated $4.25. Find the amount of Savoi's donation.

$4.50

200

Sebastian bought a 3D printer for $1250 and some cartridges for $80 each. She paid a total of $1650. How many cartridges did Sebastian buy?

5 cartridges

300

A fun park charges $15.50 per day admission plus $1.50 for each ride. Jake has $26 to spend on admission and rides. How many rides can Jake go on?

7 rides

400

A taxi driver charges $3.25 for the first mile of the trip and $1.25 for each mile after that. He charges a customer $17 for a ride. Find the distance the customer traveled in the taxi.

11 miles

500

The drama club is planning a field trip. Two-thirds of the drama club will attend, in addition to 8 teachers. There are 48 people going on the field trip. Find the number of students in the drama club.

60 students

Solving Inequalities

100

Solve the inequality 1 > - y/6

y > -6

200

Solve the inequality -9x ≤ 18

x ≥ -2

300

Solve the inequality 11 + 4b ≥ 75

b ≥ 16

400

Solve the inequality. x/3 -10 ≤ 11

x ≤ 63

500

Solve the inequality. -4/5x - 13/5 > -9

x < 8

Writing Inequalities

100

Every month, Tracie writes a check for $25 to pay off part of a loan. She has enough in her checking account to pay no more than $450 towards the loan. For how many months can Tracie send payments for the loan?

m ≤ 18; Tracie can pay for no more than 18 months.

200

A marine submersible descends more than 40 feet below sea level. As it descends from sea level, the change in elevation is -5 feet per second. For how many seconds does it descend?

The submersible descends for more than 8 seconds. -5t < -40

300

Charlene is a writer who is going on a trip. She has brought several copies of her latest book in her suitcase. The suitcase itself weighs 5 pounds, and each book weighs 3 pounds. If her full suitcase can weigh no more than 50 pounds, how many books can she bring?

At most 15 books

400

Trevor is writing a paper that must be at least 50,000 words long. He has already written 23,210 words. Find the average number of words Trevor must write per week if he wants to finish the paper in the next 5 weeks.

5,358 words 23,210 + 5w ≥ 50,000

500

Tomas has run 20 miles so far this week. If he intends to run 50 miles or less, how many miles on average should he run on each of the 2 days remaining in the week?

15 miles 2x + 20 ≤ 50