Equations and Expressions

Writing and Evaluating Algebraic Expressions

100

Nine fourteenths of 6x, and then subtract 10

9/14 x 6x - 10

200

Subtract 20 from 15/23 b

15/23 b – 20

300

Multiply 5r by 7, and then divide the product by 15  

5r × 7/15 or  7r/3

400

the sum of 5r and 7, divided by 15

5r + 7/15

500

20 less than one third of b

1/3b - 20

Simplifying

100

2p + 8p + 3p

13p

200

-4q + 7q - 5q

12y

300

7a + (-5 - 3a)

4a - 5

400

(6q - 8p) + (-7q)

-q - 8p

500

9e - 3 + 5e + 8

14e + 5

Monomial or Binomial?

100

Describe the expression as a monomial or binomial. If the expression is a monomial, state its degree if needed.

4x² - y

 

binomial

200

Describe the expression as a monomial or binomial. If the expression is a monomial, state its degree. 

12a³c

monomial of degree 4

300

Describe the expression as a monomial or binomial. If the expression is a monomial, state its degree.

82n + 5n + 5n²

Trinomial 

400

5n + 3n + 3x² - 4

Polynomial

500

3w + 5n²

Binomial

Equations

100

9p + 5 = 213

p = -2

200

4(3x - 2) = 16

x = 2

300

5.7 - 0.3y = 6.9

y = 4

400

9y - 5 = 15y - 17

2 = y

500

5(2 - 3y) + 9y = 4(3 + 2y)

1 = y

Inequalities

100

9x + 4 > 5x - 8

x < -3

200

27 - y < 10

y < -17

300

11 + x < 7 + 5x

1 < x

400

Reuben has scores of 70, 75, 83, and 80 on four French quizzes. What score must he get on the next quiz to achieve an average score of at least 80?

Reuben must score at least 92 on the next quiz.

500

To raise money for a children’s charity, a company is selling trail rides. The cost of going on a trail ride is a flat rate of $50 plus $15 per hour of riding. If Mrs. Beckham plans to donate at most $80, determine the number of hours she can spend on the trail ride.

She can spend at most 2 hours on the trail ride.