Expressions and Equations

Distribution

100

4(x+z)

4x + 4z 

200

6 (2 + b)

12 + 6b

300

7 (-5 + 2r)

-35 + 14r

400

-11 (-4 + -2r)

44 + 22r

500

-12 (14 - 7r) 

-168r - 84r

Factoring

100

6r + 12

6 (r + 2)

200

35z + 7

7 (5z + 1)

300

88 - 8x

8 (11 - x)

400

-12 + -4x 

4 (-3 + -x)

500

-96 - 24b

24 ( -4 - b)

Like Terms

100

2x + 3x

5x

200

-12b + -7b

-19b

300

-2x + 3r - 5x

-7x + 3r

400

-6x + 77b + -48x + -8b 

-54x + 69b

500

2x² + r +6x²

8x² + r

Expressions

100

p minus 9

p - 9

200

8 times the sum of 6 and f

(6 + f) x 8

300

Two-fifths the sum of 2 and B

What is 2/5(2 + r)?

400

The product of r and 8 is subtracted from 5/6 of h

What is 5/6h - 8r ?

500

n cubed minus the product of 8 and c plus 4

What is n³ - (8c +4) ?

Word Problems

100

The equation for:

Fred sold half of his comic books and then bought 6 more. He now has 12. C stands for the original number of comic books.

What is 1/2C + 6 = 12?

200

The equation for this problem: 

On Monday, 284 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. 

6B + 8 = 284 where B is the number of students on the bus

300

Carlos spent 2 hours doing his homework. He spent 1/4 of his time practicing multiplication facts. How many minutes did Carlos spend practicing his multiplication facts? 

30 minutes

400

Three consecutive multiples of 24 equal 144. What is the smallest number?

24

500

For all x in the domain of function x+1/x³-x. What is this function equivalent to?

1/x²-x