Algebraic Expressions

Adding/Subtracting Like Terms

100

x - 5 + 4x - 1

5x - 6

200

4x - 4 - 3x + 2

x - 2

300

3x - 5 - 5 + 5x

8x - 10

400

9x - 7x + 2x² - 3x³

2x + 2x² - 3x³

500

3x² - 2x + 5x² - 4x

8x² - 6x

Multiplying/Dividing Like Terms

100

5*3x

15x

200

40x² / 4x

10x

300

4x*(5x)/2

10x²

400

turn this into one fraction: 

x/2 + x/3

3x/6 + 2x/6 = 5x/6

500

3x/5 * 10/6 - x/2

x/2

Turning Words into Math

100

The quotient when x is split into 10 equal pieces

x/10

200

Cindy made 3 cakes. She used p sticks of butter in all. How many sticks of butter did she use for each cake? Express the answer in terms of p.

p/3

300

Ms. Chong graded papers at a rate of x papers per minute. How many papers can she grade in 15 minutes? 

15x

400

Brooklyn flew x miles. Gabby flew 20 miles less than Brooklyn. Emily flew 80 miles more than Gabby. How far did Emily fly?

x-20+80 = x+60

500

Lydia and Sophia have 25 pandas and 15 basketballs. They release y pandas back into the wild and buy k more basketballs. How many pandas do they have? How many basketballs do they have? Express the answer in terms of y and k.

25-y and 15+k

Evaluate if x=...

100

Evaluate 3 + 2x/5

if x = 10

3+4=7

200

Evaluate 3x² + x 

if x=3

3(3²) + 3 = 3(9) + 3 = 27+3=30

300

Evaluate x/4 + x 

if x=1/2

(1/2)/4 + 1/2 = 1/2 * 1/4 + 1/2

= 1/8 + 1/2 = 5/8

400

Evaluate x/2 + x/4 

if x=1/2

(1/2)/2 + (1/2)/4 = (1/2)*1/2 + (1/2)*1/4 

= 1/4 + 1/8 = 2/8 + 1/8 = 3/8

500

Evaluate 8x − 4x + 3x if x=1/7

8x - 4x +3x = 7x = 7(1/7) = 1

Distributive Property

100

Use the reverse distributive property to factor: 4x - 12

4(x-3)

200

Use the reverse distributive property to factor: 3x + 9

3(x+3)

300

Distribute: 5(3x + 3) - 1

15x + 15 - 1 = 15x + 14

400

Use the reverse distributive property to factor 14x - 12

2(7x - 6) 

500

Distribute: 3(4x − 1+x²)

12x - 3 + 3x²