Basic Algebra Multiplication and Division

Multiplying Algebraic Terms

100

3x * 2

6x

200

6x * 4y

24xy

300

4x * 16xy

64x²y

400

10abc * 0.5a²c

5a³bc²

500

7²a³b²c¹ * 3²a¹b²c³

441a⁴b⁴c⁴

Dividing Algebraic Terms

100

(4x)/2

2x

200

(16xy)/4x

4y

300

36x²y/12xy

3x

400

120x²y³/50x²yz

12y²/5z

500

24x⁴y¹²z⁴/9x⁵y¹¹z⁵

8y/xz

Multiplying Algebraic Fractions

100

2x/3 * 1/3

2x/9

200

3x/4 * 3/7

9x/28

300

2a/3 * 4ab/5

8a²b/15

400

4ab²/5 * 3a/6b

3a²b/5

500

25a²b²c/100b³ * 36a/6b

3a³c/2b²

Dividing Algebraic Fractions

100

a/2 ÷ 1/2

a

200

2b/3 ÷ 1/2

4b/3

300

3a/4 ÷ 2/3a

9a²/8

400

12abc/2b ÷ 3c/2a

9a²

500

3ab/5c ÷ 7ac²/6b

18b²/35c³

Mixed Questions

100

What is the area of a rectangle with length x and width y?

xy

200

If there are 'b' lollies in each cup and there are 15 cups, how many lollies are there is I have eaten 3 lollies?

15b-3

300

Write an expression for 3 years older than half of someone's age. (Let age be A)

A/2 + 3

400

What is half of half of half of 3a, then doubled twice

1.5a or 3a/2

500

A 15cm by 6cm pizza is cut into pieces which is 3a by 2b cm long. How large is each piece?

15/ab cm²