Simplifying Algebraic Expressions

Words to Expressions

100

5 times a number

5x

200

the sum of a number and 8

x+8

300

the difference between 9 and a number

9-x

400

the quotient of a number and 10

x/10

500

A number is added to 15, then the result is multiplied with another number

y(x+15)

Like Terms

100

2x+x

3x

200

3y-5y+7y

5y

300

12x+6-7x+11

5x+17

400

13xy+7x^2y-15yx-9y^2x

-2xy+7x^2y-9y^2x

500

100x^2y^2z-99xyz^2+15zy^2x^2-102x^2y^2z+22yz^2x

13x^2y^2z+122xyz^2

Multiplying Terms

100

-6mxx3n

-18mn

200

-2 xx 4x xx-3y

24xy

300

-20xy xx (-1/5 yx)

4x^2y^2

400

5 xx 3k xx 2ky

30k^2y

500

6ab xx -2ab xx -7a

84a^3b^2

Dividing Terms

100

(10x^2)/10

x^2

200

(-28ab)/(-7a)

4b

300

(21a^2)/(14ab)

(3a)/(2b)

400

(-5xy)/(24xyz)

(-5)/(24z)

500

(54a^2b^2c)/(-9abc^3)

(-6ab)/c^2

Mixed

100

xy xx (8yz)/(4xz)

4y^2

200

(14xy)/(2x) xx 4y

28y^2

300

(14a xx 5b)/(7a^2b)

10/a

400

((4a)^2 xx (5b)^2)/(40ab)

10ab

500

(3a^2 xx 4b)/(6a xx 2b^2)

a/b