Linear Expressions

Adding

100

6 + 11x + 3 + 5x

9 + 16x

200

(7+3x) + (4 + 8x) 

11 + 11x

300

(16x + 6) - (8x + 3)

8x - 3

400

(9x + 5) +(-5x + 18)

4x + 23

500

(19x + 23) - (-9x + 8)

28x + 15

Subtracting

100

5x - 7 + 3x - 3

8x - 10

200

(18x - 13) - (-5x + 5)

23x - 18

300

(19x - 6) - (-12x - 3)

31x - 3

400

(63x - 19) + (-48x - 25)

15x - 44

500

(109x - 13) - (-72x - 53)

181x + 40

Exponents

100

5x² + 6 + 3x² + 12

8x⁴ + 18

200

5x³ - 3 - 6x² + 11

-1x^-1 + 8

300

8x³ - 7 + 3x² + 9

11x⁵ + 2

400

13x² - 12 - 6x - 8

7x - 20

500

23x⁴ + 16 - 4x² + 41

19x² + 57

Factoring

100

32x + 28

4(8x + 7)

200

44x - 4

4(11x - 1)

300

-25x - 150

-25(x + 6)

400

4x³ + 12x² - 5x - 15

(4x² - 5)(1x + 3)

500

3x³ - 2x² - 15x + 10

(x² - 5)(3x - 2)

Polynomials

100

Simplify x² + 3x + 2

(x+1)(x+2)

200

Simplify x² + x - 6

(x-2)(x+3)

300

Simplify a² - 15a + 36

(a-12)(a-3)

400

Factor 3x⁴ - 21x³ + 10x²

x²(3x² - 21x + 10)

500

Factor 4x⁵ + 12x² - 28

4(x⁵+ 3x² - 7)