Algebra Unit 1 Review

Verbal - Algebraic

100

the difference of 20 and x

20 - x

200

the quotient of a number and 6

x/6 or x ÷ 6

300

5 times the sum of x and 12

5(x + 12)

400

6 less than the product of 3 and a number x

3x - 6

500

The verbal expression for 2(x + 4)

- two times the quantity of x plus four

- two times the sum of x plus four

Combining Like Terms

100

−6k + 7k

1k or k

200

n − 10 + 9n − 3

10n - 13

300

n + 4 − 9 − 5n

-4n - 5

400

−4 + 7(1 − 3m)

3 - 21m

500

−9(6m − 3) + 6(1 + 4m)

-30m + 33

Adding/Subtracting

100

(4 + 2n³) + (5n³ + 2)

7n³ + 6

200

(3a² + 1) − (4 + 2a²)

a² - 3

or 1a² - 3

300

(3x⁴ − 3x) − (3x − 3x⁴)

6x⁴ - 6x

400

(−4k⁴ + 14 + 3k² ) + (−3k⁴ − 14k² − 8)

−7k⁴ − 11k² + 6

500

(12a⁵ − 6a − 10a³ ) − (10a − 2a⁵ − 14a⁴)

14a⁵ + 14a⁴ − 10a³ − 16a

Multiplying

100

7n(6n + 3)

42n² + 21n

200

10a(a − 10b)

10a² − 100ab

300

7x(6x + 4y)

42x² + 28xy

400

3n(n² − 6n + 5)

3n³ − 18n² + 15n

500

9v² (u² + uv − 5v²)

9v²u² + 9v³u − 45v⁴

Bonus:Multiplying Binomials

100

(k − 2)(k − 3)

k² − 5k + 6

200

(3n + 2)(n + 3)

3n² + 11n + 6

300

(4n + 4)(5n − 8)

20n² − 12n − 32

400

(5x − 2)(5x − 8)

25x² − 50x + 16

500

(5x + 6)(8x − 4)

40x² + 28x − 24