Algebra A -- Lessons 6.2-6.4 Review

Adding Monomials

100

(x + 3) + (3x + 2)

4x + 5

200

(2x + 6) + (3x - 4)

5x + 2

300

(-7m + 9) + (-m - 7)

-8m + 2

400

(-3m² - m + 3) + (2m - 9)

-3m² + m - 6

500

(6k⁴ - 4k + 1) + (-7k⁴ + 8k² - 8k)

-k⁴ + 8k² - 12k +1

Subtracting Monomials

100

(5x + 4) - (3x + 2)

2x + 2

200

(3x + 2) - (6x - 3)

-3x + 5

300

(-x - 4) - (x + 3)

-2x - 7

400

(-2x² - 3x + 2) - (5x² - x - 1)

-7x² - 2x + 3

500

(3p⁴ - 5p³ + p - 3) - (-9p⁴ - 5 + 5p³)

12p⁴ -10p³ + p + 2

GCF

100

Find the GCF of 12 and 20 

4

200

Find the GCF of 54 and 81

9

300

Find the GCF of 16x and 36x

4x

400

Find the GCF of 24xy and 60y

12y

500

Find the GCF of 81xyz and 100xy

xy

Factoring Expressions

100

2m + 6

2(m + 3)

200

5x - 25

5(x - 5)

300

-18k - 27

-9(2k + 3)

400

30m² - 10m

5m(6m - 2)

500

-28mn + 49n

-7n(4m - 7)

Random

100

simplify the expression: 9 + 3x - y - 6x

-3x - y + 9

200

simplify: 8(2x - 3)

16x - 24

300

A student simplified 5x - 3(x + 4) to 2x + 12. What is the error?

The students multiplied 4 by 3 instead of -3.

400

Evaluate: 9² + 3 x [(9 - 5)² / 4]

93

500

Find the sum of all the numbers from -10 to 12

23