Intro to Algebra 10/14

Combining like terms

100

Simplify by combining like terms: 7x + 2x + 9

9x + 9

200

Simplify by combining like terms: 5x + 2y - y -7

5x + y - 7

300

Simplify by combining like terms:

 7 + 7x² - 4 - 2x² + 8x

5x² + 8x + 3

400

Simplify by combining like terms: 

12x² - 9x + 11x - 10x²

2x² + 2x

500

Simplify by combining like terms: 

5(2x + 3) - 3 + 4x + 2x² - 2x

2x² + 12x + 12

Combining like terms 2

100

Simplify by combining like terms: 

8y+9-y

7y+9

200

Simplify by combining like terms:

5x-8y+3-2x 

3x-8y+3

300

Simplify by combining like terms: 

8y²+y-y²+8x²+4y-6x²

2x² + 7y²+ 5y

400

Simplify by combining like terms: 

3(2 + 2x + 5x²) - x + 5x² - 6

 20x² +5x 

500

Simplify by combining like terms: 

4x(2x + 2y) - 8x + 3xy - 2x² + 6y 

6x² + 11xy - 8x + 6y

Writing Expressions

100

Write an expression that means the following: "Five more than a number"

x + 5

200

Write an expression that means the following: "3 times a number"

3x

300

Write an expression that means the following: "4 less than a number"

x - 4

(the order matters here!)

400

Write an expression that means the following: "Twice the sum of a number and 6"

2(a+6)

*There are multiple ways this could be written

500

Write an expression that means the following: "take 7 away from a number, then divide 9 by the result"

(x-7) / 9

Distributive Property

100

Simplify using the distributive property: 6(x+4)

6x+24

200

Simplify using the distributive property: 3(7y-10)

21y-30

300

Simplify using the distributive property: 2x(3x+5)

6x²+10x

400

Simplify using the distributive property: 8x(4x+10y)

32x² + 80xy

500

Simplify using the distributive property: 2x²(6x - 5) + 3

12x³ - 10x² + 3

Order Of Operations

100

Simplify

4 x 2 x 5 x 2 + (2 x 10)

100

200

Simplify

(7 + 20) / 3 + (2 x 6)

21

300

Simplify

5 + (9 + 8 x 2 ) x 4 

105

400

Simplify

5 x (6 + 6) - 3² + 14 

65

500

Simplify

(5 x 7) x 2 - 56 + 2³

22