Unit 3 Algebra

Writing Expressions

100

Six less than a number, x 

x - 6 

200

Subtract x from 9 

9 - x 

300

The product of 7 and x, plus 3 

7x + 3 

400

9 less than the product of 8 and a number, x 

8x - 9 

500

the product of 5 and x, subtracted from 12 

12 - 5x 

Solving Equations

100

3x = 6 

x = 2

200

x - 2 = 10 

x = 12 

300

x + 18 = 19 

x = 1 

400

x/6 = 7 

x = 42 

500

2x + 2x = 16 

x = 4 

Combining Like terms

100

3x + 2x + 1x 

6x 

200

7x - 3x + 2 

4x + 2 

300

y + y + y + y + x + x 

4y + 2x 

400

12 + 3x - 2x + 10 

x + 22 

500

6x + 15 - x - 5 

5x + 10 

Exponents

100

3³

3 x 3 x 3 =27 

200

5²

5 x 5 = 25 

300

4 x 4 x 4 

4^{3 =}  64

400

 2⁴

2 x 2 x 2 x 2 = 16 

500

6 x 6 x 6 

6³ = 216 

Sum Model

100

2(x + 5)

2x + 10

200

3(x - 6)

3x - 18 

300

11(x + 4) + 2x 

13x + 44 

400

5(x + 8) + 50 

5x + 90

500

3x + 4(x + 9)  

7x + 36