Saxon Algebra I Lessons 25-29

Algebraic Phrases

100

Three times the sum of a number and -4

3 (x - 4)  or  3 (x + -4)

200

Sixteen less than twice the opposite of a number.

- 2x - 16

300

The sum of 3 times a number and -42

3x - 42  or  3x + -4

400

A number is multiplied by 5 and this product decreased by 10

5x - 10

500

Six times the sum of the opposite of a number and 3

6 ( - x - 3)  or  6 ( - x + -3)

Fractional Parts of Numbers

100

4/3 of what number is 62?

x = 93/2

200

What fraction of 60 is 28?

x = 7/15

300

4  1/2  of 824 is what number?

x = 3708

400

3  1/5 of what number is 40?

x = 25/2

500

What fraction of 324 is 270?

x = 5/6

Negative Exponents

100

Simplify:

1/3^-3

3³  =  27

200

Simplify:

(-3)^-2

1/(-3)² = 1/9

300

Simplify:

x⁴m²x^-2m^-5

x^-2m^-3

400

Simplify:

x^-2y^-6y⁵x⁴zyz⁵

x³y^-1z⁶

500

Simplify:

1/2^-3

(2)³  =  8

Zero Exponents

100

Simplify:

m⁵b²mb^-2

m⁶

200

Expand:

x⁵y⁰z (p^-3z⁰  -  4x^-5z^-1)

x⁵zp^-3 - 4

300

Expand:

x^-2y^-2 (x²y²  +  4x⁴y²)

1  +  4x²

400

Simplify: 

8⁰

1

500

Simplify:

- 8⁰

-1

Equations

100

1/2x + 2 = -3/4

x = -11/2

200

3x - 7 = 42

x = 49/3

300

5m - m - 2m + 5 = -3 - 2

m = -7/5

400

0.3k + 0.85k - 2 = 2.6

k = 4

500

2k - 5 + k - 3 = 2 + 2k + 5

k = 15