Saxon Algebra 1 Lessons 42-45

Lesson 42

100

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

x = 2

200

Find the GCF:

6k⁵m² - 2mk³ - mk

mk (6k⁴m - 2k² - 1)

300

Simplify.

3x - 9x²/3x

1 - 3x

400

Simplify with all exponents in the numerator:

x⁵y⁵mm^-2/xx³y^-3m⁴

xy⁸m^-5

500

Use the distributive property to evaluate the following:

x^-2/y (xz/y - 1/y^-4)

z/xy² - y³/x²

Lesson 43

100

Solve for y:

3x + 2y = 5 - y

y = 5/3 - x

200

Find the GCF:

6x⁴y² - 4zx²y²

2x²y² (3x² - 2z)

300

Simplify:

4x - 8xy/4x

1 - 2y

400

Simplify:

x⁵yx^-7y²/x⁴yy³x³

1/x⁹y

500

Use the distributive property to evaluate:

x²z^-2 (x⁴z^-4/x - 3z²/x²)

x⁵z⁶ - 3

Lesson 44

100

Sove for y:

x + 3y - 4 = 0

y = -1/3x + 4/3

200

Find LCM of the following:

16, 12, and 50

1200

300

Simplify with the exponents in the numerator:

aaxy^-3 + 2a²x²/y³ - 4axxx/y³

3a²x²y^-3 - 4ax³y^-3

400

Simplify:

mm^-4pp⁵/m^-3pp⁶

p^-1

500

Evaluate, if m = -5 and x = 3

m - (m - x)

3

Lesson 45

100

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

x = -5/2

200

Solve for y:

2x - 5y + 4 = 0

y = 2/5x + 4/5

300

Find the LCM for the following numbers:

18, 27, and 45

270

400

Find the LCM of the algebraic expression:

12x²am² and 14x³am⁴

84x³am⁴

500

Simplify with the answer being all positive exponents:

x^-4/y²p^-4

p⁴/y²x⁴