Not Quiz5

Factoring

100

Find the GCF of:

21x²y⁵ − 28x³y⁴ − 42xy⁶

7xy⁴

200

Factor this difference of square:

81 − 4x²

(9 − 2x)(9 + 2x)

300

Factor by grouping:

6x³ + 15x² − 4x − 10

(3x² − 2)(2x + 5)

400

Factor using the AC method:

2x² + 5x − 12

(2x − 3)(x + 4)

500

Factor COMPLETELY:

3x⁸y - 10x⁴y - 8y

y(x⁴ − 4)(3x⁴ + 2)

Functions

100

Given function f(x)=3x-8+a

Find f(3)

1+a

200

Given f(x)=x²+x-2 and g(x)= 2x-1, evaluate:

f(2)-g(2)

1

300

Given function f(x) = -2x-7-2a

Find the value of x for which f(x) = 1-2a

x=-4

400

Given f(x)=2x³-1 and g(x)= -2x, evaluate:

(f-g)(3)

59

500

Given f(x)=-x²-3x+4 and g(x) = -3x+4, evaluate:

(f ∘ g)(2)

6

First Exam

100

Find the slope of the following line:

4x + 3y = 12

-4/3

200

Solve the equation for x:

xy+9z²=5y+2

x = (5y+2-9z²)/y

300

Solve the inequality, write solution in interval notation.

-2x+9 > 15+x

(-∞,-2)

400

Find the x and y intercepts of this line:

y = -3 x + 3

x-int: (1,0), y-int: (0,3)

500

Solve the system:

y = 2x - 2

4x - y = 8

x=3, y=4