College Algebra Grab Bag

Simplify the Radical Expression

100

√68

What is 2√17 ?

200

√144

What is 12 ?

300

3√121

What is 33 ?

400

√48n

What is 4√3n ?

500

√200

What is 10√2 ?

Parallel and Perpendicular Lines

100

What is the slope of a line parallel to y=3x+7

m=3

200

What is the slope of a line perpendicular to 

y=1/2x+2

m=-2

300

Write the equation of a line parallel to y=4x-9 with a y-intercept of (0,1)

y=4x+1

400

Write the equation of a line perpendicular to y=3x+7 that crosses the y-axis at (0,-4)

y=-1/3x-4

500

Write the equation of a line parallel to y=2x+7 that passes through the point (1,4)

y=2x+2

Functions

100

Find f(2) if 

f(x)=x^2+7

f(2)=11

200

Find g(1) if 

g(x)=4x^3+2x^2-6x

g(1)=0

300

Find f(1)+h(2) if 

f(x)=9x^2

and 

h(x)=3x-2

f(1)+h(2)=13

400

Find

g(6)-h(-1)

 if 

g(x)=2x+14

and 

h(x)=9x^2

g(6)-h(-1)=17

500

If g(x)=2x³ and h(x)=9x² find 

g(x)*h(x)

18x^5

Solving Inequalities

100

Solve 2x+6≥10

x ≥ 2

200

the solution to

f/2-5<10

 f < 30

300

The inequality -3x+5<23

w > -6

400

The inequality for 12 ≥ -2t - 10

-11 ≤ t or t ≥ -11

500

The inequality for

-12 > c/-2 + 10

44< c or c>44

Higher order Polynomials

100

Find the GCF: 4x³, 10x²

2x²

200

Find the GCF: 18x³, 32x²+6x

2x

300

Factor by GCF: 14n²+10n

2n(7n+5)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)