Pre-Cal

Rational Expressions

100

Define a rational expression 

What is the quotient of two polynomials 

200

Steps to add or subtract a rational expression with different denominators 

What is

Find the LCD

Rewrite each rational expression as an equivalent expression whose denominator is the LCD

 Add or subtract

Simplify if need be

300

Subtract 

x over x+1 subtracted by 3x+2 over x+1

What is -2

400

Subtract 

x over x²-10x+25 subtracted by x-4 over 2x-10

What is x-3 over 5x-15

500

Divide

x²-2x+1 over x³+x divided by x²+x-2 over 3x²+3

What is 3(x-1) over x(x+2)

Exponential Functions

100

Define an exponential function

What is functions whose equations contain a variable in the exponent

200

What is the base of

f(x)=3^x+1

What is 3

300

What would the asymptote of f(x)=4^x  be?

What is a horizontal asymptote?

400

Is the graph (1/3)^x always increasing or decreasing?

What is always decreasing?

500

Is the following growth or decay: g(x)=-350(1.25)^x

What is growth

Equations

100

The linear equation written form.

What is ax+b=0?

200

Solve

4(2x+1)=29+3(2x-5)

What is x=5?

300

A rational equation includes

What is at least one variable in the denominator?

400

Solve

6 over x+3 minus 5 over x-2 equals -20 over x²+x-6

What is x=7?

500

Solve

4|1-2x|-20=0

What is x=-2 or x=3?

Angles and Radian Measure

100

Name the two sides of a ray at an angle

What are the initial side and terminal side?

200

To convert degrees to radians

What is 

multiply degrees by pi radians over 180 degrees?

300

Convert into radian to degree

6radians=

What is 343 degrees or 1080 over pi?

400

A circle has a radius of 6 inches. Find the length of the arc intercepted by a central angle of 45 degrees. Express arc length in terms of pi. Then round your answer to two decimal places.

What is 4.71 inches?

500

A carousel with 3 rows of animals has an angular speed of 6 revolutions per minute. The second row of animals is at a distance of 5 feet from the center. Find the linear speed of the second row of animals. Express your answer in terms of pi, and then round your answer to the nearest integer.

A. 60pi feet/min=188 feet/min

B. 50pi feet/min=157 feet/min

C. 72pi feet/min=226 feet/min

What is A?

Random

100

The number of positive real zeros of f is either 

What is the same as the number or signs changes or less than the number of sign changes?

200

List all possible rational zeros of f(x)=4x⁵+12x⁴-x-3

What is -1,1,-3,3,-1/2,1/2,-1/4,1/4,-3/2,3/2,-3/4,3/4

300

Another name for zeros

What is solutions, factors, or x-intercept?

400

Solve x⁴-6x³+22x²-30x+13=0

What is 2-3i or 2+3i?

500

Find the zeros of this function

y=2x³+14x²+12x

What is -6,-1,0?