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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What does the average rate of change formula solve?
The slope of a line containing two points
Up
Function notation
Odd

2. Draw or discuss a constant function
X^2
Conditional
Cannot be drawn in quizlet
Undefined slope

3. What is the range of the cube root function?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Odd
Zero slope

4. What is the domain of an identity function?
Zero slope
As equations
Undefined
(-infinity - +infinity)

5. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
F(x)=+c and f(x)-c
As equations
Perpendicular line

6. What is the formula for the cube root function?
In a quotient
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)

7. What is the domain and range of a constant function?
Perpendicular line
(-infinity - +infinity)
Parabola - up one and right three
Horizontal right

8. What are the algebra of functions?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
45 degree angle

9. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
F(x)=IxI
The single number y=
Because the demintor of a quotient can never equal zero

10. What type of line is an identity function?
Piecewise
X^2
Even
45 degree angle

11. What type of slope do vertical lines have?
F(x+h)-f(x)/h h cannot equal zero
Undefined
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. What type of slope do you have when a line rises from left to right and m>0?
Equation of a line
As equations
F(x)=x^3
Postiive slope

13. What does the square root function look like on a graph?
Even
Line ascending to the right gradually
Undefined
When does a graph not define y as a function of x?

14. How many ranges can you have for each domain?
Only one
Square Root
Horizontal left
(-infinity - +infinity)

15. Draw or discuss a decreasing function
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
As many as you like
In a quotient

16. What is the range of the constant function?
The single number y=
As equations
Three odd - cube root - identity - standard cubic
In a quotient

17. What are the calculator instructions for a standard quadratic equation?
Y=x - identity function
Negative slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x^2 - graph

18. What is the range of the cube root function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Odd

19. What does the square root function look like on a graph?
Y=b
M
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x

20. x=all real numbers is what type of an equation?
The first set of components of an ordered pair
Identity
X = the original sale price and the formula is x - .40x =$276
F(x)=+c and f(x)-c

21. What does the standard cubic function look like on a graph?
Undefined
Mirror image neg quadrant to that of the positive quandrant
F(x+h)-f(x)/h h cannot equal zero
X = the original sale price and the formula is x - .40x =$276

22. What is a range?
Negative inverse
(-infinity - +infinity)
The second set of components of an ordered pair
Horizontal

23. What direction does f(x)-c move in standard absolute value formula?
Down
As many as you like
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

24. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Absolute Value - Constant and Standard Quadratic
X=a
A V
X is the hours to repair the boat. $1603-532=anwser/63 = x

25. What is the vertex?
The minimum or maximum points
Y=IxI
Y=10
(-infinity - +infinity)

26. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
45 degree angle
Undefined slope
4 -6 -9
Undefined slope

27. How many ranges can you have for each domain?
The secant line
X=a
Cannot be drawn in quizlet
Only one

28. What are the calculator instructions for the cube root function?
Identity
Cannot be drawn in quizlet
Math 4 x - graph
Up

29. What can we substitute for f(x)?
The minimum or maximum points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional
Y

30. What is the slope of a perpendicular line?
(-infinity - +infinity)
Negative inverse
Parabola
Even

31. Is an identity function even - odd or neither?
Approach neg toward x through zero and above positive close to x
Odd
F(x^1)=f(x^2)
[0 -+infinity)

32. How many domains can you have pointing to one range?
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

33. y=f(cx) What does this formula represent?
Math 4 x - graph
Even
When does a graph not define y as a function of x?
0<c<1 - horizontal stretching

34. What type of line is a constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. 4x+5x=8x is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
X2-x1 because the demonaitor of a quotient can never equal zero
Conditional
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.

36. What is the letter used to represent slope?
M
Parabola - up one and right three
Set the x and y to zero and get the intercepts and then plot the points
Even

37. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
0<c<1 - horizontal stretching
F(x+h)-f(x)/h h cannot equal zero

38. How do you graph Ax+By+C=0?
Parraelle line
Y=b
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points

39. Is the standard cubic function odd - even or neither?
Odd
F(x+c) and f(x-c)
Y=x^2 - graph
The secant line

40. Which direction does f(x+c) move
Even
Postiive slope
Line ascending to the right gradually
Horizontal left

41. What is the point slope formula and when do you use it?
X math 3 graph
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Identity

42. What are the steps for solving a word problem?
Y=x - identity function
The second set of components of an ordered pair
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
Y=b

43. What is the domain of a square root function?
[0 -+infinity)
Line ascending to the right gradually
Inconsistant
No because you cannot have one domain pointing at two y's or ranges

44. What is another way of writing the absolute value function?
Odd
Conditional
Y=IxI
Even

45. Of the seven of algebra's common graph's how many are odd?
Any set of ordered pairs
The opposite coordinates
Three odd - cube root - identity - standard cubic
45 degree angle

46. Draw or discuss a constant function
Absolute Value - Constant and Standard Quadratic
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
Cannot be drawn in quizlet

47. Is an absolute value function even - odd or neither?
Negative inverse
Even
Equation of a line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

48. What is the formula for an identity function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x) = x
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
Only one

49. Draw or discuss a decreasing function
Undefined slope
F(x)=IxI
Cannot be drawn in quizlet
As many as you like

50. Is an absolute value function even - odd or neither?
Even
Function notation
Y=b
X = the original sale price and the formula is x - .40x =$276