Test your basic knowledge |

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. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Undefined slope

2. What are the calculator instructions for the cube root function?
Yes - all the domains points to one range
20+.05x=5+.10x x=minutes
Math 4 x - graph
Parabola

3. standard absolute value - horizontal shift formulas for left and right
Line ascending to the right gradually
F(x+c) and f(x-c)
X math 3 graph
Same

4. What is the formula for slope?
F(x+c) and f(x-c)
Undefined
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1

5. How are functions normally written?
Square Root
In a quotient
As equations
Piecewise

6. What equation does every line have? Discuss the variables.
F(x+c) and f(x-c)
Even
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.
The single number y=

7. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(-infinity - +infinity)
Y
Postiive slope
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000

8. What is the formula in both horizontal stretching and horizontal shrinking?
Parraelle line
Math 4 x - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

9. What are the calculator instructions for the standard cubic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X math 3 graph
Odd
F(x) = x

10. What is the standard quadratic function?
Zero slope
X^2
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero

11. What is the formula for the square root function?
(-infinity - +infinity)
C>1 - horizontal shrinking
F(x)=suare root of x
Even

12. What type of slope do you have when a line falls left to right and m<0?
Piecewise
Inconsistant
Negative slope
Postiive slope

13. What direction does f(x)-c move in standard absolute value formula?
Function notation
Down
The minimum or maximum points
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.

14. What is the domain of a square root function?
F(x)=IxI
Equation of a line
[0 -+infinity)
Even

15. What is the slope of a perpendicular line?
Horizontal
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
Negative inverse

16. In an identity function if f(10)=x than What is y?
X math 3 graph
(-infinity - +infinity)
Y=10
X = the original sale price and the formula is x - .40x =$276

17. Of the seven of algebra's common graph's how many are neither?
Postiive slope
F(x+c) and f(x-c)
Horizontal left
Square Root

18. What is the formula for the cube root function?
45 degree angle
Odd
F(x)=suare root of x
F(x)=3 square root x

19. What does linear equation mean?
F(x)=3 square root x
20+.05x=5+.10x x=minutes
Equation of a line
Three odd - cube root - identity - standard cubic

20. What is the range for the standard cubic function?
F of g and g of f
(-infinity - +infinity)
Square Root
Perpendicular line

21. 4x+5x=8x is what type of an equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
The second set of components of an ordered pair
Parabola - up one and right three

22. What is the domain for the standard cubic function?
Function notation
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Change in y / change in x = rise / run = y2-y1 / x2-x1

23. How many domains can you have pointing to one range?
Parraelle line
As many as you like
Identity
The second set of components of an ordered pair

24. What is the domain of a square root function?
In a quotient
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

25. Is the square root function odd - even or neither?
Even
[0 -+infinity)
X=a
Neither

26. Of the seven of algebra's common graph's how many are neither?
Piecewise
The single number y=
Square Root
(-infinity - +infinity)

27. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal
Function notation

28. When is the only time (-infinity - +infinity) is not the domain?
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=3 square root x
In a quotient

29. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
F(x)=x^3
Y=x - identity function
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

30. What type of slope do you have when a line falls left to right and m<0?
Even
X math 3 graph
Identity
Negative slope

31. x=no real numbers is what type of an equation?
Any set of ordered pairs
Inconsistant
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
(-infinity - +infinity)

32. What is the formula for the standard cubic function?
F(x2)-f(x1) / x2-x1
F(x)=x^3
Odd
X math 3 graph

33. What type of function would you use to calculate the most advantageous cell phone plan?
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise

34. Which direction does f(x+c) move
Horizontal right
Cannot be drawn in quizlet
(-infinity - +infinity)
Horizontal left

35. What type of slope do you have when m=? and the line is vertical?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined slope
The slope of a line containing two points
1 -2 -3

36. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
The single number y=
A V
Identity

37. What are the four steps for finding the inverse of a function?
Horizontal left
Even
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. What is the standard quadratic function?
X^2
Horizontal
(-infinity - +infinity)
Even

39. What type of slope do you have when a line rises from left to right and m>0?
When does a graph not define y as a function of x?
X2-x1 because the demonaitor of a quotient can never equal zero
Postiive slope
Conditional

40. How do you calculate a constant function in your calculator?
The second set of components of an ordered pair
Odd
(-infinity - +infinity)
Y= then enter the number then press graph

41. What is the horizontal line formula?
Y=b
Cannot be drawn in quizlet
Horizontal right
X = the original sale price and the formula is x - .40x =$276

42. What is slope?
A line passing through two distinct points
The secant line
Y= then enter the number then press graph
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000

43. How many domains can you have pointing to one range?
Absolute Value - Constant and Standard Quadratic
Inconsitent
Parabola
As many as you like

44. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. What are the four steps for solving a linear equation?
Function notation
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.
Line ascending to the right gradually
When does a graph not define y as a function of x?

46. A flat line underlining one vertical line is a symbol for...
Y=IxI
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parabola

47. What is the domain and range of a constant function?
Horizontal
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Horizontal left

48. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero
A V

49. What can we substitute for f(x)?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Y
X is the hours to repair the boat. $1603-532=anwser/63 = x

50. Is an identity function even - odd or neither?
2nd key - x^2 - graph
Odd
Zero slope
Conditional