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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 is the domain for an absolute value function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
M
(-infinity - 0]you[0 - +infinity)

2. What is the domain of a square root function?
[0 -+infinity)
Conditional
Negative inverse
45 degree angle

3. Is an absolute value function even - odd or neither?
Parabola
Conditional
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. $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?
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
Even
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
(-infinity - +infinity)

5. What is the point slope formula and when do you use it?
Y= then enter the number then press graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal
(-infinity - +infinity)

6. What is a domain?
Y=10
The first set of components of an ordered pair
F(x) = x
F(x^1)=f(x^2)

7. Is the standard cubic function odd - even or neither?
Odd
Identity
Piecewise
4 -6 -9

8. Is a constant function even - odd or neither?
Negative inverse
4 -6 -9
Even
Undefined slope

9. What are the four steps for solving a linear equation?
(-infinity - +infinity)
Negative slope
F(x)=suare root of x
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.

10. What are the algebra of functions?
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Postiive slope

11. What is an identity function?
20+.05x=5+.10x x=minutes
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.
Line ascending to the right gradually
45 degree angle

12. Of the seven of algebra's common graph's how many are even?
Horizontal left
X^2
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph

13. How many ranges can you have for each domain?
A V
As many as you like
Only one
(-infinity - +infinity)

14. Is a standard quadratic function even - odd or neither?
Even
Horizontal right
Mirror image neg quadrant to that of the positive quandrant
Parraelle line

15. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Down
Because the demintor of a quotient can never equal zero
X=a

16. f(x) = x^2+3x+5 - what type of formula is this?
In a quotient
Function notation
20+.05x=5+.10x x=minutes
(-infinity - 0]you[0 - +infinity)

17. y=f(cx) - What does this formula represent?
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking
Perpendicular line
Identity

18. 4x+5x=8x is what type of an equation?
X math 3 graph
Inconsistant
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

19. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
[0 -+infinity)
Function notation
The opposite coordinates

20. What type of slope do horizontal lines have?
F(x2)-f(x1) / x2-x1
Y= then enter the number then press graph
Same
Y=x - identity function

21. What is the formula for an absolute value function?
(-infinity - +infinity)
2nd key - x^2 - graph
F(x)=IxI
Conditional

22. What is the letter used to represent slope?
The first set of components of an ordered pair
X = the original sale price and the formula is x - .40x =$276
Undefined slope
M

23. What is the letter used to represent slope?
Y=x - identity function
The opposite coordinates
Set the x and y to zero and get the intercepts and then plot the points
M

24. What is the formula for the square root function?
The opposite coordinates
F(x)=suare root of x
X^2
(f+g) - (f-g) - (fg) - (f/g) all of x

25. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Odd
F(x+c) and f(x-c)
A line passing through two distinct points
20+.05x=5+.10x x=minutes

26. y^2+x=4 is this a function? Why?

27. What is the range for an absolute value function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]you[0 - +infinity)

28. Of the seven of algebra's common graph's how many are neither?
Zero slope
20+.05x=5+.10x x=minutes
Square Root
F(x)=3 square root x

29. What type of slope do you have when the line is horizontal and m=0?
X=a
Zero slope
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1

30. What does the average rate of change formula solve?
Piecewise
The slope of a line containing two points
Parabola - up one and right three
Absolute Value - Constant and Standard Quadratic

31. What is the formula for to calculate the difference of a quotient function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

32. What is the slope intercept formula? Define all the variables.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

33. What is the domain of an identity function?
F(x) = x
Function notation
Zero slope
(-infinity - +infinity)

34. What is a domain?
No because you cannot have one domain pointing at two y's or ranges
In a quotient
The first set of components of an ordered pair
Negative slope

35. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y
Even
Negative slope

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F of g and g of f
The slope of a line containing two points
Perpendicular line

37. A flat line underlining one vertical line is a symbol for...
X2-x1 because the demonaitor of a quotient can never equal zero
Perpendicular line
Parabola - up one and right three
The first set of components of an ordered pair

38. What is the range of the constant function?
No because you cannot have one domain pointing at two y's or ranges
Parraelle line
The single number y=
Perpendicular line

39. What is the range of the cube root function?
Zero slope
Parraelle line
(-infinity - +infinity)
Horizontal left

40. Two vertical lines side by side are a symbol for what
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
Parraelle line
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

41. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
The secant line
The second set of components of an ordered pair
(-infinity - +infinity)

42. How many domains can you have pointing to one range?
As many as you like
F(x)=x^3
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.
F(x+c) and f(x-c)

43. 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
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
Line ascending to the right gradually

44. What is the domain for a standard quadratic function?
45 degree angle
4 -6 -9
(-infinity - +infinity)
Y

45. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=x^3
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. What are the calculator instructions for absolute value?
Y= then enter the number then press graph
2nd catalog (zero key -) abs(x) - graph
Horizontal right
(-infinity - +infinity)

47. Is the square root function odd - even or neither?
Neither
Set the x and y to zero and get the intercepts and then plot the points
No because you cannot have one domain pointing at two y's or ranges
No because you cannot have one domain pointing at two y's or ranges

48. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
[0 -+infinity)
Even
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
No because you cannot have one domain pointing at two y's or ranges

49. What are the calculator instructions for the standard cubic function?
Cannot be drawn in quizlet
Odd
Cannot be drawn in quizlet
X math 3 graph

50. 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
Neither