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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 of an identity function?
[0 -+infinity)
F of g and g of f
4 -6 -9
(-infinity - +infinity)

2. What is the standard quadratic function?
(-infinity - +infinity)
X^2
M
Down

3. What are the algebra of functions?
1 -2 -3
(-infinity - +infinity)
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x

4. What is the standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276
X^2

5. What is the formula for the cube root function?
Y=x - identity function
F(x)=3 square root x
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

6. What is the formula for to calculate the difference of a quotient function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+h)-f(x)/h h cannot equal zero
Conditional
Mirror image neg quadrant to that of the positive quandrant

7. Is an absolute value function even - odd or neither?
F(x)=suare root of x
Even
2nd key - x^2 - graph
F(x)=+c and f(x)-c

8. What is the range of the cube root function?
Odd
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
As equations

9. Draw or discuss a decreasing function
As equations
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1
F(x)=3 square root x

10. x=all real numbers is what type of an equation?
Odd
The first set of components of an ordered pair
Identity
The second set of components of an ordered pair

11. What is the formula for slope?
Y= then enter the number then press graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points

12. 4x+5x=8x is what type of an equation?
Conditional
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
F(x)=3 square root x
The single number y=

13. f(x) = x^2+3x+5 - what type of formula is this?
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
Function notation
Zero slope
F of g and g of f

14. What type of slope do you have when a line rises from left to right and m>0?
X math 3 graph
Postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Even

15. What is the formula for to calculate the difference of a quotient function?
Odd
2nd catalog (zero key -) abs(x) - graph
Yes because two x's or domains can point to one y
F(x+h)-f(x)/h h cannot equal zero

16. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - 0]you[0 - +infinity)
X^2
(-infinity - +infinity)
In a quotient

17. What is the range of the constant function?
Square Root
Y=10
Horizontal
The single number y=

18. A flat line underlining one vertical line is a symbol for...
Zero slope
Only one
Perpendicular line
Cannot be drawn in quizlet

19. What is the range for the standard cubic function?
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
X=a

20. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Any set of ordered pairs
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

21. What is the formula for the standard cubic function?
F(x)=x^3
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. What is another way of writing the absolute value function?
Y=IxI
Parabola - up one and right three
F(x)=IxI
F(x+h)-f(x)/h h cannot equal zero

23. What is the domain of the cube root function?
(-infinity - +infinity)
As many as you like
Cannot be drawn in quizlet
X=a

24. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
As equations
F(x)=suare root of x
F(x+h)-f(x)/h h cannot equal zero

25. What can we substitute for f(x)?
Y= then enter the number then press graph
Y
Y=x - identity function
(-infinity - +infinity)

26. What is the letter used to represent slope?
Y=x^2 - graph
F(x)=IxI
M
Negative slope

27. What is a domain?
Cannot be drawn in quizlet
45 degree angle
The first set of components of an ordered pair
0<c<1 - horizontal stretching

28. What is the formula for the cube root function?
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x
Function notation
Negative inverse

29. What is the domain of a square root function?
Neither
[0 -+infinity)
The minimum or maximum points
The opposite coordinates

30. What is the range of a square root function?
No because you cannot have one domain pointing at two y's or ranges
Zero slope
A V
[0 -+infinity)

31. In an identity function if f(10)=x than What is y?
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.
Because the demintor of a quotient can never equal zero
45 degree angle
Y=10

32. What is the range of the cube root function?
Y=IxI
Postiive slope
(-infinity - +infinity)
4 -6 -9

33. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
X=a

34. What type of slope do you have when the line is horizontal and m=0?
Equation of a line
Zero slope
Horizontal
Cannot be drawn in quizlet

35. What type of slope do horizontal lines have?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Same
Y=IxI
20+.05x=5+.10x x=minutes

36. What is an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
45 degree angle
Postiive slope

37. Of the seven of algebra's common graph's how many are neither?
Square Root
Y= then enter the number then press graph
X=a
Postiive slope

38. Two vertical lines side by side are a symbol for what
The first set of components of an ordered pair
Y=IxI
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1

39. What does linear equation mean?
Equation of a line
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
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

40. What points do you use to plot the inverse on a graph?
Y=x^2 - graph
The opposite coordinates
Horizontal right
Parraelle line

41. Why can h not equal zero in the difference of a quotient function formula?
F(x2)-f(x1) / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = x
Because the demintor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)

42. 4(x-7)=4x+28 is what type of an equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
Inconsitent
Perpendicular line

43. What type of slope do you have when m=? and the line is vertical?
Undefined slope
No because you cannot have one domain pointing at two y's or ranges
The opposite coordinates
(-infinity - +infinity)

44. Draw or discuss an increasing function
A V
Cannot be drawn in quizlet
Equation of a line
(-infinity - +infinity)

45. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Horizontal right
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

46. Which direction does f(x-c) move
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
Horizontal right
No because you cannot have one domain pointing at two y's or ranges
Y=10

47. x= a real number is what type of equation?
Conditional
(-infinity - +infinity)
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.
Down

48. 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?
Only one
X is the hours to repair the boat. $1603-532=anwser/63 = x
M
Math 4 x - graph

49. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Down
Same
Postiive slope

50. What is the formula for an absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
2nd catalog (zero key -) abs(x) - graph
F(x)=IxI
Math 4 x - graph