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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. Is the standard cubic function odd - even or neither?
Undefined slope
Negative slope
1 -2 -3
Odd

2. What is the letter used to represent slope?
Perpendicular line
M
(-infinity - +infinity)
(-infinity - +infinity)

3. What is the horizontal line formula?
Y=b
A V
4 -6 -9
As equations

4. What is slope?
A line passing through two distinct points
Piecewise
Horizontal right
(-infinity - +infinity)

5. What are the steps for solving a word problem?
Even
No because you cannot have one domain pointing at two y's or ranges
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
The minimum or maximum points

6. What type of slope do you have when the line is horizontal and m=0?
C>1 - horizontal shrinking
Zero slope
Three odd - cube root - identity - standard cubic
Three odd - cube root - identity - standard cubic

7. What is the range for a standard quadratic function?
The second set of components of an ordered pair
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

8. What is another way to write f(x)=x - what type of function is this?
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=x - identity function
Up
F(x+h)-f(x)/h h cannot equal zero

9. Why can h not equal zero in the difference of a quotient function formula?
0<c<1 - horizontal stretching
F(x2)-f(x1) / x2-x1
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
Because the demintor of a quotient can never equal zero

10. What is a constant function?
4 -6 -9
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
Y=x^2 - graph
F(x^1)=f(x^2)

11. What type of line is a constant function?
Horizontal
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
(-infinity - +infinity)

12. What is the formula for the standard cubic function?
F(x)=x^3
[0 -+infinity)
Yes - all the domains points to one range
Y

13. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Identity
Even
(-infinity - 0]you[0 - +infinity)

14. What can we substitute for f(x)?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Y
Three odd - cube root - identity - standard cubic

15. What is the range of a square root function?
20+.05x=5+.10x x=minutes
4 -6 -9
(-infinity - +infinity)
[0 -+infinity)

16. What is the range of the constant function?
The single number y=
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
The minimum or maximum points

17. y=f(cx) What does this formula represent?
The secant line
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
M

18. What is the domain for a standard quadratic function?
(-infinity - +infinity)
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
0<c<1 - horizontal stretching
F(x)=+c and f(x)-c

19. How would this formula move f(x)=(x+1)^2-3
As many as you like
Parabola - up one and right three
Piecewise
Zero slope

20. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points
C>1 - horizontal shrinking
Cannot be drawn in quizlet

21. What does the average rate of change formula solve?
M
2nd key - x^2 - graph
The slope of a line containing two points
Undefined slope

22. What are the calculator instructions for absolute value?
Parabola
Horizontal
2nd catalog (zero key -) abs(x) - graph
As many as you like

23. What are the calculator instructions for the cube root function?
Horizontal
Math 4 x - graph
(-infinity - +infinity)
[0 -+infinity)

24. What type of slope do you have when m=? and the line is vertical?
C>1 - horizontal shrinking
Same
X=a
Undefined slope

25. Draw or discuss an increasing function
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x2)-f(x1) / x2-x1
Y=x^2 - graph
Cannot be drawn in quizlet

26. Draw or discuss a constant function
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
Horizontal right
Y= then enter the number then press graph

27. y=f(cx) - What does this formula represent?
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking
No because you cannot have one domain pointing at two y's or ranges

28. Of the seven of algebra's common graph's how many are neither?
Zero slope
F(x2)-f(x1) / x2-x1
Square Root
Neither

29. standard absolute value - horizontal shift formulas for left and right
Odd
As many as you like
F(x+c) and f(x-c)
Conditional

30. $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?
Odd
(-infinity - +infinity)
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

31. What shape is the standard quadratic function?
Parabola
Conditional
2nd key - x^2 - graph
Horizontal

32. Which direction does f(x)=+c move in standard absolute value formula?
Up
20+.05x=5+.10x x=minutes
Absolute Value - Constant and Standard Quadratic
F(x+h)-f(x)/h h cannot equal zero

33. Is a standard quadratic function even - odd or neither?
In a quotient
Piecewise
Even
F(x2)-f(x1) / x2-x1

34. Which direction does f(x+c) move
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1
Horizontal left
Parraelle line

35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
2nd key - x^2 - graph
Even
Yes - all the domains points to one range
A line passing through two distinct points

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

37. What are the calculator instructions for the standard cubic function?
X math 3 graph
Yes because two x's or domains can point to one y
In a quotient
Line ascending to the right gradually

38. What is the formula for an identity function?
F(x) = x
In a quotient
Conditional
Y

39. What is the domain and range of a constant function?
Piecewise
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.
(-infinity - +infinity)
Up

40. What is the formula for the cube root function?
The single number y=
Parabola
Parabola - up one and right three
F(x)=3 square root x

41. What direction does f(x)-c move in standard absolute value formula?
Down
Function notation
Y=IxI
(-infinity - +infinity)

42. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Line ascending to the right gradually
4 -6 -9
2nd catalog (zero key -) abs(x) - graph

43. What is the formula for an identity function?
Because the demintor of a quotient can never equal zero
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.
Parabola
F(x) = x

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

45. What is the average rate of change formula?
Conditional
[0 -+infinity)
The slope of a line containing two points
F(x2)-f(x1) / x2-x1

46. What is the point slope formula and when do you use it?
Odd
The minimum or maximum points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant

47. What is the domain for an absolute value function?
(-infinity - +infinity)
[0 -+infinity)
Y= then enter the number then press graph
Only one

48. How are functions normally written?
As equations
Inconsistant
[0 -+infinity)
Parabola - up one and right three

49. What are two examples of composit functions?
Y=b
F of g and g of f
Only one
Three odd - cube root - identity - standard cubic

50. Draw or discuss a decreasing function
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
A line passing through two distinct points
Even