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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 slope intercept formula? Define all the variables.
Y=10
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=x^2 - graph

2. What can we substitute for f(x)?
F(x+c) and f(x-c)
A line passing through two distinct points
Y
(-infinity - +infinity)

3. Which direction does f(x)=+c move in standard absolute value formula?
X^2
Function notation
Up
Any set of ordered pairs

4. Draw or discuss an increasing function
Inconsitent
Cannot be drawn in quizlet
Conditional
Horizontal left

5. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A V

6. What type of line is an identity function?
45 degree angle
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic
X^2

7. What does the standard cubic function look like on a graph?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
Even

8. What is a domain?
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
Yes - all the domains points to one range
Y=x - identity function

9. How many ranges can you have for each domain?
[0 -+infinity)
Negative inverse
Only one
(-infinity - +infinity)

10. Is the square root function odd - even or neither?
Neither
Odd
Y=b
Postiive slope

11. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Identity
Y
(-infinity - +infinity)

12. What are the algebra of functions?
M
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=3 square root x
Only one

13. How many domains can you have pointing to one range?
(-infinity - +infinity)
Inconsitent
2nd catalog (zero key -) abs(x) - graph
As many as you like

14. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Y=x - identity function
Negative inverse
Piecewise

15. What is the formula for an identity function?
The minimum or maximum points
Y
F(x) = x
Three odd - cube root - identity - standard cubic

16. What is the range for a standard quadratic function?
F(x^1)=f(x^2)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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 - 0]you[0 - +infinity)

17. What is the formula for slope?
Line ascending to the right gradually
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 left
Change in y / change in x = rise / run = y2-y1 / x2-x1

18. What is the slope of a perpendicular line?
C>1 - horizontal shrinking
Odd
Negative inverse
As many as you like

19. How many domains can you have pointing to one range?
Neither
2nd key - x^2 - graph
As many as you like
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.

20. What type of line is a constant function?
Parraelle line
(-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
Horizontal

21. What type of slope do horizontal lines have?
Same
2nd key - x^2 - graph
Odd
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.

22. Of the seven of algebra's common graph's how many are even?
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
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

23. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Zero slope
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.
Parraelle line

24. What is the standard quadratic function?
The single number y=
Set the x and y to zero and get the intercepts and then plot the points
X^2
X=a

25. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
X math 3 graph
C>1 - horizontal shrinking
Y=10

26. What type of slope do vertical lines have?
Undefined
Y
No because you cannot have one domain pointing at two y's or ranges
Function notation

27. In an identity function if f(10)=x than What is y?
Y=10
F(x)=IxI
F(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph

28. Which direction does f(x-c) move
Function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Horizontal right

29. What direction does f(x)-c move in standard absolute value formula?
Horizontal right
Down
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

30. When is the only time (-infinity - +infinity) is not the domain?
Square Root
F of g and g of f
In a quotient
Zero slope

31. 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
(-infinity - 0]you[0 - +infinity)
Horizontal right
(-infinity - +infinity)

32. What does the square root function look like on a graph?
X=a
Line ascending to the right gradually
Cannot be drawn in quizlet
F(x)=IxI

33. What type of slope do you have when a line rises from left to right and m>0?
A V
(-infinity - 0]you[0 - +infinity)
Postiive slope
Up

34. What does linear equation mean?
Equation of a line
The secant line
Conditional
0<c<1 - horizontal stretching

35. What are the calculator instructions for the standard cubic function?
X math 3 graph
F(x)=+c and f(x)-c
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero

36. When is the only time (-infinity - +infinity) is not the domain?
Even
In a quotient
Conditional
The first set of components of an ordered pair

37. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Line ascending to the right gradually
45 degree angle
Undefined slope

38. What is the vertical line formula?
The opposite coordinates
1 -2 -3
X=a
X^2

39. What type of function would you use to calculate the most advantageous cell phone plan?
Identity
Piecewise
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 slope of a line containing two points

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

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41. What does linear equation mean?
Down
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually
Equation of a line

42. What is the domain of an identity function?
Odd
(-infinity - +infinity)
Up
M

43. standard absolute value - horizontal shift formulas for left and right
Y=x^2 - graph
F(x+c) and f(x-c)
In a quotient
The single number y=

44. What is the range of a square root function?
Postiive slope
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
[0 -+infinity)

45. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
Parabola
Y=x^2 - graph
Inconsitent

46. What is the domain for an absolute value function?
4 -6 -9
(-infinity - +infinity)
Parabola
(-infinity - 0]you[0 - +infinity)

47. Of the seven of algebra's common graph's how many are odd?
When does a graph not define y as a function of 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.
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic

48. $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?
Inconsitent
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b

49. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
[0 -+infinity)

50. What is the formula for the cube root function?
2nd key - x^2 - graph
X=a
F(x)=3 square root x
(-infinity - +infinity)