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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 range of the cube root function?
45 degree angle
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Piecewise

2. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Parabola - up one and right three
Only one
When does a graph not define y as a function of x?

3. What type of slope do vertical lines have?
F(x)=3 square root x
Undefined
Horizontal left
20+.05x=5+.10x x=minutes

4. Why can h not equal zero in the difference of a quotient function formula?
Down
Change in y / change in x = rise / run = y2-y1 / x2-x1
Because the demintor of a quotient can never equal zero
[0 -+infinity)

5. What is a constant function?
F(x+c) and f(x-c)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x^1)=f(x^2)
(-infinity - +infinity)

6. What is a function?
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)
Down
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

7. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
In a quotient
Cannot be drawn in quizlet
Negative slope
Yes - all the domains points to one range

8. 4(x-7)=4x+28 is what type of an equation?
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent
Perpendicular line

9. What is the range for a standard quadratic function?
1 -2 -3
(-infinity - 0]you[0 - +infinity)
Negative inverse
Y=IxI

10. In an identity function if f(10)=x than What is y?
Equation of a line
(-infinity - +infinity)
F of g and g of f
Y=10

11. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
Even
X = the original sale price and the formula is x - .40x =$276
Inconsistant

12. What is another way of writing the absolute value function?
Conditional
Y=IxI
Set the x and y to zero and get the intercepts and then plot the points
Y

13. What is the formula for an identity function?
Parabola - up one and right three
F(x) = x
Undefined 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

14. What type of slope do you have when a line falls left to right and m<0?
Y=10
Negative slope
(-infinity - +infinity)
When does a graph not define y as a function of x?

15. Of the seven of algebra's common graph's how many are odd?
The opposite coordinates
Three odd - cube root - identity - standard cubic
F(x2)-f(x1) / x2-x1
Horizontal right

16. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Math 4 x - graph
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

17. What type of line is a constant function?
Horizontal
F(x2)-f(x1) / x2-x1
Math 4 x - graph
Y=x - identity function

18. What is the domain of an identity function?
4 -6 -9
Y=IxI
F(x)=IxI
(-infinity - +infinity)

19. How many ranges can you have for each domain?
2nd key - x^2 - graph
Only one
F(x+c) and f(x-c)
2nd key - x^2 - graph

20. What is another way to write f(x)=x - what type of function is this?
F(x2)-f(x1) / x2-x1
A line passing through two distinct points
Y=x - identity function
Y=10

21. 4x+5x=8x is what type of an equation?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional

22. What is the domain for an absolute value function?
F(x+c) and f(x-c)
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

23. What is the line called that illustrates the straight line between the two points when showing average rate of change?
In a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes - all the domains points to one range
The secant line

24. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
In a quotient
(-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

25. x= a real number is what type of equation?
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
1 -2 -3

26. Draw or discuss an increasing function
45 degree angle
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
(-infinity - +infinity)

27. Is an identity function even - odd or neither?
(-infinity - +infinity)
Odd
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

28. What is the slope intercept formula? Define all the variables.
The first set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X=a
45 degree angle

29. What are two examples of composit functions?
Equation of a line
Yes - all the domains points to one range
F of g and g of f
Odd

30. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Undefined
[0 -+infinity)
Function notation

31. How many domains can you have pointing to one range?
Absolute Value - Constant and Standard Quadratic
Horizontal
Even
As many as you like

32. What does the standard cubic function look like on a graph?
Equation of a line
45 degree angle
X^2
Mirror image neg quadrant to that of the positive quandrant

33. standard absolute value - vertical shift formulas for positve and negative
Yes - all the domains points to one range
F(x)=+c and f(x)-c
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined slope

34. Of the seven of algebra's common graph's how many are neither?
Square Root
Y
(-infinity - +infinity)
The opposite coordinates

35. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Undefined slope
(-infinity - +infinity)
The secant line
No because you cannot have one domain pointing at two y's or ranges

36. What is the slope of a perpendicular line?
Negative inverse
X=a
Y= then enter the number then press graph
M

37. What is the range of a square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
(-infinity - +infinity)
[0 -+infinity)

38. What does the absolute value function look like?
A V
Function notation
Mirror image neg quadrant to that of the positive quandrant
The secant line

39. What type of line is an identity function?
The opposite coordinates
Y
45 degree angle
[0 -+infinity)

40. What does the square root function look like on a graph?
A line passing through two distinct points
Negative inverse
1 -2 -3
Line ascending to the right gradually

41. What is the letter used to represent slope?
M
When does a graph not define y as a function of x?
45 degree angle
Negative inverse

42. What is the vertical line test?
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal
Y=x^2 - graph
When does a graph not define y as a function of x?

43. When is the only time (-infinity - +infinity) is not the domain?
Conditional
Undefined
In a quotient
Approach neg toward x through zero and above positive close to x

44. What can we substitute for f(x)?
Horizontal right
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
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.
Y

45. What type of slope do horizontal lines have?
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Same
Set the x and y to zero and get the intercepts and then plot the points

46. What is the domain of the cube root function?
Absolute Value - Constant and Standard Quadratic
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

47. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
F of g and g of f
Parabola
20+.05x=5+.10x x=minutes
Inconsitent

48. What is the domain for a standard quadratic function?
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph
Cannot be drawn in quizlet
(-infinity - +infinity)

49. What is the slope of a perpendicular line?
The single number y=
Line ascending to the right gradually
Horizontal right
Negative inverse

50. What is the range of the constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x^2 - graph
The single number y=
Function notation