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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 an identity function?
Even
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph

2. How would this formula move f(x)=(x+1)^2-3
Negative slope
M
Parabola - up one and right three
Odd

3. What is the formula for an absolute value function?
20+.05x=5+.10x x=minutes
Line ascending to the right gradually
Inconsistant
F(x)=IxI

4. What is the range for a standard quadratic function?
X^2
Same
45 degree angle
(-infinity - 0]you[0 - +infinity)

5. Why can h not equal zero in the difference of a quotient function formula?
[0 -+infinity)
Undefined
Because the demintor of a quotient can never equal zero
F(x+c) and f(x-c)

6. What is the formula in both horizontal stretching and horizontal shrinking?
Neither
Y=b
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant

7. $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?
F(x)=+c and f(x)-c
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
4 -6 -9
Only one

8. What is another way of writing the absolute value function?
4 -6 -9
Y=IxI
Y= then enter the number then press graph
Undefined

9. What is the average rate of change formula?
Down
Undefined slope
F(x2)-f(x1) / x2-x1
A V

10. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
F(x+c) and f(x-c)
Identity
Negative inverse

11. What is the vertical line test?
When does a graph not define y as a function of x?
As equations
Y=IxI
X^2

12. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points
X=a
Y

13. How do you calculate a constant function in your calculator?
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
The single number y=

14. Two vertical lines side by side are a symbol for what
Inconsitent
Parraelle line
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola - up one and right three

15. Is an absolute value function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
1 -2 -3
Even

16. What type of function would you use to calculate the most advantageous cell phone plan?
Horizontal
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=IxI

17. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet

18. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Yes - all the domains points to one range
Y=IxI

19. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Piecewise
F(x)=suare root of x

20. 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?
X^2
Neither
F(x)=suare root of x
X is the hours to repair the boat. $1603-532=anwser/63 = x

21. What type of slope do you have when m=? and the line is vertical?
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
Cannot be drawn in quizlet
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.
Undefined slope

22. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Line ascending to the right gradually
The secant line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - graph

23. Is the standard cubic function odd - even or neither?
Horizontal
Odd
F(x+c) and f(x-c)
In a quotient

24. Which direction does f(x-c) move
2nd key - x^2 - graph
Yes because two x's or domains can point to one y
Horizontal right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

25. What are the calculator instructions for absolute value?
Line ascending to the right gradually
Inconsistant
2nd catalog (zero key -) abs(x) - graph
As equations

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Neither
The secant line
Conditional

27. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Square Root
F of g and g of f
Mirror image neg quadrant to that of the positive quandrant

28. What can never equal zero in the slope formula and why?
F(x)=suare root of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X2-x1 because the demonaitor of a quotient can never equal zero
Only one

29. x=no real numbers is what type of an equation?
Postiive slope
Undefined slope
Inconsistant
Even

30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
Odd

31. What is a range?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair
As many as you like

32. What is slope?
A line passing through two distinct points
Yes - all the domains points to one range
X2-x1 because the demonaitor of a quotient can never equal zero
Parabola - up one and right three

33. What is the formula for the square root function?
As many as you like
Cannot be drawn in quizlet
1 -2 -3
F(x)=suare root of x

34. Is a standard quadratic function even - odd or neither?
Negative inverse
(-infinity - +infinity)
Even
F(x)=3 square root x

35. What is the formula for the standard cubic function?
F(x)=x^3
Zero slope
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

36. Which direction does f(x+c) move
[0 -+infinity)
X = the original sale price and the formula is x - .40x =$276
Horizontal left
1 -2 -3

37. 4(x-7)=4x-28 is what type of an equation?
Function notation
(-infinity - +infinity)
F(x+c) and f(x-c)
Identity

38. What is the range of the cube root function?
The minimum or maximum points
Negative inverse
[0 -+infinity)
(-infinity - +infinity)

39. What is another way of writing the absolute value function?
Y=IxI
Y=b
Same
Neither

40. What is a domain?
The first set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
The opposite coordinates
Inconsitent

41. What are the calculator instructions for the cube root function?
Line ascending to the right gradually
Undefined
Cannot be drawn in quizlet
Math 4 x - graph

42. What is the slope of a perpendicular line?
Only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse
Odd

43. What are two examples of composit functions?
Only one
Zero slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F of g and g of f

44. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Parabola - up one and right three
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

45. What is the domain for an absolute value function?
Undefined
(-infinity - +infinity)
Perpendicular line
Postiive slope

46. What is the domain of an identity function?
Cannot be drawn in quizlet
The first set of components of an ordered pair
(-infinity - +infinity)
Y=x^2 - graph

47. What is the formula for an absolute value function?
20+.05x=5+.10x x=minutes
As many as you like
Cannot be drawn in quizlet
F(x)=IxI

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
F(x)=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

49. Draw or discuss an increasing function
Piecewise
Negative slope
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x

50. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Square Root
Y=IxI
F(x)=+c and f(x)-c