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

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2. Is the square root function odd - even or neither?
F(x)=+c and f(x)-c
Same
Neither
Mirror image neg quadrant to that of the positive quandrant

3. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Even
Y=IxI
Horizontal

4. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Math 4 x - graph

5. What are the calculator instructions for the standard cubic function?
X math 3 graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X^2
Horizontal

6. What type of line is a constant function?
Three odd - cube root - identity - standard cubic
In a quotient
Y=10
Horizontal

7. 4(x-7)=4x-28 is what type of an equation?
Identity
The secant line
F(x) = x
Even

8. x=all real numbers is what type of an equation?
F(x) = x
A V
Even
Identity

9. What is the slope of a perpendicular line?
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Piecewise
Negative inverse

10. What is the range of the constant function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
The single number y=
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

11. What can never equal zero in the slope formula and why?
Parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range

12. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Odd
1 -2 -3
F(x)=suare root of x
45 degree angle

13. What are the four steps for solving a linear equation?
Cannot be drawn in quizlet
The second set of components of an ordered pair
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)

14. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph

15. What is a relation?
Any set of ordered pairs
2nd key - x^2 - graph
Odd
Postiive slope

16. Is an absolute value function even - odd or neither?
Even
Parraelle line
Perpendicular line
Undefined slope

17. What is the average rate of change formula?
The slope of a line containing two points
F(x2)-f(x1) / x2-x1
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

18. 4(x-7)=4x-28 is what type of an equation?
As many as you like
Down
Identity
Absolute Value - Constant and Standard Quadratic

19. $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?
Parabola - up one and right three
Set the x and y to zero and get the intercepts and then plot the points
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.
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

20. What is the domain of an identity function?
20+.05x=5+.10x x=minutes
Conditional
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

21. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
The second set of components of an ordered pair
F(x)=+c and f(x)-c

22. Which direction does f(x-c) move
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)
Horizontal right
Perpendicular line

23. What is a range?
F(x+c) and f(x-c)
The second set of components of an ordered pair
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1

24. What does the standard cubic function look like on a graph?
Up
X=a
F(x)=suare root of x
Mirror image neg quadrant to that of the positive quandrant

25. What is the range for the standard cubic function?
Y=IxI
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsitent

26. Is an identity function even - odd or neither?
Odd
The first set of components of an ordered pair
F(x)=IxI
The slope of a line containing two points

27. What does the standard cubic function look like on a graph?
Conditional
The secant line
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

28. What does linear equation mean?
Only one
(-infinity - +infinity)
F(x)=IxI
Equation of a line

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

30. A flat line underlining one vertical line is a symbol for...
Set the x and y to zero and get the intercepts and then plot the points
The opposite coordinates
Perpendicular line
Parraelle line

31. When is the only time (-infinity - +infinity) is not the domain?
Even
X=a
In a quotient
Conditional

32. What are the calculator instructions for a square root function?
2nd key - x^2 - 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
The slope of a line containing two points
(-infinity - +infinity)

33. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
F of g and g of f
Any set of ordered pairs
Horizontal

34. Is an absolute value function even - odd or neither?
Even
Down
F of g and g of f
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Up
45 degree angle
Approach neg toward x through zero and above positive close to x

36. What is the formula in both horizontal stretching and horizontal shrinking?
Horizontal right
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. Which direction does f(x+c) move
Horizontal left
45 degree angle
Perpendicular line
Undefined

38. What is a function?
The minimum or maximum points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsitent
[0 -+infinity)

39. 4x+5x=8x is what type of an equation?
Perpendicular line
Conditional
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

40. What is the slope of a perpendicular line?
Y=IxI
F(x)=+c and f(x)-c
Negative inverse
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

41. What points do you use to plot the inverse on a graph?
The opposite coordinates
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
Y=IxI
Horizontal

42. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
45 degree angle
X = the original sale price and the formula is x - .40x =$276
Three odd - cube root - identity - standard cubic
Because the demintor of a quotient can never equal zero

43. What is the formula for the standard cubic function?
Horizontal right
Y= then enter the number then press graph
F(x)=x^3
Yes - all the domains points to one range

44. What is the average rate of change formula?
Same
F(x2)-f(x1) / x2-x1
Line ascending to the right gradually
F(x)=x^3

45. Is a standard quadratic function even - odd or neither?
Even
Identity
Cannot be drawn in quizlet
Function notation

46. Is an identity function even - odd or neither?
M
Even
A line passing through two distinct points
Odd

47. What type of line is a constant function?
(-infinity - +infinity)
Identity
Horizontal
2nd catalog (zero key -) abs(x) - graph

48. What is the domain for a standard quadratic function?
Even
Up
(-infinity - +infinity)
F(x) = x

49. What can we substitute for f(x)?
Horizontal
Y
(-infinity - +infinity)
Horizontal

50. 4x+5x=8x is what type of an equation?
Zero slope
X=a
Conditional
(-infinity - +infinity)