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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 are the calculator instructions for a standard quadratic equation?
F(x)=IxI
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left

2. What is the average rate of change formula?
Y= then enter the number then press graph
Same
[0 -+infinity)
F(x2)-f(x1) / x2-x1

3. 4(x-7)=4x+28 is what type of an equation?
F(x+c) and f(x-c)
Identity
Inconsitent
X2-x1 because the demonaitor of a quotient can never equal zero

4. Is an absolute value function even - odd or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1

5. What is a relation?
(-infinity - +infinity)
Undefined slope
Any set of ordered pairs
Even

6. What is the domain for a standard quadratic function?
Identity
(-infinity - +infinity)
F(x+c) and f(x-c)
Undefined

7. Is a standard quadratic function even - odd or neither?
Y= then enter the number then press graph
The single number y=
1 -2 -3
Even

8. What points do you use to plot the inverse on a graph?
Even
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.
The opposite coordinates

9. What type of line is a constant function?
X math 3 graph
Odd
The first set of components of an ordered pair
Horizontal

10. What is the formula for the standard cubic function?
The secant line
Math 4 x - graph
Y=IxI
F(x)=x^3

11. What are the calculator instructions for a square root function?
45 degree angle
F(x2)-f(x1) / x2-x1
Down
2nd key - x^2 - graph

12. What can never equal zero in the slope formula and why?
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
X2-x1 because the demonaitor of a quotient can never equal zero

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
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
2nd key - x^2 - graph
1 -2 -3

14. What is the vertical line formula?
The single number y=
Negative inverse
Cannot be drawn in quizlet
X=a

15. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

16. What does the standard cubic function look like on a graph?
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function notation
Mirror image neg quadrant to that of the positive quandrant

17. What is the slope intercept formula? Define all the variables.
Y=IxI
(-infinity - +infinity)
Yes - all the domains points to one range
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

18. What is the domain of a square root function?
Y=10
X=a
Math 4 x - graph
[0 -+infinity)

19. What shape is the standard quadratic function?
Parabola
C>1 - horizontal shrinking
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
Cannot be drawn in quizlet

20. What is the formula for the cube root function?
Neither
Undefined slope
F(x)=3 square root x
Negative inverse

21. Two vertical lines side by side are a symbol for what
Parraelle line
Identity
F(x)=x^3
Postiive slope

22. Of the seven of algebra's common graph's how many are even?
Yes because two x's or domains can point to one y
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
Y= then enter the number then press graph

23. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal right
The slope of a line containing two points

24. What is the formula for an absolute value function?
F(x)=IxI
Horizontal
No because you cannot have one domain pointing at two y's or ranges
Horizontal left

25. What is the domain of the cube root function?
Yes because two x's or domains can point to one y
F(x)=x^3
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

26. What is the formula for slope?
Horizontal
As equations
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same

27. Is an absolute value function even - odd or neither?
Three odd - cube root - identity - standard cubic
0<c<1 - horizontal stretching
Even
X = the original sale price and the formula is x - .40x =$276

28. What does the average rate of change formula solve?
When does a graph not define y as a function of x?
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.
Down
The slope of a line containing two points

29. What are the four steps for solving a linear equation?
As equations
[0 -+infinity)
Y=10
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.

30. What type of line is an identity function?
F(x)=3 square root x
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+c) and f(x-c)

31. What type of line is a constant function?
Horizontal
As many as you like
X2-x1 because the demonaitor of a quotient can never equal zero
Because the demintor of a quotient can never equal zero

32. What can we substitute for f(x)?
Y=10
Y
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

33. What is the standard quadratic function?
Even
X^2
Odd
Y= then enter the number then press graph

34. Two vertical lines side by side are a symbol for what
X2-x1 because the demonaitor of a quotient can never equal zero
Conditional
Horizontal right
Parraelle line

35. What is the range of the constant function?
Odd
Three odd - cube root - identity - standard cubic
The single number y=
The minimum or maximum points

36. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Down
Function notation
Conditional

37. What is the formula for the square root function?
(-infinity - +infinity)
F(x)=suare root of x
Horizontal
In a quotient

38. What is the letter used to represent slope?
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
Horizontal
M
20+.05x=5+.10x x=minutes

39. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Undefined slope
Piecewise
Even

40. What is the range for a standard quadratic function?
X^2
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)
Yes because two x's or domains can point to one y

41. What is the formula for to calculate the difference of a quotient function?
X = the original sale price and the formula is x - .40x =$276
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
In a quotient
F(x+h)-f(x)/h h cannot equal zero

42. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
Y= then enter the number then press graph
Conditional
X=a

43. What is the slope of a perpendicular line?
In a quotient
F(x)=+c and f(x)-c
Negative slope
Negative inverse

44. What is the vertical line test?
C>1 - horizontal shrinking
Even
Up
When does a graph not define y as a function of x?

45. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
Zero slope
Y=IxI

46. f(x) = x^2+3x+5 - what type of formula is this?
Even
(-infinity - +infinity)
F(x+c) and f(x-c)
Function notation

47. 4x+5x=8x is what type of an equation?
F(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
Conditional

48. y=f(cx) - What does this formula represent?
Negative inverse
As equations
C>1 - horizontal shrinking
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

49. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
When does a graph not define y as a function of x?
Y

50. Which direction does f(x-c) move
Horizontal right
The second set of components of an ordered pair
Horizontal
Odd