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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 slope?
A line passing through two distinct points
The second set of components of an ordered pair
F of g and g of f
Parabola

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

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3. What is the slope of a perpendicular line?
20+.05x=5+.10x x=minutes
A V
F of g and g of f
Negative inverse

4. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
F(x) = x
2nd key - x^2 - graph
Down

5. Is an absolute value function even - odd or neither?
Even
F(x2)-f(x1) / x2-x1
X math 3 graph
(-infinity - 0]you[0 - +infinity)

6. What type of line is a constant function?
F(x)=+c and f(x)-c
Line ascending to the right gradually
Horizontal
F(x)=x^3

7. What is the standard quadratic function?
A V
Yes - all the domains points to one range
X^2
F(x+c) and f(x-c)

8. Why can h not equal zero in the difference of a quotient function formula?
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
The minimum or maximum points
F(x^1)=f(x^2)

9. y=f(cx) What does this formula represent?
(f+g) - (f-g) - (fg) - (f/g) all of x
0<c<1 - horizontal stretching
45 degree angle
1 -2 -3

10. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Even
C>1 - horizontal shrinking
20+.05x=5+.10x x=minutes
Neither

11. What does the average rate of change formula solve?
Conditional
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The slope of a line containing two points

12. Is the standard cubic function odd - even or neither?
Odd
(-infinity - +infinity)
Undefined slope
Piecewise

13. What type of slope do you have when a line falls left to right and m<0?
Negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Up
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.

14. What direction does f(x)-c move in standard absolute value formula?
Absolute Value - Constant and Standard Quadratic
Down
X2-x1 because the demonaitor of a quotient can never equal zero
Yes because two x's or domains can point to one y

15. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
M
Horizontal right
(-infinity - +infinity)
1 -2 -3

16. What points do you use to plot the inverse on a graph?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Square Root
The opposite coordinates
4 -6 -9

17. What is the formula for an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The secant line
F(x) = x
Y=x - identity function

18. 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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
[0 -+infinity)
F of g and g of f

19. What is another way to write f(x)=x - what type of function is this?
Mirror image neg quadrant to that of the positive quandrant
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
Y=x - identity function

20. What is the range for the standard cubic function?
4 -6 -9
(-infinity - +infinity)
Same
Horizontal

21. What are the calculator instructions for a standard quadratic equation?
X^2
Y=x^2 - graph
Inconsitent
0<c<1 - horizontal stretching

22. What does the standard cubic function look like on a graph?
Horizontal left
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant

23. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
Even
Same
The second set of components of an ordered pair

24. x=no real numbers is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
The first set of components of an ordered pair
Inconsistant

25. What are the algebra of functions?
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
F(x^1)=f(x^2)

26. What is the vertical line formula?
F(x)=+c and f(x)-c
Horizontal left
X=a
Approach neg toward x through zero and above positive close to x

27. What type of slope do you have when m=? and the line is vertical?
Odd
[0 -+infinity)
Undefined slope
20+.05x=5+.10x x=minutes

28. In an identity function if f(10)=x than What is y?
Y=10
The minimum or maximum points
Yes - all the domains points to one range
F of g and g of f

29. What does the absolute value function look like?
The slope of a line containing two points
A V
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Piecewise

30. What is a function?
F(x)=3 square root x
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

31. What is the letter used to represent slope?
As equations
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M

32. What is the range for a standard quadratic function?
Line ascending to the right gradually
The opposite coordinates
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)

33. What is an identity function?
F(x^1)=f(x^2)
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle

34. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
F(x) = x
X = the original sale price and the formula is x - .40x =$276
Odd

35. What is the formula in both horizontal stretching and horizontal shrinking?
Parraelle line
Negative slope
Y=b
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

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

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37. What are the calculator instructions for the standard cubic function?
1 -2 -3
Zero slope
Y=10
X math 3 graph

38. What is the vertex?
X=a
X^2
Postiive slope
The minimum or maximum points

39. What does the average rate of change formula solve?
(-infinity - +infinity)
The minimum or maximum points
The slope of a line containing two points
20+.05x=5+.10x x=minutes

40. Is a constant function even - odd or neither?
A V
Even
F(x)=+c and f(x)-c
[0 -+infinity)

41. What is the point slope formula and when do you use it?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
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.

42. Is the standard cubic function odd - even or neither?
M
F(x+c) and f(x-c)
Odd
Same

43. Which direction does f(x-c) move
Approach neg toward x through zero and above positive close to x
1 -2 -3
Horizontal right
The slope of a line containing two points

44. What type of line is a constant function?
Because the demintor of a quotient can never equal zero
0<c<1 - horizontal stretching
Horizontal
(-infinity - +infinity)

45. How many ranges can you have for each domain?
Horizontal left
The single number y=
Only one
(-infinity - +infinity)

46. Of the seven of algebra's common graph's how many are neither?
Even
Square Root
(-infinity - +infinity)
(-infinity - +infinity)

47. What is the domain for an absolute value function?
Conditional
(-infinity - +infinity)
F of g and g of f
Horizontal right

48. What is the domain of the cube root function?
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Cannot be drawn in quizlet

49. What type of slope do horizontal lines have?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Set the x and y to zero and get the intercepts and then plot the points
Same
Yes because two x's or domains can point to one y

50. How many ranges can you have for each domain?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal
Only one