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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 slope intercept formula? Define all the variables.
F(x) = x
Because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x

2. Is an absolute value function even - odd or neither?
Postiive slope
(-infinity - +infinity)
(-infinity - +infinity)
Even

3. What type of slope do vertical lines have?
Undefined
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
Same
Line ascending to the right gradually

4. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Inconsistant
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

5. Two vertical lines side by side are a symbol for what
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Math 4 x - graph
Parraelle line

6. What is the range of the constant function?
F(x^1)=f(x^2)
The single number y=
Even
Even

7. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
As equations
[0 -+infinity)
F(x^1)=f(x^2)

8. What does the standard cubic function look like on a graph?
F(x+h)-f(x)/h h cannot equal zero
Square Root
F(x)=IxI
Mirror image neg quadrant to that of the positive quandrant

9. What type of function would you use to calculate the most advantageous cell phone plan?
Yes because two x's or domains can point to one y
Piecewise
Neither
(-infinity - 0]you[0 - +infinity)

10. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Mirror image neg quadrant to that of the positive quandrant
Even
F(x)=IxI

11. What are the calculator instructions for the standard cubic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=IxI
[0 -+infinity)
X math 3 graph

12. Is the square root function odd - even or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Neither
Yes - all the domains points to one range
F(x)=x^3

13. 4(x-7)=4x-28 is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
When does a graph not define y as a function of x?
Identity

14. In an identity function if f(10)=x than What is y?
F(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
The minimum or maximum points
Y=10

15. What type of line is a constant function?
[0 -+infinity)
Horizontal
As equations
Conditional

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

17. What are the calculator instructions for a standard quadratic equation?
Up
A line passing through two distinct points
Y=x^2 - graph
Negative inverse

18. What type of slope do you have when the line is horizontal and m=0?
A V
Zero 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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

19. How many ranges can you have for each domain?
Even
Only one
Identity
(-infinity - 0]you[0 - +infinity)

20. Is an identity function even - odd or neither?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Odd
Any set of ordered pairs

21. What is the point slope formula and when do you use it?
Function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
No because you cannot have one domain pointing at two y's or ranges
Same

22. 4(x-7)=4x+28 is what type of an equation?
M
Set the x and y to zero and get the intercepts and then plot the points
Inconsitent
Three odd - cube root - identity - standard cubic

23. What is the range of an identity function?
Any set of ordered pairs
Y= then enter the number then press graph
(-infinity - +infinity)
Y= then enter the number then press graph

24. What type of line is an identity function?
Cannot be drawn in quizlet
45 degree angle
[0 -+infinity)
(-infinity - +infinity)

25. Draw or discuss a decreasing function
Identity
(-infinity - +infinity)
[0 -+infinity)
Cannot be drawn in quizlet

26. What is the formula in both horizontal stretching and horizontal shrinking?
Because the demintor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Three odd - cube root - identity - standard cubic

27. What are the four steps for finding the inverse of a function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y= then enter the number then press graph
Y=b
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

28. What is the domain of the cube root function?
(-infinity - +infinity)
Horizontal
X^2
F(x2)-f(x1) / x2-x1

29. Draw or discuss an increasing function
Parabola - up one and right three
Cannot be drawn in quizlet
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

30. What is the vertex?
(-infinity - +infinity)
The slope of a line containing two points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points

31. What is the vertical line formula?
Y=x - identity function
X=a
Negative inverse
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

32. y=f(cx) What does this formula represent?
Even
Function notation
0<c<1 - horizontal stretching
Postiive slope

33. How many ranges can you have for each domain?
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.
The first set of components of an ordered pair
Only one
Y=x - identity function

34. What type of slope do you have when a line rises from left to right and m>0?
Zero slope
The second set of components of an ordered pair
Conditional
Postiive slope

35. What is a domain?
Even
The first set of components of an ordered pair
Cannot be drawn in quizlet
F(x+c) and f(x-c)

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

37. x= a real number is what type of equation?
Conditional
X math 3 graph
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
Math 4 x - graph

38. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Same

39. What is a constant function?
The single number y=
Y= then enter the number then press graph
Parraelle line
F(x^1)=f(x^2)

40. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Identity
Negative inverse
Zero slope

41. What are the four steps for finding the inverse of a function?
Three odd - cube root - identity - standard cubic
Y=b
(-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

42. What is the domain of a square root function?
[0 -+infinity)
Y= then enter the number then press graph
F(x)=x^3
X^2

43. What is the formula for the standard cubic function?
The slope of a line containing two points
1 -2 -3
F(x)=x^3
Piecewise

44. What direction does f(x)-c move in standard absolute value formula?
The slope of a line containing two points
No because you cannot have one domain pointing at two y's or ranges
Neither
Down

45. What type of line is a constant function?
Horizontal
Down
Set the x and y to zero and get the intercepts and then plot the points
Only one

46. Is the standard cubic function odd - even or neither?
Odd
[0 -+infinity)
Inconsistant
Absolute Value - Constant and Standard Quadratic

47. What is a domain?
The first set of components of an ordered pair
Square Root
M
20+.05x=5+.10x x=minutes

48. Is a standard quadratic function even - odd or neither?
The opposite coordinates
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
Cannot be drawn in quizlet

49. What is another way of writing the absolute value function?
Identity
Conditional
F(x)=3 square root x
Y=IxI

50. What type of slope do you have when the line is horizontal and m=0?
X=a
F(x+c) and f(x-c)
A line passing through two distinct points
Zero slope

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College Algebra Test

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