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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. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Perpendicular line
X=a
X math 3 graph

2. What can we substitute for f(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.
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Y

3. What can we substitute for f(x)?
(-infinity - +infinity)
Y
Odd
F(x) = x

4. Which direction does f(x-c) move
Cannot be drawn in quizlet
Y=b
Perpendicular line
Horizontal right

5. What does the average rate of change formula solve?
(-infinity - +infinity)
2nd key - x^2 - graph
The slope of a line containing two points
(-infinity - +infinity)

6. What is the domain of an identity function?
As many as you like
F(x)=suare root of x
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x+h)-f(x)/h h cannot equal zero
The secant line
Square Root
Parraelle line

8. How do you graph Ax+By+C=0?
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
2nd key - x^2 - graph

9. What is an identity function?
45 degree angle
0<c<1 - horizontal stretching
F(x)=3 square root x
Three odd - cube root - identity - standard cubic

10. Of the seven of algebra's common graph's how many are neither?
Set the x and y to zero and get the intercepts and then plot the points
Square Root
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.
(-infinity - +infinity)

11. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Even
Horizontal right
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. How are functions normally written?
Equation of a line
M
As equations
(-infinity - +infinity)

13. Is a constant function even - odd or neither?
Identity
Undefined
[0 -+infinity)
Even

14. What type of slope do vertical lines have?
(-infinity - +infinity)
Undefined
X^2
Conditional

15. Draw or discuss a decreasing function
A V
Cannot be drawn in quizlet
Horizontal right
F(x2)-f(x1) / x2-x1

16. What does the graph of the cube root function look like on the graph?
As many as you like
4 -6 -9
Approach neg toward x through zero and above positive close to x
2nd catalog (zero key -) abs(x) - graph

17. What is the standard quadratic function?
X^2
Horizontal left
(-infinity - +infinity)
Math 4 x - graph

18. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
45 degree angle
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)
F(x) = x

19. What is the formula for the cube root function?
F(x)=+c and f(x)-c
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined

20. What is the domain for a standard quadratic function?
Horizontal
(-infinity - +infinity)
Y=b
Odd

21. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Identity
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

22. What type of line is a constant function?
Horizontal
Cannot be drawn in quizlet
(-infinity - +infinity)
Math 4 x - graph

23. What is the formula for an absolute value function?
(-infinity - 0]you[0 - +infinity)
In a quotient
Same
F(x)=IxI

24. What is a domain?
F(x) = x
(-infinity - +infinity)
The first set of components of an ordered pair
F(x) = x

25. What type of line is an identity function?
Yes - all the domains points to one range
0<c<1 - horizontal stretching
(-infinity - +infinity)
45 degree angle

26. What is a domain?
The first set of components of an ordered pair
In a quotient
Parraelle line
(-infinity - +infinity)

27. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Undefined
Yes because two x's or domains can point to one y
(-infinity - +infinity)

28. What equation does every line have? Discuss the variables.
Inconsitent
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What type of slope do you have when m=? and the line is vertical?
Conditional
Undefined slope
F(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph

30. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The second set of components of an ordered pair
Y=10
F(x+c) and f(x-c)

31. How many domains can you have pointing to one range?
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Conditional
As many as you like

32. What is the domain of a square root function?
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
Math 4 x - graph
[0 -+infinity)

33. What is slope?
A line passing through two distinct points
Horizontal left
Even
2nd catalog (zero key -) abs(x) - graph

34. What is a function?
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph
As equations
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph
(-infinity - +infinity)
Perpendicular line

36. What are the calculator instructions for a square root function?
(-infinity - +infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet
2nd key - x^2 - graph

37. What is the range for the standard cubic function?
F(x)=IxI
Y
Piecewise
(-infinity - +infinity)

38. What type of slope do you have when a line falls left to right and m<0?
[0 -+infinity)
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
A V
Negative slope

39. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
The secant line
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant
Equation of a line

40. What are the calculator instructions for the standard cubic function?
[0 -+infinity)
X math 3 graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Identity

41. What is the domain for an absolute value function?
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)
Cannot be drawn in quizlet
2nd key - x^2 - graph

42. What is another way of writing the absolute value function?
Postiive slope
C>1 - horizontal shrinking
Y=IxI
0<c<1 - horizontal stretching

43. What is the domain and range of a constant function?
Y=b
Y=x^2 - graph
(-infinity - +infinity)
Odd

44. What are two examples of composit functions?
F of g and g of f
Parabola
Cannot be drawn in quizlet
(-infinity - +infinity)

45. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F(x) = x
F(x)=+c and f(x)-c
Only one

46. What does the standard cubic function look like on a graph?
The single number y=
Y=IxI
Inconsistant
Mirror image neg quadrant to that of the positive quandrant

47. What are the calculator instructions for a square root function?
Square Root
Horizontal
2nd key - x^2 - graph
The secant line

48. Two vertical lines side by side are a symbol for what
Up
Parraelle line
4 -6 -9
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

49. What are the calculator instructions for the standard cubic function?
The first set of components of an ordered pair
X math 3 graph
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

50. What is the vertical line test?
Function notation
(-infinity - +infinity)
When does a graph not define y as a function of x?
Piecewise

Can you answer 50 questions in 15 minutes?

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College Algebra Test

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