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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. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
M
Undefined slope
In a quotient

2. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
Three odd - cube root - identity - standard cubic
F(x)=IxI

3. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Only one
Mirror image neg quadrant to that of the positive quandrant
Math 4 x - graph

4. Is the square root function odd - even or neither?
Neither
As many as you like
20+.05x=5+.10x x=minutes
(-infinity - 0]you[0 - +infinity)

5. What does the average rate of change formula solve?
F(x)=x^3
Even
F of g and g of f
The slope of a line containing two points

6. 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
Horizontal
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x2)-f(x1) / x2-x1

7. x=no real numbers is what type of an equation?
(-infinity - +infinity)
Inconsistant
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

8. What is the vertical line formula?
The first set of components of an ordered pair
X=a
(-infinity - +infinity)
As many as you like

9. What are the four steps for solving a linear equation?
A V
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.
Negative inverse
Parabola - up one and right three

10. What does the absolute value function look like?
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x
F(x)=x^3
A V

11. What is the formula for an identity function?
(-infinity - 0]you[0 - +infinity)
Even
F(x) = x
Parabola - up one and right three

12. What are the calculator instructions for the standard cubic function?
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
Cannot be drawn in quizlet
X math 3 graph

13. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Only one
Even
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

14. f(x) = x^2+3x+5 - what type of formula is this?
F of g and g of f
Function notation
Cannot be drawn in quizlet
Yes - all the domains points to one range

15. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Even
Down

16. standard absolute value - horizontal shift formulas for left and right
The slope of a line containing two points
Perpendicular line
Parraelle line
F(x+c) and f(x-c)

17. What is the horizontal line formula?
Y=b
Parabola - up one and right three
Math 4 x - graph
Inconsistant

18. What can never equal zero in the slope formula and why?
X math 3 graph
Piecewise
X2-x1 because the demonaitor of a quotient can never equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

19. How many ranges can you have for each domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
Only one
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

20. x=no real numbers is what type of an equation?
Inconsistant
The opposite coordinates
Function notation
The single number y=

21. What does the standard cubic function look like on a graph?
Undefined slope
Y= then enter the number then press graph
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant

22. What is the point slope formula and when do you use it?
In a quotient
Y=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Perpendicular line

23. How are functions normally written?
Equation of a line
As equations
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

24. What type of slope do you have when a line falls left to right and m<0?
Y=b
Identity
Only one
Negative slope

25. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
X math 3 graph
Set the x and y to zero and get the intercepts and then plot the points
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

26. What is the standard quadratic function?
X^2
When does a graph not define y as a function of x?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

27. Why can h not equal zero in the difference of a quotient function formula?
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.
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Because the demintor of a quotient can never equal zero

28. What is the domain of the cube root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

29. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
F of g and g of f
F(x)=3 square root x

30. Is an identity function even - odd or neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Odd
Down
As equations

31. What is a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
F(x^1)=f(x^2)
Y

32. What is a relation?
X=a
Any set of ordered pairs
X=a
F(x2)-f(x1) / x2-x1

33. What is the letter used to represent slope?
Conditional
C>1 - horizontal shrinking
A V
M

34. What is the letter used to represent slope?
In a quotient
[0 -+infinity)
Because the demintor of a quotient can never equal zero
M

35. Is an absolute value function even - odd or neither?
Because the demintor of a quotient can never equal zero
Even
Function notation
Conditional

36. x= a real number is what type of equation?
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

37. What is a function?
Cannot be drawn in quizlet
Negative inverse
2nd key - x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

38. What is the domain of an identity function?
Any set of ordered pairs
45 degree angle
Horizontal
(-infinity - +infinity)

39. What is the formula for an absolute value function?
F(x)=IxI
Equation of a line
In a quotient
F(x+c) and f(x-c)

40. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Postiive slope
F(x)=suare root of x
C>1 - horizontal shrinking

41. What type of line is an identity function?
Line ascending to the right gradually
Zero slope
Piecewise
45 degree angle

42. What is the range for an absolute value function?
F(x) = x
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
The single number y=

43. What is the domain of the cube root function?
The first set of components of an ordered pair
(-infinity - +infinity)
Parabola - up one and right three
Any set of ordered pairs

44. What type of slope do you have when a line rises from left to right and m>0?
Horizontal
Postiive slope
Horizontal
Piecewise

45. What is the slope of a perpendicular line?
Identity
Only one
Postiive slope
Negative inverse

46. What are two examples of composit functions?
F of g and g of f
F(x)=3 square root x
Conditional
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

47. What are the calculator instructions for absolute value?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Function notation
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

48. What are the calculator instructions for absolute value?
Horizontal right
Square Root
2nd catalog (zero key -) abs(x) - graph
F(x2)-f(x1) / x2-x1

49. Two vertical lines side by side are a symbol for what
F(x+c) and f(x-c)
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=IxI

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