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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 another way to write f(x)=x - what type of function is this?
Yes - all the domains points to one range
Identity
Down
Y=x - identity function

2. Which direction does f(x+c) move
Horizontal left
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x^1)=f(x^2)

3. Which direction does f(x+c) move
Postiive slope
Y
Down
Horizontal left

4. What equation does every line have? Discuss the variables.
(f+g) - (f-g) - (fg) - (f/g) all of x
F of g and g of f
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.
X^2

5. Draw or discuss a decreasing function
In a quotient
F of g and g of f
(-infinity - +infinity)
Cannot be drawn in quizlet

6. How many ranges can you have for each domain?
Only one
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Down

7. In an identity function if f(10)=x than What is y?
Undefined
Down
Y=10
Parabola

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

9. Of the seven of algebra's common graph's how many are odd?
Undefined slope
Because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
2nd catalog (zero key -) abs(x) - graph

10. What does the graph of the cube root function look like on the graph?
Yes - all the domains points to one range
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero

11. What is a function?
The minimum or maximum points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
Approach neg toward x through zero and above positive close to x

12. What are two examples of composit functions?
F(x) = x
F of g and g of f
The opposite coordinates
Perpendicular line

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The first set of components of an ordered pair
The secant line
C>1 - horizontal shrinking
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

14. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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
As many as you like
C>1 - horizontal shrinking

15. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function notation
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.
F(x)=3 square root x

16. y=f(cx) What does this formula represent?
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
[0 -+infinity)
Same
0<c<1 - horizontal stretching

17. 4x+5x=8x is what type of an equation?
As equations
Identity
Y= then enter the number then press graph
Conditional

18. What is a relation?
Horizontal right
Up
2nd key - x^2 - graph
Any set of ordered pairs

19. What type of slope do horizontal lines have?
Cannot be drawn in quizlet
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Same

20. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Horizontal
Equation of a line
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

21. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1
F(x^1)=f(x^2)
Yes - all the domains points to one range

22. 4(x-7)=4x-28 is what type of an equation?
Identity
0<c<1 - horizontal stretching
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
Perpendicular line

23. What are the calculator instructions for the cube root function?
Math 4 x - graph
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

24. Two vertical lines side by side are a symbol for what
C>1 - horizontal shrinking
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.
Math 4 x - graph
Parraelle line

25. What is a relation?
X^2
Cannot be drawn in quizlet
The second set of components of an ordered pair
Any set of ordered pairs

26. Draw or discuss a decreasing 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
Cannot be drawn in quizlet
F(x)=3 square root x

27. How many domains can you have pointing to one range?
Parraelle line
(-infinity - +infinity)
2nd key - x^2 - graph
As many as you like

28. What is the range for an absolute value function?
Even
(-infinity - 0]you[0 - +infinity)
Zero slope
F(x+c) and f(x-c)

29. 4(x-7)=4x-28 is what type of an equation?
Y=x - identity function
(-infinity - +infinity)
Identity
(-infinity - 0]you[0 - +infinity)

30. What is the range of an identity function?
(-infinity - +infinity)
The secant line
F(x2)-f(x1) / x2-x1
The first set of components of an ordered pair

31. What does the average rate of change formula solve?
As many as you like
Cannot be drawn in quizlet
Perpendicular line
The slope of a line containing two points

32. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
F(x) = x
F(x)=3 square root x
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
[0 -+infinity)

33. What type of line is an identity function?
Parabola - up one and right three
Even
Yes - all the domains points to one range
45 degree angle

34. What does the average rate of change formula solve?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20+.05x=5+.10x x=minutes
The slope of a line containing two points
Parabola

35. What are the calculator instructions for absolute value?
Parabola
The second set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

36. What does the standard cubic function look like on a graph?
Undefined slope
Any set of ordered pairs
Parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant

37. What is the horizontal line formula?
(-infinity - +infinity)
Identity
Y=b
(-infinity - +infinity)

38. What are the steps for solving a word problem?
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
Undefined
Y=x - identity function
Change in y / change in x = rise / run = y2-y1 / x2-x1

39. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Odd
Horizontal right
Yes because two x's or domains can point to one y
20+.05x=5+.10x x=minutes

40. Is a constant function even - odd or neither?
F(x) = x
Even
F(x)=3 square root x
The secant line

41. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
F(x)=x^3
Square Root
Set the x and y to zero and get the intercepts and then plot the points

42. What is the formula for an absolute value function?
Yes because two x's or domains can point to one y
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.
F(x)=IxI
Equation of a line

43. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
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
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=IxI
(-infinity - +infinity)

44. f(x) = x^2+3x+5 - what type of formula is this?
Neither
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Identity
Function notation

45. Is an absolute value function even - odd or neither?
Up
(-infinity - +infinity)
Even
Square Root

46. Of the seven of algebra's common graph's how many are neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Square Root
1 -2 -3
Three odd - cube root - identity - standard cubic

47. What is the vertical line test?
X^2
When does a graph not define y as a function of x?
Even
Horizontal

48. What is the range for a standard quadratic function?
F of g and g of f
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Any set of ordered pairs

49. Of the seven of algebra's common graph's how many are odd?
Inconsitent
Y=IxI
Three odd - cube root - identity - standard cubic
Conditional

50. What is the formula for the standard cubic function?
(-infinity - +infinity)
The first set of components of an ordered pair
F(x)=x^3
(-infinity - 0]you[0 - +infinity)