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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 does the absolute value function look like?
Function notation
A V
Odd
Neither

2. What are the steps for solving a word problem?
X math 3 graph
F(x) = x
[0 -+infinity)
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

3. How many domains can you have pointing to one range?
Y=b
No because you cannot have one domain pointing at two y's or ranges
As many as you like
Conditional

4. What is the average rate of change formula?
Yes because two x's or domains can point to one y
F(x2)-f(x1) / x2-x1
The second set of components of an ordered pair
(-infinity - +infinity)

5. What type of slope do you have when the line is horizontal and m=0?
F(x)=x^3
F(x)=+c and f(x)-c
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
Zero slope

6. How are functions normally written?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As equations
The first set of components of an ordered pair
Equation of a line

7. What is the range of the cube root function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
Odd
Equation of a line

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
X is the hours to repair the boat. $1603-532=anwser/63 = x
4 -6 -9
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.
Set the x and y to zero and get the intercepts and then plot the points

9. y=f(cx) - What does this formula represent?
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
In a quotient
[0 -+infinity)

10. What is the formula for an absolute value function?
The single number y=
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes
F(x)=IxI

11. Is a standard quadratic function even - odd or neither?
As many as you like
F(x2)-f(x1) / x2-x1
Three odd - cube root - identity - standard cubic
Even

12. Of the seven of algebra's common graph's how many are neither?
Zero slope
As equations
Horizontal left
Square Root

13. What is the domain for the standard cubic function?
Square Root
Function notation
(-infinity - +infinity)
The first set of components of an ordered pair

14. What is the horizontal line formula?
Same
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=b

15. What is another way of writing the absolute value function?
(-infinity - +infinity)
F(x)=x^3
F of g and g of f
Y=IxI

16. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
Inconsitent
Y=b
As equations

17. Of the seven of algebra's common graph's how many are even?
The single number y=
Absolute Value - Constant and Standard Quadratic
Square Root
Up

18. What is the formula for slope?
When does a graph not define y as a function of x?
Negative slope
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1

19. Is the standard cubic function odd - even or neither?
Perpendicular line
2nd catalog (zero key -) abs(x) - graph
A line passing through two distinct points
Odd

20. What does the standard cubic function look like on a graph?
Parraelle line
Mirror image neg quadrant to that of the positive quandrant
Three odd - cube root - identity - standard cubic
[0 -+infinity)

21. What is the formula for an absolute value function?
F(x)=IxI
The single number y=
Approach neg toward x through zero and above positive close to x
X^2

22. What is the range for a standard quadratic function?
Y=IxI
Even
Parabola
(-infinity - 0]you[0 - +infinity)

23. What is the domain of a square root function?
Undefined slope
Y=b
Equation of a line
[0 -+infinity)

24. How do you graph Ax+By+C=0?
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
Cannot be drawn in quizlet
(-infinity - +infinity)

25. How many ranges can you have for each domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A V
Up
Only one

26. What is the domain for an absolute value function?
Identity
(-infinity - +infinity)
A line passing through two distinct points
X2-x1 because the demonaitor of a quotient can never equal zero

27. What is the vertex?
The minimum or maximum points
X2-x1 because the demonaitor of a quotient can never equal zero
Identity
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.

28. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
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
1 -2 -3

29. 4(x-7)=4x-28 is what type of an equation?
Up
Any set of ordered pairs
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Identity

30. What type of line is a constant function?
Y=x - identity function
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

31. What is the formula for to calculate the difference of a quotient function?
The single number y=
Down
F(x+h)-f(x)/h h cannot equal zero
The slope of a line containing two points

32. What is the formula for to calculate the difference of a quotient function?
Y=IxI
F(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x
Mirror image neg quadrant to that of the positive quandrant

33. Is a constant function even - odd or neither?
Even
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
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.

34. What is the domain of the cube root function?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Down
Function notation

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

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36. What is the formula for an identity function?
2nd key - x^2 - graph
Y= then enter the number then press graph
F(x) = x
F(x2)-f(x1) / x2-x1

37. 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
Neither
Y=IxI
A line passing through two distinct points

38. 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
Y= then enter the number then press graph
Horizontal

39. In an identity function if f(10)=x than What is y?
Zero slope
Y=10
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
Function notation

40. What does linear equation mean?
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
X=a
Equation of a line

41. What points do you use to plot the inverse on a graph?
The opposite coordinates
Y=x - identity function
(-infinity - +infinity)
The first set of components of an ordered pair

42. What is the domain of an identity function?
(-infinity - +infinity)
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet

43. What is the letter used to represent slope?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Math 4 x - graph
M
Equation of a line

44. y=f(cx) - What does this formula represent?
The first set of components of an ordered pair
The second set of components of an ordered pair
Equation of a line
C>1 - horizontal shrinking

45. What is the range for an absolute value function?
Even
(-infinity - 0]you[0 - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal

46. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Identity
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

47. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Function notation
Horizontal
Absolute Value - Constant and Standard Quadratic

48. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Math 4 x - graph
Inconsistant
A line passing through two distinct points

49. Two vertical lines side by side are a symbol for what
X = the original sale price and the formula is x - .40x =$276
Horizontal left
Parraelle line
X=a

50. When is the only time (-infinity - +infinity) is not the domain?
Y=b
Y=10
In a quotient
4 -6 -9