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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. In an identity function if f(10)=x than What is y?
Zero slope
Parraelle line
Y=10
Identity

2. What is the standard quadratic function?
F(x+c) and f(x-c)
(-infinity - +infinity)
When does a graph not define y as a function of x?
X^2

3. What does the average rate of change formula solve?
The slope of a line containing two points
Function notation
(-infinity - +infinity)
Zero slope

4. Draw or discuss an increasing function
Cannot be drawn in quizlet
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
Even
The slope of a line containing two points

5. What is the domain for the standard cubic function?
Neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

6. What is the average rate of change formula?
Approach neg toward x through zero and above positive close to x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=
F(x2)-f(x1) / x2-x1

7. x=all real numbers is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Identity
Conditional

8. What are two examples of composit functions?
Parabola
F of g and g of f
Any set of ordered pairs
F(x)=IxI

9. What type of line is a constant function?
Approach neg toward x through zero and above positive close to x
Horizontal
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

10. What is a function?
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.
A V
Perpendicular line

11. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Inconsistant
Up
Horizontal right
20+.05x=5+.10x x=minutes

12. Is an absolute value function even - odd or neither?
Y
As equations
Even
(-infinity - +infinity)

13. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Even
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.
20+.05x=5+.10x x=minutes
The second set of components of an ordered pair

14. What is the formula for the square root function?
F(x)=suare root of x
In a quotient
Y=IxI
Three odd - cube root - identity - standard cubic

15. What is the domain of the cube root function?
F(x) = x
Parabola - up one and right three
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
45 degree angle
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.
As many as you like

17. What is the range of an identity function?
Math 4 x - graph
(-infinity - +infinity)
Horizontal
Y

18. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Undefined
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

19. Is an absolute value function even - odd or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
Up
The secant line

20. What does the graph of the cube root function look like on the 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
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Only one

21. $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?
Because the demintor of a quotient can never equal zero
(-infinity - +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
Inconsitent

22. What are the algebra of functions?
The opposite coordinates
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1 -2 -3

23. What is the domain for a standard quadratic function?
Horizontal
As many as you like
The opposite coordinates
(-infinity - +infinity)

24. What are the steps for solving a word problem?
Yes - all the domains points to one range
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 slope
As many as you like

25. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Even
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c

26. What is the formula for slope?
The slope of a line containing two points
X = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parabola

27. What are the calculator instructions for absolute value?
X2-x1 because the demonaitor of a quotient can never equal zero
2nd key - x^2 - graph
Odd
2nd catalog (zero key -) abs(x) - graph

28. What can we substitute for f(x)?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The single number y=
Y
Down

29. What is the vertical line formula?
F of g and g of f
(-infinity - +infinity)
X=a
Y=b

30. What type of slope do vertical lines have?
Zero slope
2nd catalog (zero key -) abs(x) - graph
Undefined
Line ascending to the right gradually

31. Draw or discuss a constant function
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity

32. Two vertical lines side by side are a symbol for what
Parraelle line
Parabola - up one and right three
F(x+h)-f(x)/h h cannot equal zero
Horizontal right

33. What are two examples of composit functions?
Up
4 -6 -9
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F of g and g of f

34. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
4 -6 -9
Piecewise
Yes - all the domains points to one range
4 -6 -9

35. What type of line is a constant function?
Horizontal
C>1 - horizontal shrinking
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 math 3 graph

36. What is the formula for to calculate the difference of a quotient function?
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
Odd
Set the x and y to zero and get the intercepts and then plot the points
F(x+h)-f(x)/h h cannot equal zero

37. What is the average rate of change formula?
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points
1 -2 -3
F(x2)-f(x1) / x2-x1

38. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
X is the hours to repair the boat. $1603-532=anwser/63 = x
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

39. What is another way of writing the absolute value function?
Even
Y=IxI
Even
A line passing through two distinct points

40. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F of g and g of f
(-infinity - +infinity)
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
Undefined slope

41. What is the range for a standard quadratic function?
No because you cannot have one domain pointing at two y's or ranges
2nd key - x^2 - graph
(-infinity - 0]you[0 - +infinity)
Conditional

42. What is the range for the standard cubic function?
(-infinity - +infinity)
Identity
Down
Change in y / change in x = rise / run = y2-y1 / x2-x1

43. What is a constant function?
F(x^1)=f(x^2)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. What shape is the standard quadratic function?
Parabola
Even
Odd
F(x)=IxI

45. What is another way to write f(x)=x - what type of function is this?
Perpendicular line
F(x+h)-f(x)/h h cannot equal zero
Y=x - identity 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.

46. What is another way to write f(x)=x - what type of function is this?
Y=x - identity 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.
0<c<1 - horizontal stretching
Y

47. What is the vertical line test?
Square Root
A V
When does a graph not define y as a function of x?
(-infinity - +infinity)

48. How are functions normally written?
Even
Odd
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 equations

49. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
4 -6 -9
The opposite coordinates
F(x2)-f(x1) / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = x

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

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