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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. How many domains can you have pointing to one range?
When does a graph not define y as a function of x?
(-infinity - +infinity)
The single number y=
As many as you like

2. What can we substitute for f(x)?
C>1 - horizontal shrinking
Y= then enter the number then press graph
Horizontal right
Y

3. Of the seven of algebra's common graph's how many are odd?
Horizontal
Horizontal
Mirror image neg quadrant to that of the positive quandrant
Three odd - cube root - identity - standard cubic

4. Draw or discuss a decreasing function
Y= then enter the number then press graph
Identity
Cannot be drawn in quizlet
(-infinity - +infinity)

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

6. y=f(cx) - What does this formula represent?
Even
X2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking
4 -6 -9

7. What are the calculator instructions for a square root function?
X=a
Set the x and y to zero and get the intercepts and then plot the points
M
2nd key - x^2 - graph

8. y=f(cx) What does this formula represent?
The second set of components of an ordered pair
0<c<1 - horizontal stretching
Parraelle line
Y=x - identity function

9. What is the domain of an identity function?
In a quotient
F(x+c) and f(x-c)
Negative inverse
(-infinity - +infinity)

10. What is the domain of a square root function?
When does a graph not define y as a function of x?
[0 -+infinity)
Undefined
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.

11. What is slope?
A line passing through two distinct points
The single number y=
(-infinity - 0]you[0 - +infinity)
The secant line

12. Of the seven of algebra's common graph's how many are neither?
Horizontal left
Absolute Value - Constant and Standard Quadratic
Square Root
[0 -+infinity)

13. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The first set of components of an ordered pair
Even
Y

14. What type of line is a constant function?
2nd key - x^2 - graph
Horizontal
45 degree angle
4 -6 -9

15. What equation does every line have? Discuss the variables.
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=x - identity function
When does a graph not define y as a function of x?
[0 -+infinity)

16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
C>1 - horizontal shrinking
The secant line
Any set of ordered pairs
Zero slope

17. What is an identity function?
The first set of components of an ordered pair
Postiive slope
45 degree angle
Perpendicular line

18. How are functions normally written?
45 degree angle
The minimum or maximum points
Yes - all the domains points to one range
As equations

19. Is the square root function odd - even or neither?
Neither
Y
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

20. What type of line is a constant function?
Identity
F(x) = x
Horizontal
F(x^1)=f(x^2)

21. Draw or discuss an increasing function
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Horizontal

22. What does the absolute value function look like?
(-infinity - +infinity)
Identity
Horizontal left
A V

23. 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?
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The slope of a line containing two points
X is the hours to repair the boat. $1603-532=anwser/63 = x

24. What is the formula for an absolute value function?
F(x)=IxI
(-infinity - +infinity)
Odd
F(x+h)-f(x)/h h cannot equal zero

25. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
F(x) = x
Negative slope
Same

26. What type of slope do horizontal lines have?
Inconsistant
(-infinity - +infinity)
Same
Up

27. Draw or discuss a constant function
No because you cannot have one domain pointing at two y's or ranges
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
Cannot be drawn in quizlet

28. A flat line underlining one vertical line is a symbol for...
The secant line
Perpendicular line
(-infinity - +infinity)
Function notation

29. How are functions normally written?
As equations
(-infinity - +infinity)
Math 4 x - graph
(-infinity - +infinity)

30. Two vertical lines side by side are a symbol for what
Parraelle line
Piecewise
X math 3 graph
45 degree angle

31. Is an absolute value function even - odd or neither?
F(x)=suare root of x
Even
Negative slope
Perpendicular line

32. What shape is the standard quadratic function?
The secant line
The opposite coordinates
Math 4 x - graph
Parabola

33. 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
Odd
Even
Set the x and y to zero and get the intercepts and then plot the points

34. What is the average rate of change formula?
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

35. What shape is the standard quadratic function?
Parabola
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal right
2nd key - x^2 - graph

36. What type of line is an identity function?
45 degree angle
X^2
(-infinity - +infinity)
Yes because two x's or domains can point to one y

37. What type of slope do you have when the line is horizontal and m=0?
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle
2nd catalog (zero key -) abs(x) - graph
Zero slope

38. Which direction does f(x)=+c move in standard absolute value formula?
Up
1 -2 -3
The first set of components of an ordered pair
Math 4 x - graph

39. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x+h)-f(x)/h h cannot equal zero
Y=x - identity function
X = the original sale price and the formula is x - .40x =$276
When does a graph not define y as a function of x?

40. How many ranges can you have for each domain?
The single number y=
[0 -+infinity)
Line ascending to the right gradually
Only one

41. What is a domain?
The slope of a line containing two points
The first set of components of an ordered pair
The secant line
Horizontal

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

43. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
(-infinity - +infinity)
Math 4 x - graph
F of g and g of f

44. What is the formula in both horizontal stretching and horizontal shrinking?
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Parabola - up one and right three

45. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
Identity

46. What are the four steps for solving a linear equation?
Cannot be drawn in quizlet
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.
2nd key - x^2 - graph
F(x)=x^3

47. Is an identity function even - odd or neither?
Horizontal
Parraelle line
(-infinity - +infinity)
Odd

48. x=no real numbers is what type of an equation?
0<c<1 - horizontal stretching
Inconsistant
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient

49. What type of slope do you have when a line falls left to right and m<0?
The slope of a line containing two points
Y= then enter the number then press graph
Negative slope
Same

50. What is the average rate of change formula?
Y=x - identity function
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
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)