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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 points do you use to plot the inverse on a graph?
F(x)=+c and f(x)-c
F(x)=suare root of x
Parabola
The opposite coordinates

2. What is the domain of a square root function?
[0 -+infinity)
(-infinity - +infinity)
C>1 - horizontal shrinking
F(x2)-f(x1) / x2-x1

3. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Negative inverse
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

4. What is slope?
Horizontal left
A line passing through two distinct points
As many as you like
Set the x and y to zero and get the intercepts and then plot the points

5. What does the graph of the cube root function look like on the graph?
Negative slope
Because the demintor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x

6. What does the standard cubic function look like on a graph?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)
Y=IxI
Mirror image neg quadrant to that of the positive quandrant

7. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
(-infinity - 0]you[0 - +infinity)
Negative slope
Y= then enter the number then press graph

8. Is the square root function odd - even or neither?
Neither
Y= then enter the number then press graph
Cannot be drawn in quizlet
As many as you like

9. Is an identity function even - odd or neither?
The opposite coordinates
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Odd
Inconsitent

10. How are functions normally written?
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points
As equations

11. What type of line is a constant function?
(-infinity - +infinity)
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

12. What is the slope of a perpendicular line?
Negative inverse
The second set of components of an ordered pair
4 -6 -9
Horizontal

13. What is a domain?
Y=b
The slope of a line containing two points
The first set of components of an ordered pair
X = the original sale price and the formula is x - .40x =$276

14. standard absolute value - horizontal shift formulas for left and right
Conditional
Cannot be drawn in quizlet
F(x)=3 square root x
F(x+c) and f(x-c)

15. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

16. Is an absolute value function even - odd or neither?
Y= then enter the number then press 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.
Even
Horizontal left

17. What type of line is an identity function?
The minimum or maximum points
Even
45 degree angle
Three odd - cube root - identity - standard cubic

18. x=no real numbers is what type of an equation?
Any set of ordered pairs
Inconsistant
A V
Y=x^2 - graph

19. What type of slope do horizontal lines have?
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
Same
F(x)=x^3

20. What is the range for a standard quadratic function?
Y=x - identity function
Horizontal right
(-infinity - 0]you[0 - +infinity)
Identity

21. Is a constant function even - odd or neither?
C>1 - horizontal shrinking
No because you cannot have one domain pointing at two y's or ranges
Negative inverse
Even

22. Of the seven of algebra's common graph's how many are neither?
Postiive slope
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.
Parabola - up one and right three
Square Root

23. What are the calculator instructions for the cube root function?
1 -2 -3
(-infinity - +infinity)
Math 4 x - graph
(-infinity - +infinity)

24. Draw or discuss a decreasing function
The slope of a line containing two points
Even
Even
Cannot be drawn in quizlet

25. What is the domain for an absolute value function?
The second set of components of an ordered pair
(-infinity - +infinity)
As equations
20+.05x=5+.10x x=minutes

26. 4(x-7)=4x-28 is what type of an equation?
Square Root
Identity
When does a graph not define y as a function of x?
X = the original sale price and the formula is x - .40x =$276

27. What does the square root function look like on a graph?
Cannot be drawn in quizlet
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually

28. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
0<c<1 - horizontal stretching
Yes because two x's or domains can point to one y

29. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
C>1 - horizontal shrinking
Set the x and y to zero and get the intercepts and then plot the points
Y=b

30. 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
(-infinity - +infinity)
Math 4 x - graph
Square Root

31. Is an absolute value function even - odd or neither?
Identity
45 degree angle
X math 3 graph
Even

32. y=f(cx) - What does this formula represent?
1 -2 -3
C>1 - horizontal shrinking
45 degree angle
(-infinity - 0]you[0 - +infinity)

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

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34. What is the vertical line formula?
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
X=a
Piecewise

35. 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?
When does a graph not define y as a function of x?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x+h)-f(x)/h h cannot equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x

36. What does the graph of the cube root function look like on the graph?
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
Inconsistant
Approach neg toward x through zero and above positive close to x

37. A flat line underlining one vertical line is a symbol for...
A line passing through two distinct points
Perpendicular line
Postiive slope
2nd key - x^2 - graph

38. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Y= then enter the number then press graph
F(x2)-f(x1) / x2-x1

39. What is the formula for slope?
Neither
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation

40. What direction does f(x)-c move in standard absolute value formula?
Negative slope
Down
1 -2 -3
Parabola

41. How do you calculate a constant function in your calculator?
X^2
2nd key - x^2 - graph
Y= then enter the number then press graph
The first set of components of an ordered pair

42. What is the point slope formula and when do you use it?
Y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Identity
[0 -+infinity)

43. What type of slope do you have when a line falls left to right and m<0?
Horizontal left
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.
(-infinity - +infinity)
Negative slope

44. What is the point slope formula and when do you use it?
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
(-infinity - +infinity)
C>1 - horizontal shrinking

45. What is the horizontal line formula?
Horizontal left
Conditional
Y=b
X^2

46. Is a constant function even - odd or neither?
X^2
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
F(x)=x^3

47. What shape is the standard quadratic function?
Zero slope
Parabola
The first set of components of an ordered pair
The slope of a line containing two points

48. In an identity function if f(10)=x than What is y?
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)
Y=10
Yes - all the domains points to one range

49. What is the vertex?
[0 -+infinity)
(-infinity - +infinity)
The minimum or maximum points
Negative slope

50. What are the calculator instructions for absolute value?
Negative slope
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x