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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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Inconsitent
[0 -+infinity)
2nd catalog (zero key -) abs(x) - 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

2. What is the standard quadratic function?
X^2
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points

3. What type of slope do you have when the line is horizontal and m=0?
(-infinity - 0]you[0 - +infinity)
Zero slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
The single number y=

4. What are the four steps for finding the inverse of a function?
Parabola
2nd key - x^2 - graph
2nd catalog (zero key -) abs(x) - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

5. 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
Y=x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
When does a graph not define y as a function of x?

6. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
X = the original sale price and the formula is x - .40x =$276
1 -2 -3
X^2

7. What type of line is a constant function?
F(x)=3 square root x
Horizontal
Horizontal right
Cannot be drawn in quizlet

8. 4(x-7)=4x-28 is what type of an equation?
F(x+c) and f(x-c)
A line passing through two distinct points
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.
Identity

9. x=all real numbers is what type of an equation?
Down
Identity
Piecewise
Y=IxI

10. Draw or discuss a decreasing function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
F(x)=IxI

11. What is another way to write f(x)=x - what type of function is this?
Horizontal
Y=x - identity function
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)

12. Of the seven of algebra's common graph's how many are even?
Negative slope
Square Root
A V
Absolute Value - Constant and Standard Quadratic

13. In an identity function if f(10)=x than What is y?
Y=10
Negative slope
Set the x and y to zero and get the intercepts and then plot the points
Same

14. What is the formula for the cube root function?
F(x) = x
Inconsitent
F(x)=3 square root x
F(x+c) and f(x-c)

15. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
M
45 degree angle
In a quotient

16. What is the formula for the standard cubic function?
Piecewise
Approach neg toward x through zero and above positive close to x
F(x)=x^3
Because the demintor of a quotient can never equal zero

17. Of the seven of algebra's common graph's how many are neither?
[0 -+infinity)
F(x)=3 square root x
Y=b
Square Root

18. x= a real number is what type of equation?
C>1 - horizontal shrinking
X = the original sale price and the formula is x - .40x =$276
Identity
Conditional

19. What is the point slope formula and when do you use it?
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
As many as you like

20. What are the calculator instructions for a standard quadratic equation?
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
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph
M

21. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x)=IxI
F(x) = x
Same
X = the original sale price and the formula is x - .40x =$276

22. How would this formula move f(x)=(x+1)^2-3
20+.05x=5+.10x x=minutes
Parabola - up one and right three
X=a
1 -2 -3

23. What is the range for the standard cubic function?
(-infinity - +infinity)
Identity
X^2
45 degree angle

24. What type of line is a constant function?
Negative slope
Horizontal
F(x+c) and f(x-c)
Change in y / change in x = rise / run = y2-y1 / x2-x1

25. 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
X=a
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

26. Which direction does f(x-c) move
Horizontal right
Horizontal
F(x)=x^3
45 degree angle

27. What is the letter used to represent slope?
(-infinity - +infinity)
Horizontal
(-infinity - +infinity)
M

28. Draw or discuss an increasing function
Square Root
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)

29. y=f(cx) What does this formula represent?
The first set of components of an ordered pair
The slope of a line containing two points
0<c<1 - horizontal stretching
45 degree angle

30. What type of slope do horizontal lines have?
(-infinity - +infinity)
Y=x^2 - graph
Horizontal right
Same

31. What type of line is a constant function?
Horizontal
Only one
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

32. What can never equal zero in the slope formula and why?
Identity
Piecewise
As equations
X2-x1 because the demonaitor of a quotient can never equal zero

33. What is the domain for the standard cubic function?
Horizontal left
(-infinity - +infinity)
Conditional
F(x)=IxI

34. What type of line is an identity function?
No because you cannot have one domain pointing at two y's or ranges
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking
45 degree angle

35. What does the square root function look like on a graph?
Y=x - identity function
F(x)=IxI
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

36. $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?
Horizontal
F(x^1)=f(x^2)
Inconsitent
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

37. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
X^2

38. What is the horizontal line formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=b
Up
X^2

39. What is the formula for the square root function?
F(x)=suare root of x
Because the demintor of a quotient can never equal zero
Identity
Conditional

40. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal

41. What are the calculator instructions for absolute value?
[0 -+infinity)
As equations
Square Root
2nd catalog (zero key -) abs(x) - graph

42. How do you calculate a constant function in your calculator?
Any set of ordered pairs
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero
Y= then enter the number then press graph

43. Draw or discuss a constant function
Change in y / change in x = rise / run = y2-y1 / x2-x1
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1

44. Is a standard quadratic function even - odd or neither?
F(x)=IxI
(-infinity - +infinity)
Even
(f+g) - (f-g) - (fg) - (f/g) all of x

45. What is the domain of a square root function?
[0 -+infinity)
1 -2 -3
F(x^1)=f(x^2)
Cannot be drawn in quizlet

46. $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)=+c and f(x)-c
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
Yes - all the domains points to one range
F(x+h)-f(x)/h h cannot equal zero

47. What is the vertical line formula?
F(x2)-f(x1) / x2-x1
F(x)=suare root of x
X=a
45 degree angle

48. What is the domain of a square root function?
The opposite coordinates
As many as you like
F(x) = x
[0 -+infinity)

49. What is the average rate of change formula?
Cannot be drawn in quizlet
The opposite coordinates
As many as you like
F(x2)-f(x1) / x2-x1

50. What is the point slope formula and when do you use it?
Parraelle line
Conditional
Down
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope