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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 is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
The second set of components of an ordered pair

2. What is another way to write f(x)=x - what type of function is this?
Postiive slope
45 degree angle
Y=x - identity function
Same

3. y=f(cx) What does this formula represent?
Horizontal
0<c<1 - horizontal stretching
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

4. Which direction does f(x+c) move
F(x2)-f(x1) / x2-x1
Inconsitent
Horizontal left
Cannot be drawn in quizlet

5. 4x+5x=8x is what type of an equation?
(-infinity - 0]you[0 - +infinity)
Identity
Conditional
4 -6 -9

6. How many ranges can you have for each domain?
Mirror image neg quadrant to that of the positive quandrant
Square Root
(-infinity - +infinity)
Only one

7. What points do you use to plot the inverse on a graph?
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
F(x+c) and f(x-c)
The opposite coordinates

8. What is the domain and range of a constant function?
Same
(-infinity - +infinity)
Identity
Yes because two x's or domains can point to one y

9. What type of line is a constant function?
Even
Horizontal
The opposite coordinates
Only one

10. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X = the original sale price and the formula is x - .40x =$276
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.
X=a

11. What is a range?
The second set of components of an ordered pair
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

12. What type of line is a constant function?
(-infinity - 0]you[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal
2nd catalog (zero key -) abs(x) - graph

13. x=no real numbers is what type of an equation?
Odd
F(x)=suare root of x
45 degree angle
Inconsistant

14. What does the average rate of change formula solve?
X = the original sale price and the formula is x - .40x =$276
Negative slope
Postiive slope
The slope of a line containing two points

15. $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?
The minimum or maximum points
Any set of ordered pairs
Y=x^2 - graph
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

16. What is the formula for to calculate the difference of a quotient function?
45 degree angle
The secant line
X=a
F(x+h)-f(x)/h h cannot equal zero

17. When is the only time (-infinity - +infinity) is not the domain?
0<c<1 - horizontal stretching
In a quotient
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c

18. What is the formula for the cube root function?
[0 -+infinity)
[0 -+infinity)
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

19. What is the vertex?
Yes because two x's or domains can point to one y
The minimum or maximum points
The slope of a line containing two points
Down

20. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
1 -2 -3
Odd
Same

21. What is the formula in both horizontal stretching and horizontal shrinking?
4 -6 -9
F(x+h)-f(x)/h h cannot equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

22. Draw or discuss a decreasing 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.
Undefined
Cannot be drawn in quizlet
Function notation

23. What is the vertical line formula?
Negative inverse
2nd key - x^2 - graph
X=a
Horizontal left

24. What is the range for the standard cubic function?
Up
(-infinity - +infinity)
Any set of ordered pairs
Inconsitent

25. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Even

26. What is an identity function?
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates
F(x)=3 square root x

27. What is the vertical line formula?
X=a
Same
1 -2 -3
Same

28. x=no real numbers is what type of an equation?
Inconsistant
Yes because two x's or domains can point to one y
F(x) = x
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.

29. What does the average rate of change formula solve?
(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
Parraelle line
Undefined slope

30. What type of line is a constant function?
Horizontal
Negative slope
No because you cannot have one domain pointing at two y's or ranges
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

31. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y=10
Y=b
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

32. What is the standard quadratic 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
X^2
Even
F(x) = x

33. Draw or discuss a decreasing function
Parabola
The first set of components of an ordered pair
Cannot be drawn in quizlet
Piecewise

34. What is the domain for a standard quadratic function?
A line passing through two distinct points
(-infinity - +infinity)
Equation of a line
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.

35. What is the range for an absolute value function?
Y=x^2 - graph
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
Y=IxI

36. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x

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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Zero slope
Horizontal

38. What is the formula for the standard cubic function?
1 -2 -3
(-infinity - 0]you[0 - +infinity)
Function notation
F(x)=x^3

39. What is the formula for the standard cubic function?
[0 -+infinity)
F(x)=x^3
4 -6 -9
Approach neg toward x through zero and above positive close to x

40. 4x+5x=8x is what type of an equation?
Conditional
Horizontal
F(x)=+c and f(x)-c
Y=x^2 - graph

41. What are the calculator instructions for the cube root function?
In a quotient
Math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+c) and f(x-c)

42. 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.
Even
Undefined
Neither

43. What can we substitute for f(x)?
Conditional
Y
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet

44. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
When does a graph not define y as a function of x?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
The secant line

45. What type of slope do you have when m=? and the line is vertical?
Horizontal
Undefined slope
F(x) = x
F(x)=+c and f(x)-c

46. x=all real numbers is what type of an equation?
Identity
Perpendicular line
Yes - all the domains points to one range
When does a graph not define y as a function of x?

47. Is a standard quadratic function even - odd or neither?
Even
In a quotient
Horizontal left
[0 -+infinity)

48. What is a range?
Parabola - up one and right three
The second set of components of an ordered pair
The single number y=
Three odd - cube root - identity - standard cubic

49. What type of slope do you have when a line rises from left to right and m>0?
Piecewise
(-infinity - +infinity)
Undefined
Postiive slope

50. What is a relation?
Any set of ordered pairs
The minimum or maximum points
F(x)=+c and f(x)-c
Undefined