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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 horizontal line formula?
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.
Y=10
In a quotient
Y=b

2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x
1 -2 -3

3. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Conditional
(-infinity - +infinity)

4. What is the range of the constant 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
The single number y=
1 -2 -3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

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

6. What type of slope do you have when m=? and the line is vertical?
Perpendicular line
Parabola - up one and right three
Undefined slope
F(x+c) and f(x-c)

7. What are the calculator instructions for the cube root function?
Mirror image neg quadrant to that of the positive quandrant
X is the hours to repair the boat. $1603-532=anwser/63 = x
Math 4 x - graph
Parabola

8. What are the calculator instructions for a square root function?
The first set of components of an ordered pair
2nd key - x^2 - graph
Up
(-infinity - +infinity)

9. What type of slope do vertical lines have?
Undefined
Parraelle line
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

10. What type of slope do you have when a line rises from left to right and m>0?
45 degree angle
Postiive slope
The opposite coordinates
As equations

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

12. x=no real numbers is what type of an equation?
C>1 - horizontal shrinking
In a quotient
Inconsistant
Horizontal

13. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
Y=b
Three odd - cube root - identity - standard cubic
In a quotient

14. Is a standard quadratic function even - odd or neither?
Postiive slope
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
4 -6 -9

15. What is the vertex?
The minimum or maximum points
F(x) = x
(-infinity - +infinity)
Parabola - up one and right three

16. Draw or discuss a constant function
F(x)=x^3
Line ascending to the right gradually
Cannot be drawn in quizlet
F(x)=+c and f(x)-c

17. What is a relation?
When does a graph not define y as a function of x?
Any set of ordered pairs
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
45 degree angle

18. 4x+5x=8x is what type of an equation?
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y= then enter the number then press graph
Cannot be drawn in quizlet

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

20. What is the point slope formula and when do you use it?
F(x)=suare root of x
Conditional
The opposite coordinates
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

21. Of the seven of algebra's common graph's how many are odd?
Horizontal
No because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic
F of g and g of f

22. What does linear equation mean?
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
Equation of a line
(-infinity - +infinity)

23. What is an identity function?
45 degree angle
Same
The first set of components of an ordered pair
[0 -+infinity)

24. What is the domain of an identity function?
(-infinity - +infinity)
Undefined slope
Cannot be drawn in quizlet
The single number y=

25. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
As many as you like
Even
X^2

26. What is the range for a standard quadratic function?
X math 3 graph
Zero slope
Conditional
(-infinity - 0]you[0 - +infinity)

27. Which direction does f(x-c) move
Horizontal right
The slope of a line containing two points
Parraelle line
Horizontal left

28. What type of slope do you have when a line falls left to right and m<0?
Horizontal right
Parabola
Horizontal
Negative slope

29. Is the square root function odd - even or neither?
F(x2)-f(x1) / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Neither
Down

30. What does the standard cubic function look like on a graph?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
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
Mirror image neg quadrant to that of the positive quandrant

31. What is an identity function?
The minimum or maximum points
The secant line
2nd catalog (zero key -) abs(x) - graph
45 degree angle

32. What is the range for the standard cubic function?
Function notation
Any set of ordered pairs
(-infinity - +infinity)
Y= then enter the number then press graph

33. What type of line is an identity function?
Y=x^2 - graph
Because the demintor of a quotient can never equal zero
45 degree angle
F(x2)-f(x1) / x2-x1

34. What type of line is an identity function?
Negative slope
45 degree angle
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.
A line passing through two distinct points

35. y=f(cx) - What does this formula represent?
Square Root
Parabola - up one and right three
Line ascending to the right gradually
C>1 - horizontal shrinking

36. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
F of g and g of f
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
In a quotient

37. What are the algebra of functions?
As many as you like
In a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

38. What is the line called that illustrates the straight line between the two points when showing average rate of change?
As equations
Perpendicular line
Because the demintor of a quotient can never equal zero
The secant line

39. f(x) = x^2+3x+5 - what type of formula is this?
Set the x and y to zero and get the intercepts and then plot the points
Function notation
Cannot be drawn in quizlet
[0 -+infinity)

40. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Math 4 x - graph
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph

41. What can we substitute for f(x)?
Postiive slope
Y
Approach neg toward x through zero and above positive close to x
Yes because two x's or domains can point to one y

42. Draw or discuss an increasing function
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
In a quotient
Math 4 x - graph

43. What is the range for a standard quadratic function?
The second set of components of an ordered pair
[0 -+infinity)
Perpendicular line
(-infinity - 0]you[0 - +infinity)

44. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Inconsitent

45. What are the four steps for solving a linear equation?
F(x)=3 square root x
F(x)=suare root of x
Inconsistant
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.

46. What is the formula for an identity function?
Even
X math 3 graph
(-infinity - +infinity)
F(x) = x

47. What are the calculator instructions for the standard cubic function?
Undefined
X math 3 graph
Negative inverse
The single number y=

48. What type of slope do you have when the line is horizontal and m=0?
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant
Parabola - up one and right three
Zero slope

49. 4x+5x=8x is what type of an equation?
Postiive slope
Y=b
Conditional
F(x)=IxI

50. What is the domain of a square root function?
X^2
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
Undefined slope