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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 type of slope do you have when the line is horizontal and m=0?
Zero slope
F(x^1)=f(x^2)
Y=b
Y= then enter the number then press graph

2. 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
Negative slope
Horizontal
(-infinity - +infinity)

3. x=all real numbers is what type of an equation?
F(x)=+c and f(x)-c
Identity
Piecewise
Y= then enter the number then press graph

4. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of 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.

5. What is the domain of a square root 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.
Horizontal
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)

6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
The slope of a line containing two points
20+.05x=5+.10x x=minutes

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

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8. What is the formula for an absolute value function?
F(x)=IxI
Because the demintor of a quotient can never equal zero
Identity
Neither

9. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

10. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Inconsitent
The opposite coordinates

11. Is a standard quadratic function even - odd or neither?
Parabola - up one and right three
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
Even
20+.05x=5+.10x x=minutes

12. What are the calculator instructions for absolute value?
F(x)=suare root of x
F(x)=3 square root x
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph

13. What is slope?
X2-x1 because the demonaitor of a quotient can never equal zero
A line passing through two distinct points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

14. 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?
X^2
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
X is the hours to repair the boat. $1603-532=anwser/63 = x
In a quotient

15. What is the domain of the cube root function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
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.
1 -2 -3

16. What does the average rate of change formula solve?
The slope of a line containing two points
Postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

17. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Square Root
Math 4 x - graph
(-infinity - +infinity)

18. How many ranges can you have for each domain?
Only one
As many as you like
(-infinity - +infinity)
The first set of components of an ordered pair

19. Which direction does f(x-c) move
Conditional
Undefined
Horizontal right
The minimum or maximum points

20. What type of line is a constant function?
X=a
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
Horizontal
Any set of ordered pairs

21. Draw or discuss a constant function
Cannot be drawn in quizlet
Conditional
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

22. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
Y=x - identity function
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

23. How many domains can you have pointing to one range?
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
As many as you like
F(x+h)-f(x)/h h cannot equal zero

24. Which direction does f(x)=+c move in standard absolute value formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Up
Even
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.

25. Is the square root function odd - even or neither?
(-infinity - +infinity)
Cannot be drawn in quizlet
Neither
(-infinity - +infinity)

26. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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.
4 -6 -9
Parabola - up one and right three
F(x^1)=f(x^2)

27. x= a real number is what type of equation?
Cannot be drawn in quizlet
F(x)=suare root of x
Conditional
1 -2 -3

28. What are the algebra of functions?
Piecewise
Horizontal right
2nd catalog (zero key -) abs(x) - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

29. What type of function would you use to calculate the most advantageous cell phone plan?
Negative slope
Piecewise
(-infinity - +infinity)
Odd

30. What is the domain and range of a constant function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
F(x)=3 square root x
Any set of ordered pairs

31. How would this formula move f(x)=(x+1)^2-3
Conditional
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Parabola - up one and right three

32. What direction does f(x)-c move in standard absolute value formula?
Down
Y=x^2 - graph
Yes - all the domains points to one range
Conditional

33. What is the formula for the standard cubic function?
F(x)=x^3
Parabola
(-infinity - +infinity)
F(x)=IxI

34. $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?
Any set of ordered pairs
Inconsistant
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 because two x's or domains can point to one y

35. What are the calculator instructions for the standard cubic function?
X math 3 graph
Odd
X^2
(-infinity - +infinity)

36. What is the vertex?
Even
The minimum or maximum points
Y=IxI
(-infinity - 0]you[0 - +infinity)

37. What points do you use to plot the inverse on a graph?
Yes - all the domains points to one range
The opposite coordinates
Y= then enter the number then press graph
F of g and g of f

38. What is an identity function?
C>1 - horizontal shrinking
45 degree angle
The opposite coordinates
Perpendicular line

39. What are two examples of composit functions?
F(x)=x^3
Negative inverse
X2-x1 because the demonaitor of a quotient can never equal zero
F of g and g of f

40. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Piecewise
Y=10
Y=b

41. What is the formula for the cube root function?
Parabola - up one and right three
Square Root
F(x)=3 square root x
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.

42. What are the four steps for finding the inverse of a function?
Yes - all the domains points to one range
1 -2 -3
Down
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

43. In an identity function if f(10)=x than What is y?
Up
F of g and g of f
Y=10
Undefined

44. What points do you use to plot the inverse on a graph?
Y=b
Identity
F(x+c) and f(x-c)
The opposite coordinates

45. 4(x-7)=4x+28 is what type of an equation?
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph
Square Root
Inconsitent

46. Which direction does f(x+c) move
Odd
Identity
Horizontal left
Postiive slope

47. Is a standard quadratic function even - odd or neither?
Parabola
The first set of components of an ordered pair
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even

48. Which direction does f(x-c) move
Up
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.
Horizontal right
Parabola - up one and right three

49. When is the only time (-infinity - +infinity) is not the domain?
As many as you like
Math 4 x - graph
In a quotient
(-infinity - +infinity)

50. What is the range of the cube root function?
Down
[0 -+infinity)
(-infinity - +infinity)
Perpendicular line

Can you answer 50 questions in 15 minutes?

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College Algebra Test

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