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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 a function?
Y=b
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsitent

2. Is a constant function even - odd or neither?
Even
Piecewise
X math 3 graph
F(x) = x

3. What is the average rate of change formula?
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

4. What is the range of the constant 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
No because you cannot have one domain pointing at two y's or ranges
The single number y=
1 -2 -3

5. What is the formula for the cube root function?
F of g and g of f
Y=10
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=3 square root x

6. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
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.

7. What does the absolute value function look like?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates
Identity
A V

8. Which direction does f(x+c) move
Horizontal left
Function notation
Undefined slope
The second set of components of an ordered pair

9. What type of line is a constant function?
Cannot be drawn in quizlet
Conditional
Horizontal
Inconsitent

10. What is the formula in both horizontal stretching and horizontal shrinking?
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.
Y
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity

11. 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
Horizontal
(-infinity - +infinity)
(-infinity - +infinity)

12. What is the range of the cube root function?
1 -2 -3
Negative inverse
(-infinity - +infinity)
Conditional

13. What is the range for a standard quadratic function?
Undefined
(-infinity - 0]you[0 - +infinity)
Identity
No because you cannot have one domain pointing at two y's or ranges

14. What is the range of an identity function?
Even
The second set of components of an ordered pair
(-infinity - +infinity)
Horizontal

15. What type of line is an identity function?
Yes because two x's or domains can point to one y
45 degree angle
F(x)=x^3
Cannot be drawn in quizlet

16. What is another way of writing the absolute value function?
Y=IxI
As many as you like
2nd key - x^2 - graph
X^2

17. What are the algebra of functions?
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+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)
A line passing through two distinct points

18. What is another way of writing the absolute value function?
Undefined
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
Y=IxI
Zero slope

19. What is the formula for slope?
The opposite coordinates
Parabola
F(x^1)=f(x^2)
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. What is the vertical line test?
When does a graph not define y as a function of x?
Math 4 x - graph
Approach neg toward x through zero and above positive close to x
Inconsistant

21. 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?
0<c<1 - horizontal stretching
Negative inverse
X is the hours to repair the boat. $1603-532=anwser/63 = x
The single number y=

22. Of the seven of algebra's common graph's how many are even?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic

23. What are the calculator instructions for the standard cubic function?
X math 3 graph
The second set of components of an ordered pair
C>1 - horizontal shrinking
0<c<1 - horizontal stretching

24. What is the domain for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=IxI
Line ascending to the right gradually
(-infinity - +infinity)

25. What is a constant function?
Line ascending to the right gradually
X=a
Because the demintor of a quotient can never equal zero
F(x^1)=f(x^2)

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

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27. What is the slope of a perpendicular line?
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
Negative inverse
Only one
Even

28. What does the graph of the cube root function look like on the graph?
F(x+h)-f(x)/h h cannot equal zero
2nd key - x^2 - graph
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x

29. What is the formula for an identity function?
(-infinity - +infinity)
F(x) = x
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x

30. What is the formula for an absolute value function?
F(x)=IxI
(-infinity - +infinity)
The minimum or maximum points
X2-x1 because the demonaitor of a quotient can never equal zero

31. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
Even
F of g and g of f
In a quotient

32. What is a relation?
Mirror image neg quadrant to that of the positive quandrant
The single number y=
Equation of a line
Any set of ordered pairs

33. 4x+5x=8x is what type of an equation?
When does a graph not define y as a function of x?
Yes - all the domains points to one range
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

34. Is an absolute value function even - odd or neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=IxI
Y=b
Even

35. What are the calculator instructions for the cube root function?
Math 4 x - graph
Approach neg toward x through zero and above positive close to x
F(x)=3 square root x
Odd

36. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
As many as you like
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
20+.05x=5+.10x x=minutes
Absolute Value - Constant and Standard Quadratic

37. What is the standard quadratic function?
X^2
Cannot be drawn in quizlet
F(x)=3 square root x
(-infinity - +infinity)

38. What is the range for an absolute value function?
X=a
Y
Undefined slope
(-infinity - 0]you[0 - +infinity)

39. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
As equations
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

40. Which direction does f(x)=+c move in standard absolute value formula?
Same
Up
(-infinity - +infinity)
Horizontal

41. Of the seven of algebra's common graph's how many are neither?
Y=b
Yes - all the domains points to one range
Only one
Square Root

42. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI

43. Is an absolute value function even - odd or neither?
Even
F(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x

44. A flat line underlining one vertical line is a symbol for...
Perpendicular line
F(x2)-f(x1) / x2-x1
Identity
4 -6 -9

45. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
20+.05x=5+.10x x=minutes
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

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?
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
C>1 - horizontal shrinking
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

47. What is a range?
The second set of components of an ordered pair
Parabola - up one and right three
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x

48. What is the formula for the standard cubic function?
F(x)=x^3
Yes - all the domains points to one range
Inconsitent
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

49. How do you graph Ax+By+C=0?
In a quotient
Conditional
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points

50. What are two examples of composit functions?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F of g and g of f
Inconsistant