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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 are the calculator instructions for the cube root function?
Inconsistant
Math 4 x - graph
When does a graph not define y as a function of x?
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

2. Is the square root function odd - even or neither?
Neither
(-infinity - +infinity)
Square Root
No because you cannot have one domain pointing at two y's or ranges

3. When is the only time (-infinity - +infinity) is not the domain?
Cannot be drawn in quizlet
In a quotient
Negative slope
X math 3 graph

4. What is the formula for the cube root function?
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Even

5. What is the range of the constant 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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The single number y=
Any set of ordered pairs

6. 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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd
Identity

7. x= a real number is what type of equation?
Conditional
Math 4 x - graph
Zero slope
Math 4 x - graph

8. What is the formula for an identity function?
Absolute Value - Constant and Standard Quadratic
F(x) = x
Math 4 x - graph
Y=IxI

9. y=f(cx) What does this formula represent?
Piecewise
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Approach neg toward x through zero and above positive close to x

10. What is the point slope formula and when do you use it?
2nd catalog (zero key -) abs(x) - graph
F of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

11. What type of function would you use to calculate the most advantageous cell phone plan?
F(x) = x
Piecewise
Y= then enter the number then press graph
(-infinity - +infinity)

12. What are the calculator instructions for a square root function?
[0 -+infinity)
Even
2nd key - x^2 - graph
Horizontal

13. What does linear equation mean?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line
The opposite coordinates
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. What equation does every line have? Discuss the variables.
Y=IxI
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.
F(x)=+c and f(x)-c
(-infinity - +infinity)

15. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x) = x
The single number y=

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

17. What is the domain and range of a constant function?
Y= then enter the number then press graph
(-infinity - +infinity)
2nd key - x^2 - graph
Negative slope

18. What is the formula for slope?
Postiive slope
Negative inverse
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

19. What type of line is a constant function?
Odd
F(x)=suare root of x
Horizontal
F(x+c) and f(x-c)

20. What are the calculator instructions for absolute value?
The first set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
C>1 - horizontal shrinking
0<c<1 - horizontal stretching

21. What is a domain?
(-infinity - +infinity)
The first set of components of an ordered pair
C>1 - horizontal shrinking
F(x)=x^3

22. What type of line is a constant function?
Horizontal
Conditional
Because the demintor of a quotient can never equal zero
X math 3 graph

23. standard absolute value - horizontal shift formulas for left and right
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x+h)-f(x)/h h cannot equal zero
F(x+c) and f(x-c)
Change in y / change in x = rise / run = y2-y1 / x2-x1

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

25. y=f(cx) What does this formula represent?
When does a graph not define y as a function of x?
As many as you like
0<c<1 - horizontal stretching
[0 -+infinity)

26. What does the average rate of change formula solve?
A line passing through two distinct points
M
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points

27. What is the range of an identity function?
Approach neg toward x through zero and above positive close to x
0<c<1 - horizontal stretching
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

28. What type of slope do you have when a line rises from left to right and m>0?
As many as you like
(-infinity - +infinity)
Postiive slope
Equation of a line

29. What type of slope do you have when a line falls left to right and m<0?
Negative slope
C>1 - horizontal shrinking
Piecewise
Y=b

30. How do you calculate a constant function in your calculator?
Negative slope
Inconsistant
Piecewise
Y= then enter the number then press graph

31. What does the graph of the cube root function look like on the graph?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Conditional
[0 -+infinity)

32. What type of slope do you have when m=? and the line is vertical?
Approach neg toward x through zero and above positive close to x
Square Root
Up
Undefined slope

33. What are the calculator instructions for a standard quadratic equation?
F of g and g of f
Piecewise
Y=x^2 - graph
20+.05x=5+.10x x=minutes

34. What type of function would you use to calculate the most advantageous cell phone plan?
Y=IxI
Piecewise
(-infinity - +infinity)
F of g and g of f

35. What is the letter used to represent slope?
X^2
Any set of ordered pairs
M
F(x+h)-f(x)/h h cannot equal zero

36. What is the domain for the standard cubic 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
1 -2 -3
Even
(-infinity - +infinity)

37. What is the domain for an absolute value function?
As equations
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic

38. What does the absolute value function look like?
F(x^1)=f(x^2)
A V
The secant line
X is the hours to repair the boat. $1603-532=anwser/63 = x

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

40. What is the domain for the standard cubic function?
X is the hours to repair the boat. $1603-532=anwser/63 = 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.
(-infinity - +infinity)
X math 3 graph

41. What type of slope do horizontal lines have?
Neither
X2-x1 because the demonaitor of a quotient can never equal zero
Same
Perpendicular line

42. Of the seven of algebra's common graph's how many are even?
Horizontal
Absolute Value - Constant and Standard Quadratic
Yes because two x's or domains can point to one y
Math 4 x - graph

43. What does the standard cubic function look like on a graph?
M
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

44. What is the slope of a perpendicular line?
The first set of components of an ordered pair
[0 -+infinity)
Negative inverse
Equation of a line

45. f(x) = x^2+3x+5 - what type of formula is this?
0<c<1 - horizontal stretching
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As many as you like

46. How many domains can you have pointing to one range?
F(x)=suare root of x
As many as you like
Y
M

47. What are the calculator instructions for absolute value?
(-infinity - +infinity)
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet

48. How many domains can you have pointing to one range?
The single number y=
As many as you like
Yes because two x's or domains can point to one y
(-infinity - +infinity)

49. A flat line underlining one vertical line is a symbol for...
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
Perpendicular line
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x

50. x=all real numbers is what type of an equation?
Down
The second set of components of an ordered pair
Conditional
Identity