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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 a square root function?
2nd key - x^2 - graph
F(x)=+c and f(x)-c
As many as you like
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.

2. standard absolute value - horizontal shift formulas for left and right
C>1 - horizontal shrinking
The opposite coordinates
F(x+c) and f(x-c)
As equations

3. What is another way of writing the absolute value function?
Conditional
The single number y=
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.

4. What is the formula for an identity function?
Inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x
Horizontal right

5. What is the letter used to represent slope?
Negative inverse
4 -6 -9
20+.05x=5+.10x x=minutes
M

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

7. What is the range of the cube root function?
Same
F(x+c) and f(x-c)
(-infinity - +infinity)
Negative inverse

8. Draw or discuss an increasing function
Cannot be drawn in quizlet
Down
Piecewise
F(x) = x

9. $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?
Neither
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 slope of a line containing two points
45 degree angle

10. What type of slope do you have when the line is horizontal and m=0?
A line passing through two distinct points
Even
Zero slope
[0 -+infinity)

11. What is the range of the cube root function?
(-infinity - +infinity)
Even
Function notation
No because you cannot have one domain pointing at two y's or ranges

12. What is the average rate of change formula?
1 -2 -3
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x2)-f(x1) / x2-x1

13. What does the standard cubic function look like on a graph?
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
Horizontal
Conditional

14. What is a relation?
Any set of ordered pairs
1 -2 -3
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.
1 -2 -3

15. When is the only time (-infinity - +infinity) is not the domain?
As equations
Perpendicular line
Odd
In a quotient

16. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
Y=b
As many as you like

17. What is the slope intercept formula? Define all the variables.
F(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Set the x and y to zero and get the intercepts and then plot the points

18. What type of slope do vertical lines have?
Horizontal left
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined
Inconsitent

19. What is a function?
Even
45 degree angle
No because you cannot have one domain pointing at two y's or ranges
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

20. What are two examples of composit functions?
The single number y=
F of g and g of f
(-infinity - +infinity)
(-infinity - +infinity)

21. What type of slope do you have when m=? and the line is vertical?
Horizontal left
Undefined slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs

22. Which direction does f(x)=+c move in standard absolute value formula?
The second set of components of an ordered pair
X=a
Cannot be drawn in quizlet
Up

23. What is a domain?
The first set of components of an ordered pair
Perpendicular line
X=a
F(x) = x

24. What are the calculator instructions for absolute value?
0<c<1 - horizontal stretching
Y= then enter the number then press graph
2nd catalog (zero key -) abs(x) - graph
F(x+c) and f(x-c)

25. What type of line is a constant function?
Horizontal
Yes because two x's or domains can point to one y
Any set of ordered pairs
Y= then enter the number then press graph

26. What is a domain?
Yes because two x's or domains can point to one y
The first set of components of an ordered pair
When does a graph not define y as a function of x?
2nd catalog (zero key -) abs(x) - graph

27. 4(x-7)=4x-28 is what type of an equation?
4 -6 -9
Parraelle line
Identity
The opposite coordinates

28. What are two examples of composit functions?
F of g and g of f
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
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet

29. What is the range of an identity function?
F(x)=+c and f(x)-c
Undefined slope
C>1 - horizontal shrinking
(-infinity - +infinity)

30. Two vertical lines side by side are a symbol for what
As equations
Parraelle line
Parabola
Only one

31. What is a relation?
(-infinity - 0]you[0 - +infinity)
Absolute Value - Constant and Standard Quadratic
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
Any set of ordered pairs

32. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Parabola - up one and right three
Any set of ordered pairs
Parabola - up one and right three

33. What is the formula for to calculate the difference of a quotient function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
C>1 - horizontal shrinking
C>1 - horizontal shrinking
F(x+h)-f(x)/h h cannot equal zero

34. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=b
F(x+h)-f(x)/h h cannot equal zero
The slope of a line containing two points

35. What does the absolute value function look like?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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 is the hours to repair the boat. $1603-532=anwser/63 = x
A V

36. What is the range of the constant function?
Y= then enter the number then press graph
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=
X=a

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
When does a graph not define y as a function of x?
Three odd - cube root - identity - standard cubic
F(x^1)=f(x^2)

38. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=IxI
No because you cannot have one domain pointing at two y's or ranges
Even

39. $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 first set of components of an ordered pair
(-infinity - +infinity)
45 degree angle
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

40. Why can h not equal zero in the difference of a quotient function formula?
Perpendicular line
Down
Because the demintor of a quotient can never equal zero
Zero slope

41. What is the range for an absolute value function?
45 degree angle
(-infinity - +infinity)
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)

42. 4x+5x=8x is what type of an equation?
Conditional
20+.05x=5+.10x x=minutes
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points

43. What is the range for a standard quadratic function?
X2-x1 because the demonaitor of a quotient can never equal zero
Identity
Identity
(-infinity - 0]you[0 - +infinity)

44. What are the four steps for solving a linear equation?
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.
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic

45. 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
Yes because two x's or domains can point to one y
As equations
X^2

46. What is the range of a square root function?
Undefined
Three odd - cube root - identity - standard cubic
The first set of components of an ordered pair
[0 -+infinity)

47. What are the calculator instructions for the standard cubic function?
X math 3 graph
Horizontal
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1

48. What is a range?
The second set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
X = the original sale price and the formula is x - .40x =$276

49. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Neither
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.
X^2

50. What type of slope do horizontal lines have?
Same
Horizontal
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)