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

2. f(x) = x^2+3x+5 - what type of formula is this?
45 degree angle
F(x)=3 square root x
Function notation
2nd catalog (zero key -) abs(x) - graph

3. What is the domain and range of a constant function?
Odd
Y=IxI
Parabola - up one and right three
(-infinity - +infinity)

4. What type of line is a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
Horizontal
F(x+h)-f(x)/h h cannot equal zero

5. What type of slope do vertical lines have?
2nd key - x^2 - graph
Line ascending to the right gradually
Undefined
20+.05x=5+.10x x=minutes

6. What does the square root function look like on a graph?
Odd
Horizontal left
Line ascending to the right gradually
Y=10

7. Is an absolute value function even - odd or neither?
F(x)=IxI
The secant line
Up
Even

8. 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
Y=10
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.
Piecewise

9. What is the domain for an absolute value 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.
F(x)=suare root of x
Cannot be drawn in quizlet
(-infinity - +infinity)

10. Why can h not equal zero in the difference of a quotient function formula?
F(x)=IxI
Because the demintor of a quotient can never equal zero
Even
Cannot be drawn in quizlet

11. What is an identity 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.
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
45 degree angle

12. How do you calculate a constant function in your calculator?
Three odd - cube root - identity - standard cubic
0<c<1 - horizontal stretching
Up
Y= then enter the number then press graph

13. What are two examples of composit functions?
A V
Postiive slope
F of g and g of f
Y= then enter the number then press graph

14. What is the point slope formula and when do you use it?
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points
F(x2)-f(x1) / x2-x1

15. What is another way to write f(x)=x - what type of function is this?
X^2
Square Root
Y=x - identity function
(-infinity - +infinity)

16. What can we substitute for f(x)?
Y
In a quotient
Horizontal left
M

17. y=f(cx) What does this formula represent?
F(x)=x^3
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
Y=10

18. What is the formula for an identity function?
(-infinity - +infinity)
Y=b
F(x) = x
Line ascending to the right gradually

19. What is the range of the cube root function?
(-infinity - +infinity)
[0 -+infinity)
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x

20. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
In a quotient
(-infinity - +infinity)

21. What is the domain for a standard quadratic function?
1 -2 -3
Any set of ordered pairs
Square Root
(-infinity - +infinity)

22. What are the calculator instructions for the standard cubic function?
X math 3 graph
1 -2 -3
The slope of a line containing two points
Zero slope

23. How many domains can you have pointing to one range?
Horizontal
Y
A V
As many as you like

24. What does the absolute value function look like?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)
A V

25. How do you graph Ax+By+C=0?
Even
Yes - all the domains points to one range
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points

26. What is the formula for the square root function?
Any set of ordered pairs
F(x)=suare root of x
Conditional
Approach neg toward x through zero and above positive close to x

27. How do you calculate a constant function in your calculator?
In a quotient
Inconsitent
Y= then enter the number then press graph
Even

28. standard absolute value - horizontal shift formulas for left and right
Y=x - identity function
F(x) = x
F(x+c) and f(x-c)
Even

29. 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
The slope of a line containing two points
The first set of components of an ordered pair

30. What type of slope do you have when m=? and the line is vertical?
Horizontal
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.
Inconsistant
Undefined slope

31. 4(x-7)=4x+28 is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph
In a quotient
Inconsitent

32. What is the formula for the standard cubic function?
F(x)=x^3
X^2
No because you cannot have one domain pointing at two y's or ranges
Odd

33. What points do you use to plot the inverse on a graph?
45 degree angle
The opposite coordinates
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x

34. What are the steps for solving a word problem?
(-infinity - 0]you[0 - +infinity)
Horizontal
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
Horizontal

35. How are functions normally written?
As equations
The single number y=
Line ascending to the right gradually
Yes - all the domains points to one range

36. What is the point slope formula and when do you use it?
45 degree angle
F(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Odd

37. What is the letter used to represent slope?
The second set of components of an ordered pair
M
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=x^3

38. How many ranges can you have for each domain?
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.
Only one
X^2
M

39. What are the calculator instructions for a standard quadratic equation?
Parraelle line
Y=x^2 - graph
Identity
Set the x and y to zero and get the intercepts and then plot the points

40. What direction does f(x)-c move in standard absolute value formula?
Down
45 degree angle
Even
F(x)=suare root of x

41. When is the only time (-infinity - +infinity) is not the domain?
As equations
Inconsitent
In a quotient
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

42. What is the formula for the cube root function?
A line passing through two distinct points
Parabola
F(x)=3 square root x
Y=x - identity function

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

44. What equation does every line have? Discuss the variables.
Cannot be drawn in quizlet
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.
(-infinity - +infinity)
(-infinity - +infinity)

45. What type of slope do you have when m=? and the line is vertical?
Up
Negative slope
Inconsitent
Undefined slope

46. What is the slope intercept formula? Define all the variables.
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
Y=x^2 - graph
20+.05x=5+.10x x=minutes

47. standard absolute value - vertical shift formulas for positve and negative
Identity
Horizontal right
F(x)=+c and f(x)-c
(-infinity - +infinity)

48. What is the formula for slope?
Identity
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=+c and f(x)-c

49. Is the square root function odd - even or neither?
Horizontal left
Neither
Y= then enter the number then press graph
F(x)=suare root of x

50. In an identity function if f(10)=x than What is y?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=10
Y=x - identity function
Piecewise