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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. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
1 -2 -3
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parabola - up one and right three

2. What type of line is a constant function?
Horizontal
M
The first set of components of an ordered pair
45 degree angle

3. How many domains can you have pointing to one range?
As many as you like
X2-x1 because the demonaitor of a quotient can never equal zero
Even
0<c<1 - horizontal stretching

4. What is the range of the cube root function?
Negative inverse
F(x)=+c and f(x)-c
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

5. What equation does every line have? Discuss the variables.
Horizontal
Same
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.
Parabola - up one and right three

6. Draw or discuss an increasing function
Math 4 x - graph
Same
The first set of components of an ordered pair
Cannot be drawn in quizlet

7. What does linear equation mean?
Equation of a line
As equations
Parabola - up one and right three
The secant line

8. What type of slope do you have when m=? and the line is vertical?
2nd catalog (zero key -) abs(x) - graph
Undefined slope
When does a graph not define y as a function of x?
F(x)=x^3

9. Is a standard quadratic function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
The second set of components of an ordered pair

10. Is the standard cubic function odd - even or neither?
Negative slope
Even
Three odd - cube root - identity - standard cubic
Odd

11. What are the calculator instructions for the standard cubic function?
Undefined slope
2nd catalog (zero key -) abs(x) - graph
X math 3 graph
Yes because two x's or domains can point to one y

12. How do you graph Ax+By+C=0?
Negative inverse
X2-x1 because the demonaitor of a quotient can never equal zero
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.
Set the x and y to zero and get the intercepts and then plot the points

13. How do you calculate a constant function in your calculator?
Neither
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y= then enter the number then press graph
Inconsistant

14. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
Same
Mirror image neg quadrant to that of the positive quandrant
F(x)=3 square root x

15. Which direction does f(x)=+c move in standard absolute value formula?
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
Up
Conditional
Postiive slope

16. What is the formula for the cube root function?
Neither
F(x^1)=f(x^2)
F(x)=3 square root x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

17. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Horizontal right
Because the demintor of a quotient can never equal zero
X=a

18. When is the only time (-infinity - +infinity) is not the domain?
As equations
In a quotient
Conditional
Horizontal left

19. How many domains can you have pointing to one range?
F(x2)-f(x1) / x2-x1
A V
Undefined slope
As many as you like

20. What type of slope do horizontal lines have?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
When does a graph not define y as a function of x?
Same

21. y=f(cx) What does this formula represent?
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
0<c<1 - horizontal stretching
M

22. What type of line is an identity function?
Negative inverse
F(x+c) and f(x-c)
45 degree angle
0<c<1 - horizontal stretching

23. Of the seven of algebra's common graph's how many are odd?
The opposite coordinates
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Three odd - cube root - identity - standard cubic

24. Which direction does f(x-c) move
The slope of a line containing two points
Horizontal left
Yes because two x's or domains can point to one y
Horizontal right

25. Draw or discuss a constant function
Square Root
(-infinity - +infinity)
Cannot be drawn in quizlet
(-infinity - +infinity)

26. What is the formula for the standard cubic function?
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)=x^3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet

27. How are functions normally written?
Cannot be drawn in quizlet
2nd key - x^2 - graph
As equations
Inconsitent

28. What is the vertical line formula?
Identity
X=a
X math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

29. What is a domain?
F(x^1)=f(x^2)
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero
Odd

30. x=all real numbers is what type of an equation?
Identity
X^2
As many as you like
Y=x^2 - graph

31. What is the domain for the standard cubic function?
F(x) = x
(-infinity - +infinity)
Identity
C>1 - horizontal shrinking

32. What is a relation?
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient

33. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Parabola - up one and right three
Y=b
Cannot be drawn in quizlet

34. x=no real numbers is what type of an equation?
0<c<1 - horizontal stretching
Inconsistant
Yes - all the domains points to one range
F(x)=+c and f(x)-c

35. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Identity
[0 -+infinity)

36. What is the slope of a perpendicular line?
X math 3 graph
F(x)=3 square root x
Conditional
Negative inverse

37. What type of slope do vertical lines have?
Undefined
Only one
Identity
(-infinity - +infinity)

38. What is the range for the standard cubic function?
Neither
The second set of components of an ordered pair
Piecewise
(-infinity - +infinity)

39. What is the formula for the standard cubic function?
Function notation
X math 3 graph
Y= then enter the number then press graph
F(x)=x^3

40. What are the calculator instructions for the cube root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x
The first set of components of an ordered pair
Math 4 x - graph

41. What is another way of writing the absolute value function?
Three odd - cube root - identity - standard cubic
Y=IxI
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. What can never equal zero in the slope formula and why?
Absolute Value - Constant and Standard Quadratic
Up
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

43. What is the range for a standard quadratic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Y=x - identity function
(-infinity - 0]you[0 - +infinity)

44. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
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
2nd key - x^2 - graph
Yes because two x's or domains can point to one y

45. What type of line is a constant function?
Three odd - cube root - identity - standard cubic
Horizontal
Y
Odd

46. What does the average rate of change formula solve?
(-infinity - +infinity)
The slope of a line containing two points
The single number y=
Parabola - up one and right three

47. What are the four steps for solving a linear equation?
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.
Parabola - up one and right three
Horizontal
Function notation

48. 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?
Y= then enter the number then press graph
X math 3 graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal

49. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

50. What are the calculator instructions for the cube root function?
Math 4 x - graph
Inconsistant
Y=10
Negative slope