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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. standard absolute value - vertical shift formulas for positve and negative
F(x2)-f(x1) / x2-x1
The slope of a line containing two points
F(x)=+c and f(x)-c
Conditional

2. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
When does a graph not define y as a function of x?
F(x)=+c and f(x)-c
Set the x and y to zero and get the intercepts and then plot the points

3. How many ranges can you have for each domain?
Negative inverse
Undefined
Odd
Only one

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

5. What is the domain of the cube root function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
Negative inverse
Piecewise

6. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Postiive slope
Horizontal
Yes because two x's or domains can point to one y

7. What is the domain of the cube root function?
Parabola - up one and right three
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching

8. Is a standard quadratic function even - odd or neither?
[0 -+infinity)
Y
Even
F(x) = x

9. What is the letter used to represent slope?
M
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Equation of a line

10. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
F(x2)-f(x1) / x2-x1
F(x)=suare root of x
In a quotient

11. What is the standard quadratic function?
The slope of a line containing two points
Parraelle 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
X^2

12. How many domains can you have pointing to one range?
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.
Cannot be drawn in quizlet
Parabola - up one and right three
As many as you like

13. 4(x-7)=4x-28 is what type of an equation?
Even
Identity
Inconsitent
(-infinity - +infinity)

14. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
0<c<1 - horizontal stretching
Parabola - up one and right three
F(x) = x

15. What is the slope intercept formula? Define all the variables.
Horizontal left
Y
Parraelle line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

16. What is a function?
The opposite coordinates
Down
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Undefined

17. Draw or discuss a decreasing function
As many as you like
Cannot be drawn in quizlet
In a quotient
[0 -+infinity)

18. What equation does every line have? Discuss the variables.
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.
Even
A V
F of g and g of f

19. What is the domain for a standard quadratic function?
X^2
2nd key - x^2 - graph
Conditional
(-infinity - +infinity)

20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Conditional
Neither
1 -2 -3
Cannot be drawn in quizlet

21. What is a function?
F of g and g of f
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
(-infinity - +infinity)

22. 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
Identity
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

23. What does the graph of the cube root function look like on the graph?
Y=x - identity function
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?
Odd

24. Is an identity function even - odd or neither?
Odd
Approach neg toward x through zero and above positive close to x
Mirror image neg quadrant to that of the positive quandrant
Line ascending to the right gradually

25. How many ranges can you have for each domain?
Only one
Inconsitent
Function notation
F(x2)-f(x1) / x2-x1

26. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Conditional
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
F(x+h)-f(x)/h h cannot equal zero

27. What equation does every line have? Discuss the variables.
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.
Neither
F(x)=x^3

28. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Line ascending to the right gradually
Equation of a line
F(x^1)=f(x^2)

29. What is the range of a square root function?
F(x) = x
4 -6 -9
Negative slope
[0 -+infinity)

30. Two vertical lines side by side are a symbol for what
X = the original sale price and the formula is x - .40x =$276
Parraelle line
(-infinity - +infinity)
45 degree angle

31. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Function notation
Down
As equations

32. What is the formula for to calculate the difference of a quotient function?
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Cannot be drawn in quizlet

33. What are the calculator instructions for the cube root function?
Math 4 x - graph
Equation of a line
M
Horizontal

34. What is the formula for the cube root function?
F(x)=3 square root x
A V
When does a graph not define y as a function of x?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. What is slope?
Down
A line passing through two distinct points
Yes - all the domains points to one range
2nd key - x^2 - graph

36. $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?
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
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
Even

37. What type of slope do horizontal lines have?
Parabola
Conditional
Same
Change in y / change in x = rise / run = y2-y1 / x2-x1

38. What does the absolute value function look like?
Parabola - up one and right three
A V
A line passing through two distinct points
4 -6 -9

39. What is the formula for an absolute value function?
Mirror image neg quadrant to that of the positive quandrant
Negative inverse
F(x)=IxI
(-infinity - +infinity)

40. What are the calculator instructions for the standard cubic function?
Cannot be drawn in quizlet
X math 3 graph
F(x^1)=f(x^2)
F(x)=+c and f(x)-c

41. What is the domain for the standard cubic function?
Down
(-infinity - +infinity)
As equations
When does a graph not define y as a function of x?

42. What are the calculator instructions for the cube root function?
Yes - all the domains points to one range
Math 4 x - graph
When does a graph not define y as a function of x?
X2-x1 because the demonaitor of a quotient can never equal zero

43. What direction does f(x)-c move in standard absolute value formula?
The minimum or maximum points
Equation of a line
Down
Negative inverse

44. What is the range of an identity function?
Function notation
(-infinity - +infinity)
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.
Cannot be drawn in quizlet

45. What is an identity function?
The second set of components of an ordered pair
Perpendicular line
45 degree angle
Mirror image neg quadrant to that of the positive quandrant

46. What are the calculator instructions for a square root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes
No because you cannot have one domain pointing at two y's or ranges

47. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
The opposite coordinates
In a quotient
Piecewise

48. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Conditional
M
Negative inverse

49. What points do you use to plot the inverse on a graph?
In a quotient
The opposite coordinates
F of g and g of f
Undefined slope

50. What does linear equation mean?
Equation of a line
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
Horizontal