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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 does the average rate of change formula solve?
In a quotient
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
The slope of a line containing two points

2. How many domains can you have pointing to one range?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x) = x

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Three odd - cube root - identity - standard cubic
Perpendicular line
(-infinity - 0]you[0 - +infinity)
The secant line

4. What type of line is an identity function?
Down
45 degree angle
X=a
The opposite coordinates

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

6. How many domains can you have pointing to one range?
F(x^1)=f(x^2)
As many as you like
F(x)=IxI
Y=x^2 - graph

7. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
F(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

8. What is the range of the cube root function?
Inconsitent
The second set of components of an ordered pair
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)

9. x=no real numbers is what type of an equation?
Inconsistant
X2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
Square Root

10. What is slope?
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
A line passing through two distinct points
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.

11. What is the average rate of change formula?
Horizontal
F(x2)-f(x1) / x2-x1
[0 -+infinity)
Piecewise

12. What type of slope do vertical lines have?
No because you cannot have one domain pointing at two y's or ranges
Yes - all the domains points to one range
Undefined
F(x^1)=f(x^2)

13. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
In a quotient
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

14. What is the range of a square root function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
[0 -+infinity)
X^2

15. What are the steps for solving a word problem?
X2-x1 because the demonaitor of a quotient can never equal zero
Identity
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
Equation of a line

16. What is another way to write f(x)=x - what type of function is this?
20+.05x=5+.10x x=minutes
Even
Y=x - identity function
F(x+c) and f(x-c)

17. What is the slope of a perpendicular line?
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
Negative inverse

18. What is the formula for the cube root function?
No because you cannot have one domain pointing at two y's or ranges
F(x)=3 square root x
Parabola
Horizontal right

19. x=all real numbers is what type of an equation?
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
Identity
[0 -+infinity)

20. What is the domain for the standard cubic function?
(-infinity - +infinity)
F(x+c) and f(x-c)
45 degree angle
Cannot be drawn in quizlet

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
2nd key - x^2 - graph
The slope of a line containing two points
Square Root
4 -6 -9

22. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Up
Undefined
Cannot be drawn in quizlet

23. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal right
Undefined slope
1 -2 -3

24. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Postiive slope
Negative slope
F(x)=+c and f(x)-c

25. How do you calculate a constant function in your calculator?
Postiive slope
Set the x and y to zero and get the intercepts and then plot the points
Y= then enter the number then press graph
F(x2)-f(x1) / x2-x1

26. What type of line is a constant function?
Odd
Even
Horizontal
F(x)=3 square root x

27. What type of slope do you have when m=? and the line is vertical?
When does a graph not define y as a function of x?
Undefined slope
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant

28. Which direction does f(x-c) move
Horizontal right
F(x)=+c and f(x)-c
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

29. What is the point slope formula and when do you use it?
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Absolute Value - Constant and Standard Quadratic
Equation of a line

30. Is a constant function even - odd or neither?
F(x+h)-f(x)/h h cannot equal zero
F(x)=3 square root x
[0 -+infinity)
Even

31. y=f(cx) What does this formula represent?
(-infinity - +infinity)
Equation of a line
0<c<1 - horizontal stretching
C>1 - horizontal shrinking

32. What type of slope do you have when the line is horizontal and m=0?
Square Root
The second set of components of an ordered pair
Undefined slope
Zero slope

33. What can never equal zero in the slope formula and why?
Horizontal right
2nd key - x^2 - graph
X2-x1 because the demonaitor of a quotient can never equal zero
Odd

34. What is the standard quadratic function?
X^2
A V
As many as you like
Zero slope

35. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Conditional
Even
The second set of components of an ordered pair

36. What is the slope of a perpendicular line?
Y
Perpendicular line
F(x2)-f(x1) / x2-x1
Negative inverse

37. What points do you use to plot the inverse on a graph?
When does a graph not define y as a function of x?
The opposite coordinates
Conditional
Down

38. What are two examples of composit functions?
F of g and g of f
Function notation
Even
Y=IxI

39. What is the formula in both horizontal stretching and horizontal shrinking?
Approach neg toward x through zero and above positive close to x
Horizontal right
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y

40. What does linear equation mean?
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional

41. 4x+5x=8x is what type of an equation?
Conditional
(-infinity - +infinity)
Odd
Parraelle line

42. What does the square root function look like on a graph?
Line ascending to the right gradually
When does a graph not define y as a function of x?
Even
Parabola - up one and right three

43. standard absolute value - vertical shift formulas for positve and negative
Function notation
Line ascending to the right gradually
F(x)=+c and f(x)-c
(-infinity - +infinity)

44. What is a range?
X math 3 graph
Math 4 x - graph
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 second set of components of an ordered pair

45. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
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
Odd

46. Is a standard quadratic function even - odd or neither?
C>1 - horizontal shrinking
M
Even
0<c<1 - horizontal stretching

47. What is the formula for the square root function?
F(x+h)-f(x)/h h cannot equal zero
F(x)=suare root of x
The secant line
Three odd - cube root - identity - standard cubic

48. What is the range of a square root function?
0<c<1 - horizontal stretching
F(x)=IxI
A line passing through two distinct points
[0 -+infinity)

49. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
M
Neither
Y=b

50. Which direction does f(x)=+c move in standard absolute value formula?
F(x+c) and f(x-c)
Up
Neither
Approach neg toward x through zero and above positive close to x