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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 points do you use to plot the inverse on a graph?
The opposite coordinates
Yes - all the domains points to one range
Inconsitent
F(x)=3 square root x

2. How are functions normally written?
Yes - all the domains points to one range
As equations
Negative inverse
(-infinity - +infinity)

3. How many domains can you have pointing to one range?
Approach neg toward x through zero and above positive close to x
Even
4 -6 -9
As many as you like

4. 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
Parabola - up one and right three
Equation of a line
As equations

5. What type of slope do you have when m=? and the line is vertical?
Undefined slope
F(x) = x
As many as you like
45 degree angle

6. When is the only time (-infinity - +infinity) is not the domain?
Conditional
In a quotient
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
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

7. Which direction does f(x-c) move
Y=x - identity function
Horizontal right
Inconsistant
(-infinity - +infinity)

8. y=f(cx) - What does this formula represent?
Negative inverse
(-infinity - +infinity)
C>1 - horizontal shrinking
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.

9. What is the domain and range of a constant function?
(-infinity - +infinity)
Zero slope
Even
Same

10. What is the slope intercept formula? Define all the variables.
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd catalog (zero key -) abs(x) - graph
The second set of components of an ordered pair

11. What is the formula in both horizontal stretching and horizontal shrinking?
Parraelle line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet

12. What type of line is a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Up
Horizontal
4 -6 -9

13. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Zero slope
Parraelle line

14. What type of line is an identity function?
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
Odd
45 degree angle

15. 4(x-7)=4x+28 is what type of an equation?
When does a graph not define y as a function of x?
Inconsitent
Y=x - identity function
Parabola

16. What is the range of the constant function?
X = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=
Undefined slope

17. What direction does f(x)-c move in standard absolute value formula?
Piecewise
Horizontal left
(-infinity - +infinity)
Down

18. What is slope?
A line passing through two distinct points
Even
Piecewise
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

19. What is another way to write f(x)=x - what type of function is this?
Negative slope
Y=x - identity function
(-infinity - +infinity)
Perpendicular line

20. What type of slope do vertical lines have?
Horizontal
Inconsistant
Undefined
Conditional

21. standard absolute value - horizontal shift formulas for left and right
C>1 - horizontal shrinking
F(x+c) and f(x-c)
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

22. What are the calculator instructions for a standard quadratic equation?
45 degree angle
Because the demintor of a quotient can never equal zero
Y=x^2 - graph
When does a graph not define y as a function of x?

23. What is the formula for slope?
The minimum or maximum points
Cannot be drawn in quizlet
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1

24. 4x+5x=8x is what type of an equation?
A V
Inconsistant
Conditional
Even

25. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=3 square root x
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic

26. What is the domain for an absolute value function?
Postiive slope
(-infinity - +infinity)
Horizontal
Identity

27. Two vertical lines side by side are a symbol for what
Parraelle line
Y=IxI
As many as you like
(-infinity - +infinity)

28. What is the formula for the standard cubic function?
F(x)=x^3
The opposite coordinates
C>1 - horizontal shrinking
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. How many ranges can you have for each domain?
(-infinity - +infinity)
The single number y=
Only one
Three odd - cube root - identity - standard cubic

30. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Parraelle line
Horizontal
Yes - all the domains points to one range
(-infinity - +infinity)

31. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
In a quotient
F(x)=suare root of x
F(x) = x

32. What is the formula for the square root function?
Square Root
F(x)=suare root of x
0<c<1 - horizontal stretching
45 degree angle

33. What is the formula for an absolute value function?
F(x)=IxI
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

34. Is an identity function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
Odd
C>1 - horizontal shrinking

35. What type of line is a constant function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Neither
Parabola - up one and right three
Horizontal

36. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Piecewise
Same

37. $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
Line ascending to the right gradually
The opposite coordinates
Negative slope

38. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
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
(-infinity - +infinity)
1 -2 -3

39. How many domains can you have pointing to one range?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The first set of components of an ordered pair
(-infinity - +infinity)
As many as you like

40. What type of slope do you have when a line falls left to right and m<0?
Absolute Value - Constant and Standard Quadratic
Negative slope
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

41. What are two examples of composit functions?
F(x^1)=f(x^2)
Down
F of g and g of f
Parabola - up one and right three

42. What is the domain of an identity function?
F(x+c) and f(x-c)
Even
(-infinity - +infinity)
Math 4 x - graph

43. 4(x-7)=4x-28 is what type of an equation?
Function notation
Identity
In a quotient
Horizontal left

44. What are the calculator instructions for a square root function?
X=a
2nd key - x^2 - graph
Conditional
Y=b

45. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Odd
Absolute Value - Constant and Standard Quadratic
Neither

46. What does the standard cubic function look like on a graph?
Yes - all the domains points to one range
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
Function notation

47. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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.
Undefined slope
1 -2 -3

48. What is an identity function?
45 degree angle
1 -2 -3
Parabola
Horizontal

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
X = the original sale price and the formula is x - .40x =$276
F(x)=3 square root x
The opposite coordinates

50. What type of line is a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Equation of a line
Equation of a line
Horizontal

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College Algebra Test

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