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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 type of function would you use to calculate the most advantageous cell phone plan?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The slope of a line containing two points
Piecewise
0<c<1 - horizontal stretching

2. What are the four steps for finding the inverse of a function?
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=+c and f(x)-c
F(x+h)-f(x)/h h cannot equal zero

3. What does the absolute value function look like?
A V
45 degree angle
Horizontal
F(x)=+c and f(x)-c

4. What is the formula for an identity function?
X=a
Even
F(x) = x
Three odd - cube root - identity - standard cubic

5. f(x) = x^2+3x+5 - what type of formula is this?
X2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph
Function notation
Line ascending to the right gradually

6. Which direction does f(x+c) move
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Conditional
Horizontal left

7. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Up
Neither
1 -2 -3
The single number y=

8. standard absolute value - vertical shift formulas for positve and negative
Y=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=+c and f(x)-c
Undefined

9. What is the formula for slope?
Yes because two x's or domains can point to one y
As many as you like
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1

10. What are the calculator instructions for the cube root function?
Yes because two x's or domains can point to one y
Math 4 x - graph
X math 3 graph
Y= then enter the number then press graph

11. What is a range?
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
Parabola
The second set of components of an ordered pair
Neither

12. What type of slope do you have when a line rises from left to right and m>0?
4 -6 -9
C>1 - horizontal shrinking
(-infinity - +infinity)
Postiive slope

13. What does the graph of the cube root function look like on the graph?
Y=b
(-infinity - +infinity)
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x

14. What is the range of an identity function?
Approach neg toward x through zero and above positive close to x
Same
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

15. What are the calculator instructions for the standard cubic function?
X math 3 graph
(-infinity - +infinity)
Up
Odd

16. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
M
4 -6 -9
Yes because two x's or domains can point to one y

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Mirror image neg quadrant to that of the positive quandrant
Y=b
The secant line
A V

18. What is another way of writing the absolute value function?
Y=IxI
Even
Horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x

19. Is the square root function odd - even or neither?
Horizontal left
X^2
F(x^1)=f(x^2)
Neither

20. What is the vertical line test?
The slope of a line containing two points
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points
Horizontal

21. 4(x-7)=4x+28 is what type of an equation?
Mirror image neg quadrant to that of the positive quandrant
Neither
Inconsitent
Zero slope

22. What is the formula for an absolute value function?
Piecewise
F(x)=IxI
Equation of a line
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

23. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
F(x+c) and f(x-c)
Line ascending to the right gradually
F(x)=3 square root x

24. What is another way to write f(x)=x - what type of function is this?
2nd key - x^2 - graph
Y=x - identity function
Square Root
(-infinity - 0]you[0 - +infinity)

25. What is the slope of a perpendicular line?
Negative inverse
The first set of components of an ordered pair
A line passing through two distinct points
F(x) = x

26. What is a function?
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

27. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
X=a
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional
Parraelle line

28. What shape is the standard quadratic function?
Conditional
Parabola
Any set of ordered pairs
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.

29. What is the range for the standard cubic function?
Undefined slope
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)

30. Draw or discuss a decreasing function
Postiive slope
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

31. What is the slope intercept formula? Define all the variables.
Identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=IxI
Line ascending to the right gradually

32. What is the formula for the standard cubic function?
Cannot be drawn in quizlet
2nd key - x^2 - graph
F(x)=x^3
45 degree angle

33. Is the standard cubic function odd - even or neither?
No because you cannot have one domain pointing at two y's or ranges
Square Root
Cannot be drawn in quizlet
Odd

34. What type of line is an identity function?
Only one
45 degree angle
Yes - all the domains points to one range
2nd key - x^2 - graph

35. What is the range of the constant function?
The second set of components of an ordered pair
The single number y=
Cannot be drawn in quizlet
F(x)=+c and f(x)-c

36. How many ranges can you have for each domain?
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
F(x)=suare root of x
Only one

37. What does the average rate of change formula solve?
The slope of a line containing two points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even
Cannot be drawn in quizlet

38. 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 is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y
(-infinity - +infinity)

39. What is the range of a square root function?
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
[0 -+infinity)
F(x^1)=f(x^2)

40. What are the four steps for solving a linear equation?
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
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.
Cannot be drawn in quizlet

41. What is the formula for an identity function?
Neither
Mirror image neg quadrant to that of the positive quandrant
The minimum or maximum points
F(x) = x

42. x=no real numbers is what type of an equation?
45 degree angle
Parraelle line
Yes because two x's or domains can point to one y
Inconsistant

43. Draw or discuss a constant function
Negative inverse
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

44. What equation does every line have? Discuss the variables.
(f+g) - (f-g) - (fg) - (f/g) all of x
Y= then enter the number then press graph
Absolute Value - Constant and Standard Quadratic
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.

45. In an identity function if f(10)=x than What is y?
Y=10
(-infinity - +infinity)
Conditional
The slope of a line containing two points

46. What can never equal zero in the slope formula and why?
Math 4 x - graph
Conditional
F(x)=+c and f(x)-c
X2-x1 because the demonaitor of a quotient can never equal zero

47. What type of slope do you have when the line is horizontal and m=0?
Approach neg toward x through zero and above positive close to x
Y=10
Zero slope
X2-x1 because the demonaitor of a quotient can never equal zero

48. Why can h not equal zero in the difference of a quotient function formula?
Set the x and y to zero and get the intercepts and then plot the points
Because the demintor of a quotient can never equal zero
Identity
(-infinity - 0]you[0 - +infinity)

49. Of the seven of algebra's common graph's how many are odd?
Parabola
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic

50. What type of line is a constant function?
As equations
F(x+c) and f(x-c)
Yes because two x's or domains can point to one y
Horizontal