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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 20 minutes. 2 minutes extra for reading the instructions.
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 are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
M
Horizontal
20+.05x=5+.10x x=minutes

2. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Up
A line passing through two distinct points
20+.05x=5+.10x x=minutes
X math 3 graph

3. What is the letter used to represent slope?
1 -2 -3
F(x+c) and f(x-c)
M
Same

4. What is the vertex?
Negative slope
Yes - all the domains points to one range
The minimum or maximum points
Identity

5. What is the average rate of change formula?
Y=IxI
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1
M

6. What are the calculator instructions for the cube root function?
Horizontal right
Three odd - cube root - identity - standard cubic
Conditional
Math 4 x - graph

7. What type of slope do you have when m=? and the line is vertical?
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 left
As equations
Undefined slope

8. What type of slope do vertical lines have?
Undefined
C>1 - horizontal shrinking
X is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant

9. What is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
F(x)=IxI
F(x^1)=f(x^2)
Even

10. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
The first set of components of an ordered pair
2nd key - x^2 - graph
(-infinity - +infinity)

11. Which direction does f(x)=+c move in standard absolute value formula?
Up
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
Identity
X=a

12. What is another way to write f(x)=x - what type of function is this?
Cannot be drawn in quizlet
Y=x - identity function
F of g and g of f
Three odd - cube root - identity - standard cubic

13. How are functions normally written?
As equations
Piecewise
Set the x and y to zero and get the intercepts and then plot the points
F(x+c) and f(x-c)

14. What are the calculator instructions for a square root function?
Up
2nd key - x^2 - graph
Horizontal
(-infinity - +infinity)

15. What is the formula in both horizontal stretching and horizontal shrinking?
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=+c and f(x)-c

16. What is the standard quadratic function?
X=a
20+.05x=5+.10x x=minutes
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X^2

17. What can we substitute for f(x)?
A V
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The first set of components of an ordered pair
Y

18. What does the square root function look like on a graph?
Conditional
X = the original sale price and the formula is x - .40x =$276
F(x)=3 square root x
Line ascending to the right gradually

19. What is the formula for to calculate the difference of a quotient function?
Because the demintor of a quotient can never equal zero
Horizontal right
F(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x

20. What type of line is a constant function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1

21. How are functions normally written?
As equations
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.
Neither
Three odd - cube root - identity - standard cubic

22. What type of slope do you have when a line rises from left to right and m>0?
The opposite coordinates
X = the original sale price and the formula is x - .40x =$276
Same
Postiive slope

23. 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?
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.
X is the hours to repair the boat. $1603-532=anwser/63 = x
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.
Conditional

24. What is the formula for the standard cubic function?
Mirror image neg quadrant to that of the positive quandrant
F(x)=x^3
F(x^1)=f(x^2)
(-infinity - 0]you[0 - +infinity)

25. Is the standard cubic function odd - even or neither?
Function notation
Equation of a line
Yes - all the domains points to one range
Odd

26. What equation does every line have? Discuss the variables.
(-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.
When does a graph not define y as a function of x?
(f+g) - (f-g) - (fg) - (f/g) all of x

27. Of the seven of algebra's common graph's how many are odd?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y
Identity
Three odd - cube root - identity - standard cubic

28. What is the domain of the cube root function?
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
(-infinity - +infinity)
Conditional
Identity

29. What is another way of writing the absolute value function?
Conditional
Yes because two x's or domains can point to one y
Y=IxI
X=a

30. What is the vertical line test?
When does a graph not define y as a function of x?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
(-infinity - +infinity)

31. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Y=IxI
F(x)=+c and f(x)-c

32. What is a range?
(-infinity - +infinity)
The second set of components of an ordered pair
Only one
Square Root

33. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Conditional
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet

34. 4(x-7)=4x-28 is what type of an equation?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity
Horizontal
(-infinity - 0]you[0 - +infinity)

35. In an identity function if f(10)=x than What is y?
The second set of components of an ordered pair
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
When does a graph not define y as a function of x?

36. Of the seven of algebra's common graph's how many are neither?
Square Root
Odd
Y=IxI
Parabola

37. What is the domain of the cube root function?
X^2
(-infinity - +infinity)
Horizontal
Approach neg toward x through zero and above positive close to x

38. What is another way to write f(x)=x - what type of function is this?
Down
Odd
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.
Y=x - identity function

39. When is the only time (-infinity - +infinity) is not the domain?
Yes - all the domains points to one range
In a quotient
Piecewise
A V

40. What are the algebra of functions?
Perpendicular line
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x
C>1 - horizontal shrinking

41. What is the domain for the standard cubic function?
Cannot be drawn in quizlet
The second set of components of an ordered pair
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

42. What is the range of the constant function?
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.
The single number y=
Even
C>1 - horizontal shrinking

43. What does the absolute value function look like?
F of g and g of f
Identity
A V
Neither

44. What is the vertex?
Up
The minimum or maximum points
Odd
2nd catalog (zero key -) abs(x) - graph

45. Is a standard quadratic function even - odd or neither?
Identity
Even
Yes because two x's or domains can point to one y
F(x)=suare root of x

46. What is the domain for an absolute value function?
(-infinity - +infinity)
1 -2 -3
Inconsistant
Even

47. What does linear equation mean?
The single number y=
Equation of a line
Inconsistant
F(x)=x^3

48. What can never equal zero in the slope formula and why?
X=a
X2-x1 because the demonaitor of a quotient can never equal zero
Identity
Cannot be drawn in quizlet

49. What is slope?
A line passing through two distinct points
F(x) = x
Negative inverse
0<c<1 - horizontal stretching

50. What is the slope intercept formula? Define all the variables.
2nd key - x^2 - graph
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y