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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 absolute value function look like?
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x
A V
X=a

2. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Conditional
Even
(-infinity - +infinity)

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

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4. What are the steps for solving a word problem?
The second set of components of an ordered pair
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
Y=IxI
The first set of components of an ordered pair

5. What are the algebra of functions?
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph
4 -6 -9

6. How many ranges can you have for each domain?
Yes - all the domains points to one range
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
Only one

7. standard absolute value - horizontal shift formulas for left and right
When does a graph not define y as a function of x?
As equations
In a quotient
F(x+c) and f(x-c)

8. What is the standard quadratic function?
Y=10
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
X^2

9. What is the vertical line formula?
X=a
As many as you like
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y

10. What is the domain of a square root 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.
Approach neg toward x through zero and above positive close to x
[0 -+infinity)
Piecewise

11. Of the seven of algebra's common graph's how many are neither?
Horizontal
Undefined slope
(-infinity - +infinity)
Square Root

12. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Same
F(x+c) and f(x-c)
(-infinity - +infinity)

13. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=+c and f(x)-c
F(x^1)=f(x^2)
Piecewise
The first set of components of an ordered pair

14. What is the formula in both horizontal stretching and horizontal shrinking?
2nd key - x^2 - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
Set the x and y to zero and get the intercepts and then plot the points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. What is the formula for an identity function?
F(x) = x
0<c<1 - horizontal stretching
45 degree angle
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

16. In an identity function if f(10)=x than What is y?
Y=10
F(x+c) and f(x-c)
The minimum or maximum points
The second set of components of an ordered pair

17. f(x) = x^2+3x+5 - what type of formula is this?
F(x)=IxI
Horizontal right
F(x2)-f(x1) / x2-x1
Function notation

18. What is the range of a square root function?
Even
(-infinity - +infinity)
Odd
[0 -+infinity)

19. How are functions normally written?
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
As equations
[0 -+infinity)

20. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Perpendicular line
X=a
Set the x and y to zero and get the intercepts and then plot the points

21. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

22. 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?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
In a quotient
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd

23. standard absolute value - vertical shift formulas for positve and negative
0<c<1 - horizontal stretching
Y=x^2 - graph
Even
F(x)=+c and f(x)-c

24. What is the point slope formula and when do you use it?
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd catalog (zero key -) abs(x) - graph
Y

25. What is the point slope formula and when do you use it?
45 degree angle
45 degree angle
X=a
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

26. What is the letter used to represent slope?
M
(-infinity - +infinity)
Undefined
The minimum or maximum points

27. Which direction does f(x-c) move
Horizontal right
Perpendicular line
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

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

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29. What is the slope intercept formula? Define all the variables.
[0 -+infinity)
Line ascending to the right gradually
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
M

30. Which direction does f(x)=+c move in standard absolute value formula?
Inconsitent
Up
Down
Zero slope

31. What are the calculator instructions for the standard cubic function?
X math 3 graph
45 degree angle
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.
Because the demintor of a quotient can never equal zero

32. What is the formula for the cube root function?
F(x)=3 square root x
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
A V

33. Of the seven of algebra's common graph's how many are neither?
F(x)=+c and f(x)-c
Square Root
Up
F(x) = x

34. Is a standard quadratic function even - odd or neither?
Yes because two x's or domains can point to one y
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
Even

35. How are functions normally written?
Horizontal left
(-infinity - 0]you[0 - +infinity)
As equations
F(x)=suare root of x

36. What is the formula for an absolute value function?
F(x)=3 square root x
F(x)=IxI
The second set of components of an ordered pair
Perpendicular line

37. What type of slope do you have when m=? and the line is vertical?
A line passing through two distinct points
F of g and g of f
Y= then enter the number then press graph
Undefined slope

38. What is a constant function?
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.
The slope of a line containing two points
F(x^1)=f(x^2)
Identity

39. Is the square root function odd - even or neither?
Neither
Y= then enter the number then press graph
F(x) = x
(-infinity - 0]you[0 - +infinity)

40. What is the range for the standard cubic function?
Square Root
Only one
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

41. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

42. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

43. What is the slope of a perpendicular line?
As many as you like
Piecewise
Negative inverse
Even

44. What is the range for a standard quadratic function?
Horizontal left
A line passing through two distinct points
(-infinity - 0]you[0 - +infinity)
M

45. How many domains can you have pointing to one range?
Y
As many as you like
Square Root
Zero slope

46. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)
Same
The minimum or maximum points

47. What type of slope do you have when the line is horizontal and m=0?
Zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F of g and g of f
0<c<1 - horizontal stretching

48. x=all real numbers is what type of an equation?
Identity
Because the demintor of a quotient can never equal zero
X math 3 graph
0<c<1 - horizontal stretching

49. What is the average rate of change formula?
Negative slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x2)-f(x1) / x2-x1
Horizontal

50. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Identity
20+.05x=5+.10x x=minutes
Odd
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