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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 is the domain of a square root function?
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Down
(-infinity - +infinity)

2. What is the average rate of change formula?
Identity
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
(-infinity - +infinity)

3. Which direction does f(x-c) move
Horizontal right
Undefined
Square Root
Even

4. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
45 degree angle
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
Undefined slope
4 -6 -9

5. When is the only time (-infinity - +infinity) is not the domain?
Even
Y=10
Yes - all the domains points to one range
In a quotient

6. 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?
Even
C>1 - horizontal shrinking
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd

7. What type of slope do you have when a line falls left to right and m<0?
X^2
F(x)=3 square root x
Absolute Value - Constant and Standard Quadratic
Negative slope

8. What is the horizontal line formula?
Y=10
Y=b
45 degree angle
Horizontal

9. x=no real numbers is what type of an equation?
Inconsistant
As many as you like
Cannot be drawn in quizlet
[0 -+infinity)

10. What is the range of the cube root function?
X math 3 graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
(-infinity - +infinity)

11. What is the range for the standard cubic function?
(-infinity - +infinity)
Conditional
As many as you like
The slope of a line containing two points

12. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Cannot be drawn in quizlet
Y
Identity
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

13. In an identity function if f(10)=x than What is y?
Y=10
A line passing through two distinct points
X^2
(-infinity - +infinity)

14. How are functions normally written?
A V
Inconsistant
As equations
F of g and g of f

15. What is the formula for an identity function?
F(x) = x
Y
Horizontal left
Zero slope

16. A flat line underlining one vertical line is a symbol for...
Identity
F(x)=+c and f(x)-c
[0 -+infinity)
Perpendicular line

17. What does the graph of the cube root function look like on the graph?
Because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
F(x^1)=f(x^2)
Odd

18. What is the range for an absolute value function?
Identity
The opposite coordinates
Conditional
(-infinity - 0]you[0 - +infinity)

19. What type of line is a constant function?
[0 -+infinity)
(-infinity - +infinity)
In a quotient
Horizontal

20. What does the standard cubic function look like on a graph?
F(x)=suare root of x
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
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

21. What is the domain of a square root function?
0<c<1 - horizontal stretching
Horizontal right
[0 -+infinity)
4 -6 -9

22. 4(x-7)=4x-28 is what type of an equation?
Identity
M
45 degree angle
X=a

23. 4x+5x=8x is what type of an equation?
(-infinity - 0]you[0 - +infinity)
Conditional
Identity
X = the original sale price and the formula is x - .40x =$276

24. What direction does f(x)-c move in standard absolute value formula?
Down
Mirror image neg quadrant to that of the positive quandrant
Yes - all the domains points to one range
Math 4 x - graph

25. What is slope?
A line passing through two distinct points
X = the original sale price and the formula is x - .40x =$276
In a quotient
Horizontal

26. What type of slope do you have when the line is horizontal and m=0?
(-infinity - 0]you[0 - +infinity)
Zero slope
Perpendicular line
Negative inverse

27. What is the range of the cube root function?
Math 4 x - graph
(-infinity - +infinity)
Conditional
Identity

28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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 secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+c) and f(x-c)

29. What is the domain of an identity function?
Cannot be drawn in quizlet
Horizontal right
(-infinity - +infinity)
Line ascending to the right gradually

30. What can never equal zero in the slope formula and why?
Parraelle line
X2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even

31. What is a constant function?
[0 -+infinity)
F(x2)-f(x1) / x2-x1
F(x2)-f(x1) / x2-x1
F(x^1)=f(x^2)

32. Of the seven of algebra's common graph's how many are neither?
Equation of a line
F(x)=IxI
Square Root
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

33. Two vertical lines side by side are a symbol for what
Even
The secant line
X2-x1 because the demonaitor of a quotient can never equal zero
Parraelle line

34. Is the standard cubic function odd - even or neither?
Odd
When does a graph not define y as a function of x?
Postiive slope
(-infinity - 0]you[0 - +infinity)

35. What is a range?
(-infinity - +infinity)
Inconsistant
The second set of components of an ordered pair
(-infinity - +infinity)

36. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Set the x and y to zero and get the intercepts and then plot the points
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.
(-infinity - +infinity)

37. What are the calculator instructions for the cube root function?
F(x2)-f(x1) / x2-x1
Math 4 x - graph
Y=10
Y=x - identity function

38. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
F(x+h)-f(x)/h h cannot equal zero
Line ascending to the right gradually
(-infinity - +infinity)

39. How many ranges can you have for each domain?
Equation of a line
(-infinity - +infinity)
Undefined
Only one

40. What is the range of the constant function?
(-infinity - +infinity)
The single number y=
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

41. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x)=3 square root x
Inconsitent

42. What are two examples of composit functions?
(-infinity - +infinity)
Identity
F of g and g of f
Absolute Value - Constant and Standard Quadratic

43. What type of slope do horizontal lines have?
Same
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking

44. What is the letter used to represent slope?
Yes because two x's or domains can point to one y
X is the hours to repair the boat. $1603-532=anwser/63 = x
M
The slope of a line containing two points

45. What is the domain for a standard quadratic function?
The slope of a line containing two points
(-infinity - +infinity)
Identity
The first set of components of an ordered pair

46. How do you calculate a constant function in your calculator?
F(x+c) and f(x-c)
Yes - all the domains points to one range
The single number y=
Y= then enter the number then press graph

47. What is the range for the standard cubic function?
Postiive slope
Equation of a line
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

48. y=f(cx) - What does this formula represent?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=IxI
C>1 - horizontal shrinking
Y=10

49. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
Function notation
As equations
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

50. What type of line is a constant function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal