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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 horizontal line formula?
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=b

2. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Even
Horizontal left
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

3. How would this formula move f(x)=(x+1)^2-3
Parabola
Parabola - up one and right three
Even
Conditional

4. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
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.
The first set of components of an ordered pair
Yes - all the domains points to one range

5. In an identity function if f(10)=x than What is y?
Any set of ordered pairs
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=10
(-infinity - +infinity)

6. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Perpendicular line
(-infinity - +infinity)
Even

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

8. What is an identity function?
(-infinity - 0]you[0 - +infinity)
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
45 degree angle
Conditional

9. What is the vertical line formula?
Perpendicular line
(-infinity - +infinity)
F(x) = x
X=a

10. Draw or discuss a decreasing function
Cannot be drawn in quizlet
F(x)=x^3
Mirror image neg quadrant to that of the positive quandrant
45 degree angle

11. What is the vertex?
The minimum or maximum points
Square Root
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal

12. What is the formula for the cube root function?
Mirror image neg quadrant to that of the positive quandrant
Zero slope
F(x)=3 square root x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

13. What is the range for a standard quadratic function?
F(x)=suare root of x
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
F(x)=x^3

14. Why can h not equal zero in the difference of a quotient function formula?
F(x2)-f(x1) / x2-x1
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
Identity
Because the demintor of a quotient can never equal zero

15. What are the calculator instructions for absolute value?
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph
F(x)=suare root of x
Odd

16. What is the domain for an absolute value function?
Odd
(-infinity - +infinity)
Conditional
X^2

17. What is the formula for an absolute value function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
F(x)=IxI
As many as you like

18. Is the square root function odd - even or neither?
Parraelle line
(-infinity - 0]you[0 - +infinity)
20+.05x=5+.10x x=minutes
Neither

19. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
When does a graph not define y as a function of x?
The secant line
20+.05x=5+.10x x=minutes
Identity

20. What type of slope do you have when m=? and the line is vertical?
Up
Undefined slope
Equation of a line
Only one

21. What is a relation?
X^2
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Any set of ordered pairs

22. What is the formula for the standard cubic function?
(-infinity - +infinity)
Square Root
F(x)=x^3
(-infinity - 0]you[0 - +infinity)

23. What type of slope do you have when m=? and the line is vertical?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Up
45 degree angle
Undefined slope

24. What is the range of the constant function?
The single number y=
Three odd - cube root - identity - standard cubic
[0 -+infinity)
(-infinity - +infinity)

25. What is the formula for an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x) = x
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

26. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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)

27. What is the vertical line test?
When does a graph not define y as a function of x?
(-infinity - +infinity)
(-infinity - +infinity)
Undefined slope

28. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
45 degree angle
(-infinity - +infinity)
Inconsistant

29. What does the absolute value function look like?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
A V
The opposite coordinates

30. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=IxI
F(x)=IxI
Square Root

31. What are the calculator instructions for a standard quadratic equation?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
The first set of components of an ordered pair
(-infinity - +infinity)

32. 4x+5x=8x is what type of an equation?
[0 -+infinity)
The secant line
Conditional
F(x^1)=f(x^2)

33. What is the domain and range of a constant function?
Negative slope
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
F(x)=x^3
(-infinity - +infinity)

34. What type of slope do vertical lines have?
Square Root
Mirror image neg quadrant to that of the positive quandrant
F(x+c) and f(x-c)
Undefined

35. $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
Approach neg toward x through zero and above positive close to x
F(x)=3 square root x
The slope of a line containing two points

36. x=no real numbers is what type of an equation?
Inconsistant
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
F of g and g of f

37. What is another way to write f(x)=x - what type of function is this?
Cannot be drawn in quizlet
Function notation
Y=x - identity function
Function notation

38. What points do you use to plot the inverse on a graph?
Cannot be drawn in quizlet
Y=IxI
The opposite coordinates
Cannot be drawn in quizlet

39. What are the calculator instructions for the standard cubic function?
A V
Piecewise
X math 3 graph
0<c<1 - horizontal stretching

40. What type of line is a constant function?
Undefined slope
F(x+c) and f(x-c)
[0 -+infinity)
Horizontal

41. What type of line is a 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.
45 degree angle
Any set of ordered pairs
Horizontal

42. What does the average rate of change formula solve?
X^2
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points

43. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Undefined
(-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.

44. Is an identity function even - odd or neither?
Even
F(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd

45. What is another way of writing the absolute value function?
Y=IxI
Horizontal right
45 degree angle
The single number y=

46. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Yes - all the domains points to one range
When does a graph not define y as a function of x?
Horizontal right

47. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Zero slope
Postiive slope
The second set of components of an ordered pair

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Horizontal
Conditional
1 -2 -3
F(x+c) and f(x-c)

49. What is a domain?
Horizontal left
The first 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
The second set of components of an ordered pair

50. What type of slope do you have when the line is horizontal and m=0?
2nd catalog (zero key -) abs(x) - graph
Zero slope
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
X=a

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