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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 formula in both horizontal stretching and horizontal shrinking?
Y=b
X=a
1 -2 -3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

2. How many domains can you have pointing to one range?
F(x)=IxI
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
As many as you like

3. What is a range?
The second set of components of an ordered pair
Yes - all the domains points to one range
(-infinity - +infinity)
X^2

4. What is the formula for to calculate the difference of a quotient function?
Y=b
F(x+h)-f(x)/h h cannot equal zero
F(x)=+c and f(x)-c
Even

5. What is another way of writing the absolute value function?
F(x^1)=f(x^2)
Y=IxI
F(x)=IxI
(-infinity - +infinity)

6. Two vertical lines side by side are a symbol for what
Up
Parraelle line
The second set of components of an ordered pair
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.

7. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Line ascending to the right gradually
F(x)=3 square root x
X=a
20+.05x=5+.10x x=minutes

8. What is the domain of a square root function?
Because the demintor of a quotient can never equal zero
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
Conditional
[0 -+infinity)

9. What type of slope do you have when the line is horizontal and m=0?
X is the hours to repair the boat. $1603-532=anwser/63 = x
As equations
Zero slope
X^2

10. What is the horizontal line formula?
F(x)=IxI
Y=b
45 degree angle
Neither

11. What is the vertical line formula?
Mirror image neg quadrant to that of the positive quandrant
X=a
Negative inverse
The opposite coordinates

12. What is a range?
The minimum or maximum points
(-infinity - +infinity)
The second set of components of an ordered pair
Horizontal

13. What is the formula in both horizontal stretching and horizontal shrinking?
Parraelle line
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

14. What type of line is an identity function?
Conditional
Y
Cannot be drawn in quizlet
45 degree angle

15. f(x) = x^2+3x+5 - what type of formula is this?
Set the x and y to zero and get the intercepts and then plot the points
Inconsitent
Function notation
Undefined

16. What are the four steps for solving a linear equation?
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.
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
Horizontal

17. What is the formula for the square root function?
F(x)=suare root of x
Undefined slope
Perpendicular line
Y=x^2 - graph

18. Is an absolute value function even - odd or neither?
1 -2 -3
2nd catalog (zero key -) abs(x) - graph
Postiive slope
Even

19. What is the point slope formula and when do you use it?
Piecewise
Y=x - identity function
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

20. Which direction does f(x)=+c move in standard absolute value formula?
Perpendicular line
Up
In a quotient
M

21. How are functions normally written?
Undefined
Three odd - cube root - identity - standard cubic
[0 -+infinity)
As equations

22. Which direction does f(x-c) move
The opposite coordinates
Horizontal right
Piecewise
Negative inverse

23. What are the calculator instructions for a standard quadratic equation?
Equation of a line
2nd key - x^2 - graph
Y=x^2 - graph
Undefined

24. What type of slope do vertical lines have?
Inconsistant
Negative inverse
F(x)=IxI
Undefined

25. What type of slope do you have when a line falls left to right and m<0?
Negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x - identity function
Postiive slope

26. What is the range for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
Math 4 x - graph
(-infinity - +infinity)

27. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
F(x)=x^3
Undefined slope
F(x)=+c and f(x)-c

28. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
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
Zero slope
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276

29. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
Undefined
Set the x and y to zero and get the intercepts and then plot the points

30. Why can h not equal zero in the difference of a quotient function formula?
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.
Set the x and y to zero and get the intercepts and then plot the points
Negative inverse
Because the demintor of a quotient can never equal zero

31. What is the range of the cube root function?
(-infinity - +infinity)
F(x+c) and f(x-c)
F(x)=x^3
X2-x1 because the demonaitor of a quotient can never equal zero

32. In an identity function if f(10)=x than What is y?
Y=10
F of g and g of f
F(x)=+c and f(x)-c
As many as you like

33. What is a domain?
As equations
When does a graph not define y as a function of x?
The first set of components of an ordered pair
1 -2 -3

34. What is the letter used to represent slope?
Up
Approach neg toward x through zero and above positive close to x
M
The secant line

35. How do you calculate a constant function in your calculator?
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
Y= then enter the number then press graph
Odd
Neither

36. What is the formula for an absolute value function?
The secant line
F(x)=IxI
A V
(-infinity - +infinity)

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
(-infinity - +infinity)
F(x^1)=f(x^2)
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

38. 4x+5x=8x is what type of an equation?
Mirror image neg quadrant to that of the positive quandrant
Conditional
F(x) = x
Inconsistant

39. What are the algebra of functions?
Horizontal left
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=b
The first set of components of an ordered pair

40. What is the domain of an identity function?
No because you cannot have one domain pointing at two y's or ranges
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
4 -6 -9

41. y=f(cx) - What does this formula represent?
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
C>1 - horizontal shrinking
In a quotient
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

42. What is the letter used to represent slope?
(-infinity - +infinity)
M
Cannot be drawn in quizlet
Y=x^2 - graph

43. What is a domain?
F(x)=3 square root x
Math 4 x - graph
The first set of components of an ordered pair
Only one

44. What is the domain for the standard cubic function?
Math 4 x - graph
A V
Cannot be drawn in quizlet
(-infinity - +infinity)

45. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Even
Yes because two x's or domains can point to one y
Odd

46. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
F(x^1)=f(x^2)
Odd
Neither

47. What direction does f(x)-c move in standard absolute value formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
Down
Horizontal left

48. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
Identity
As equations
The slope of a line containing two points

49. What is the vertical line test?
When does a graph not define y as a function of x?
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
Neither
A line passing through two distinct points

50. Is a constant function even - odd or neither?
Yes - all the domains points to one range
Even
Inconsitent
Y=b

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College Algebra Test

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