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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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
M
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
Odd
Parabola - up one and right three

2. What is the domain for an absolute value function?
0<c<1 - horizontal stretching
The first set of components of an ordered pair
(-infinity - +infinity)
Yes because two x's or domains can point to one y

3. What is the range for the standard cubic function?
Math 4 x - graph
C>1 - horizontal shrinking
(-infinity - +infinity)
Piecewise

4. How are functions normally written?
The minimum or maximum points
As equations
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

5. $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?
Y=x - identity function
Perpendicular line
Y= then enter the number then press graph
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

6. What is the formula for the cube root function?
F(x)=3 square root x
Horizontal
Y=x - identity function
X math 3 graph

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A line passing through two distinct points
As many as you like
Any set of ordered pairs
The secant line

8. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
2nd key - x^2 - graph

9. What type of function would you use to calculate the most advantageous cell phone plan?
Even
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Piecewise

10. What is the formula for an absolute value function?
F(x)=3 square root x
When does a graph not define y as a function of x?
F(x)=IxI
X2-x1 because the demonaitor of a quotient can never equal zero

11. standard absolute value - horizontal shift formulas for left and right
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
F(x+c) and f(x-c)

12. Which direction does f(x-c) move
Undefined
The minimum or maximum points
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.
Horizontal right

13. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Parraelle line
Conditional
Yes because two x's or domains can point to one y

14. What is the formula for an identity function?
F(x)=suare root of x
2nd catalog (zero key -) abs(x) - graph
F(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

15. What is a domain?
Y=b
When does a graph not define y as a function of x?
The first set of components of an ordered pair
Undefined

16. What type of line is a constant function?
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
F(x)=3 square root x

17. What are the calculator instructions for the standard cubic function?
X math 3 graph
Horizontal right
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
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.

18. What are the steps for solving a word problem?
Math 4 x - graph
The minimum or maximum points
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)=suare root of x

19. What is the range of an identity function?
(-infinity - +infinity)
[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
Conditional

20. What is the domain of an identity 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.
Negative inverse
(-infinity - +infinity)
Zero slope

21. What are two examples of composit functions?
F of g and g of f
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges
Zero slope

22. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(-infinity - +infinity)
Perpendicular line
Negative slope

23. When is the only time (-infinity - +infinity) is not the domain?
C>1 - horizontal shrinking
F(x^1)=f(x^2)
In a quotient
Mirror image neg quadrant to that of the positive quandrant

24. Of the seven of algebra's common graph's how many are neither?
Square Root
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
A V

25. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
F(x)=suare root of x

26. What is the range of the constant function?
The single number y=
Y=10
In a quotient
0<c<1 - horizontal stretching

27. 4(x-7)=4x+28 is what type of an equation?
Piecewise
F(x)=x^3
Inconsitent
The second set of components of an ordered pair

28. What is the domain of the cube root function?
Y=x - identity function
(-infinity - +infinity)
Cannot be drawn in quizlet
When does a graph not define y as a function of x?

29. f(x) = x^2+3x+5 - what type of formula is this?
A V
Cannot be drawn in quizlet
Function notation
Horizontal left

30. What is the formula for the standard cubic function?
Horizontal
Line ascending to the right gradually
F(x)=x^3
Undefined

31. What is the domain and range of a constant function?
(-infinity - +infinity)
Odd
Parabola
F(x)=IxI

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

33. standard absolute value - vertical shift formulas for positve and negative
Y=x^2 - graph
Even
(-infinity - +infinity)
F(x)=+c and f(x)-c

34. What are the calculator instructions for a standard quadratic equation?
Equation of a line
Y=x^2 - graph
Three odd - cube root - identity - standard cubic
1 -2 -3

35. What can we substitute for f(x)?
As many as you like
Y
1 -2 -3
Any set of ordered pairs

36. What type of slope do you have when the line is horizontal and m=0?
Zero slope
(-infinity - +infinity)
Inconsitent
Because the demintor of a quotient can never equal zero

37. Is the standard cubic function odd - even or neither?
Odd
(-infinity - +infinity)
The slope of a line containing two points
Y=IxI

38. What is the slope of a perpendicular line?
In a quotient
Negative inverse
The second set of components of an ordered pair
Y=b

39. What is the horizontal line formula?
Y=b
Y=x^2 - graph
Parraelle line
Identity

40. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
The secant line

41. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Postiive slope

42. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Y=10
(-infinity - +infinity)
The opposite coordinates

43. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
(-infinity - +infinity)
Up
Odd

44. y=f(cx) - What does this formula represent?
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>1 - horizontal shrinking
F(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph

45. What is the domain for an absolute value function?
Neither
F(x2)-f(x1) / x2-x1
2nd key - x^2 - graph
(-infinity - +infinity)

46. What is the domain of an identity function?
0<c<1 - horizontal stretching
Only one
(-infinity - +infinity)
F(x)=IxI

47. What direction does f(x)-c move in standard absolute value formula?
Down
A line passing through two distinct points
Odd
Odd

48. Is the square root function odd - even or neither?
[0 -+infinity)
When does a graph not define y as a function of x?
[0 -+infinity)
Neither

49. What is the range for an absolute value function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20+.05x=5+.10x x=minutes
Negative inverse
(-infinity - 0]you[0 - +infinity)

50. What is the point slope formula and when do you use it?
Conditional
A V
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Absolute Value - Constant and Standard Quadratic