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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. Is the standard cubic function odd - even or neither?
Parabola
Odd
(-infinity - +infinity)
As equations

2. What type of function would you use to calculate the most advantageous cell phone plan?
45 degree angle
In a quotient
Conditional
Piecewise

3. What is the domain for a standard quadratic function?
(-infinity - +infinity)
The slope of a line containing two points
Down
Same

4. What type of slope do horizontal lines have?
Same
Piecewise
X = the original sale price and the formula is x - .40x =$276
[0 -+infinity)

5. What are the four steps for finding the inverse of a function?
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Because the demintor of a quotient can never equal zero
Yes because two x's or domains can point to one y

6. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=IxI
Y=x^2 - graph
1 -2 -3
(-infinity - +infinity)

7. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
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.
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Horizontal right

8. What is the point slope formula and when do you use it?
2nd catalog (zero key -) abs(x) - graph
F(x) = x
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. Is an absolute value function even - odd or neither?
Any set of ordered pairs
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Even

10. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
The single number y=
F(x)=x^3

11. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
When does a graph not define y as a function of x?
Odd

13. What are the four steps for finding the inverse of a function?
Perpendicular line
Only one
Horizontal left
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

14. $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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal left
Only one

15. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
Identity
No because you cannot have one domain pointing at two y's or ranges
Odd

16. What can never equal zero in the slope formula and why?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Neither
X2-x1 because the demonaitor of a quotient can never equal zero
2nd key - x^2 - graph

17. What shape is the standard quadratic function?
Parabola
The minimum or maximum points
Parraelle line
Cannot be drawn in quizlet

18. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
Line ascending to the right gradually
Perpendicular line
Mirror image neg quadrant to that of the positive quandrant

19. What is a relation?
A V
Horizontal right
Any set of ordered pairs
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

20. What does linear equation mean?
Equation of a line
Cannot be drawn in quizlet
Y
The secant line

21. Draw or discuss a constant function
Because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
The first set of components of an ordered pair
Cannot be drawn in quizlet

22. What are the calculator instructions for a standard quadratic equation?
Parabola - up one and right three
The first set of components of an ordered pair
Undefined
Y=x^2 - graph

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

24. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The slope of a line containing two points
X math 3 graph

25. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Three odd - cube root - identity - standard cubic
Odd
Yes - all the domains points to one range
(-infinity - 0]you[0 - +infinity)

26. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero

27. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Absolute Value - Constant and Standard Quadratic
M
In a quotient

28. What is a range?
The second set of components of an ordered pair
M
A line passing through two distinct points
Parraelle line

29. What type of slope do you have when a line rises from left to right and m>0?
The single number y=
Postiive slope
(-infinity - +infinity)
Function notation

30. What is the vertical line 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
Y=IxI
Even
X=a

31. In an identity function if f(10)=x than What is y?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Set the x and y to zero and get the intercepts and then plot the points
Horizontal left
Y=10

32. 4x+5x=8x is what type of an equation?
Yes - all the domains points to one range
Cannot be drawn in quizlet
The secant line
Conditional

33. Which direction does f(x)=+c move in standard absolute value formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X^2
Up
2nd key - x^2 - graph

34. Which direction does f(x+c) move
Horizontal left
Conditional
F(x)=+c and f(x)-c
2nd key - x^2 - graph

35. What are two examples of composit functions?
F(x)=IxI
Parabola
F of g and g of f
Negative inverse

36. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Negative inverse
The secant line
4 -6 -9
X2-x1 because the demonaitor of a quotient can never equal zero

37. What is the formula for an identity function?
The second set of components of an ordered pair
Because the demintor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
F(x) = x

38. What type of line is a constant function?
Y=IxI
Parraelle line
(-infinity - +infinity)
Horizontal

39. What is a relation?
Any set of ordered pairs
X^2
Horizontal
Y=x^2 - graph

40. What type of slope do horizontal lines have?
Same
Y=b
Identity
Y=x - identity function

41. What is another way of writing the absolute value function?
The slope of a line containing two points
Only one
Y=IxI
F(x)=IxI

42. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Square Root
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
Horizontal

43. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function notation

44. What equation does every line have? Discuss the variables.
Undefined
Conditional
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.
Any set of ordered pairs

45. x=no real numbers is what type of an equation?
Inconsistant
[0 -+infinity)
Zero slope
Equation of a line

46. Of the seven of algebra's common graph's how many are odd?
Math 4 x - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
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.

47. standard absolute value - vertical shift formulas for positve and negative
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=+c and f(x)-c
Undefined

48. How would this formula move f(x)=(x+1)^2-3
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Parabola - up one and right three
Piecewise

49. What is the formula for slope?
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI
F(x)=IxI

50. Of the seven of algebra's common graph's how many are even?
Postiive slope
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

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College Algebra Test

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