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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?
Function notation
The slope of a line containing two points
The opposite coordinates
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

2. What is the formula for the standard cubic function?
The secant line
F(x)=x^3
C>1 - horizontal shrinking
Inconsistant

3. What type of line is a constant function?
45 degree angle
Cannot be drawn in quizlet
Horizontal
The minimum or maximum points

4. What are the calculator instructions for absolute value?
Postiive slope
X math 3 graph
2nd catalog (zero key -) abs(x) - graph
F(x2)-f(x1) / x2-x1

5. What is the range 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
Parabola - up one and right three
Odd

6. What is a domain?
Negative slope
(-infinity - +infinity)
The first set of components of an ordered pair
(-infinity - +infinity)

7. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
Parraelle line
Set the x and y to zero and get the intercepts and then plot the points
Perpendicular line

8. How are functions normally written?
Horizontal right
As equations
(-infinity - +infinity)
(-infinity - +infinity)

9. 4(x-7)=4x-28 is what type of an equation?
Parabola
Identity
Y=b
Down

10. Is a standard quadratic function even - odd or neither?
Parabola
Even
Postiive slope
(-infinity - +infinity)

11. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x)=3 square root x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A V

12. Draw or discuss a constant function
Cannot be drawn in quizlet
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
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

13. What is the domain of the cube root function?
Horizontal right
(-infinity - +infinity)
F of g and g of f
Same

14. What does the standard cubic function look like on a graph?
Even
Mirror image neg quadrant to that of the positive quandrant
M
In a quotient

15. What does the average rate of change formula solve?
(-infinity - +infinity)
Undefined slope
Function notation
The slope of a line containing two points

16. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The minimum or maximum points
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
X2-x1 because the demonaitor of a quotient can never equal zero
Even

17. What are the steps for solving a word problem?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-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
45 degree angle

18. Draw or discuss an increasing function
F(x+c) and f(x-c)
Cannot be drawn in quizlet
Parraelle line
Square Root

19. What is the formula for slope?
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. What are the calculator instructions for absolute value?
Conditional
Y
2nd catalog (zero key -) abs(x) - graph
In a quotient

21. What is the range of an identity function?
(-infinity - +infinity)
Horizontal
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
F(x)=3 square root x

22. What is the domain for a standard quadratic function?
The slope of a line containing two points
A V
(-infinity - +infinity)
Parabola - up one and right three

23. standard absolute value - vertical shift formulas for positve and negative
F(x2)-f(x1) / x2-x1
M
Same
F(x)=+c and f(x)-c

24. Which direction does f(x+c) move
Function notation
Horizontal left
Conditional
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.

25. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
F(x)=IxI
Y

26. Is an absolute value function even - odd or neither?
F(x2)-f(x1) / x2-x1
Parabola - up one and right three
F(x)=x^3
Even

27. What is the vertical line formula?
45 degree angle
X=a
The secant line
As equations

28. What is a relation?
Any set of ordered pairs
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x^1)=f(x^2)

29. What is the horizontal line formula?
F(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
Y=b

30. What is a constant function?
F(x) = x
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
F(x^1)=f(x^2)

31. standard absolute value - vertical shift formulas for positve and negative
Y=IxI
Even
Negative slope
F(x)=+c and f(x)-c

32. What is the vertical line test?
Horizontal
When does a graph not define y as a function of x?
The single number y=
Three odd - cube root - identity - standard cubic

33. Draw or discuss a constant function
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
Even
Up
Cannot be drawn in quizlet

34. 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 = the original sale price and the formula is x - .40x =$276
Even
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

35. What is a range?
F(x)=IxI
The second set of components of an ordered pair
(-infinity - +infinity)
Down

36. What equation does every line have? Discuss the variables.
[0 -+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.
Parabola - up one and right three
F(x)=x^3

37. What does the square root function look like on a graph?
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph
In a quotient
Identity

38. What is the standard quadratic function?
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic
X^2

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
(-infinity - +infinity)
(-infinity - +infinity)
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.

40. What is a domain?
The single number y=
Zero slope
The first set of components of an ordered pair
Only one

41. What is the range of the cube root function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph
Square Root

42. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
F(x) = x
X2-x1 because the demonaitor of a quotient can never equal zero
Because the demintor of a quotient can never equal zero

43. Which direction does f(x+c) move
Negative slope
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal left

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

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

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46. standard absolute value - horizontal shift formulas for left and right
Zero slope
F(x2)-f(x1) / x2-x1
F(x+c) and f(x-c)
45 degree angle

47. What type of slope do you have when the line is horizontal and m=0?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
Equation of a line
Identity

48. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
Same
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

49. What type of slope do vertical lines have?
Parabola
The slope of a line containing two points
[0 -+infinity)
Undefined

50. What is the vertical line test?
1 -2 -3
When does a graph not define y as a function of x?
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.
Piecewise

Can you answer 50 questions in 15 minutes?

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College Algebra Test

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