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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 30 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 range of an identity function?
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
1 -2 -3

2. What type of slope do you have when m=? and the line is vertical?
Undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1 -2 -3
No because you cannot have one domain pointing at two y's or ranges

3. How do you graph Ax+By+C=0?
Even
Even
X2-x1 because the demonaitor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points

4. When is the only time (-infinity - +infinity) is not the domain?
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x) = 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
In a quotient

5. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x
F(x+c) and f(x-c)

6. Which direction does f(x)=+c move in standard absolute value formula?
Zero slope
F(x) = x
Up
Postiive slope

7. Draw or discuss a constant function
Cannot be drawn in quizlet
X^2
F(x)=+c and f(x)-c
F(x)=+c and f(x)-c

8. x= a real number is what type of equation?
Conditional
As equations
Yes because two x's or domains can point to one y
Postiive slope

9. How are functions normally written?
4 -6 -9
(-infinity - +infinity)
As equations
When does a graph not define y as a function of x?

10. What is the domain of an identity function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Postiive slope
A line passing through two distinct points

11. What type of slope do you have when a line falls left to right and m<0?
0<c<1 - horizontal stretching
Negative slope
C>1 - horizontal shrinking
[0 -+infinity)

12. How would this formula move f(x)=(x+1)^2-3
C>1 - horizontal shrinking
F(x2)-f(x1) / x2-x1
Parabola - up one and right three
Even

13. How would this formula move f(x)=(x+1)^2-3
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
Same
Parabola - up one and right three

14. Is a constant function even - odd or neither?
Even
Parabola
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

15. Is the square root function odd - even or neither?
Neither
F(x)=x^3
F(x+c) and f(x-c)
F(x)=x^3

16. What are the calculator instructions for a square root function?
Negative slope
2nd key - x^2 - graph
Because the demintor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph

17. What is the slope of a perpendicular line?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
Y
Negative inverse

18. 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?
F(x^1)=f(x^2)
Mirror image neg quadrant to that of the positive quandrant
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

19. x=no real numbers is what type of an equation?
0<c<1 - horizontal stretching
M
Inconsistant
Piecewise

20. $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
Line ascending to the right gradually
Y=b
Math 4 x - graph

21. What does the average rate of change formula solve?
(-infinity - +infinity)
The single number y=
Piecewise
The slope of a line containing two points

22. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x

23. What is the formula for an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x) = x
Line ascending to the right gradually
Undefined

24. x=all real numbers is what type of an equation?
Cannot be drawn in quizlet
F(x)=IxI
X=a
Identity

25. What can never equal zero in the slope formula and why?
Inconsistant
X2-x1 because the demonaitor of a quotient can never equal zero
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

26. What is the vertical line formula?
Y
(-infinity - +infinity)
Negative slope
X=a

27. Is a standard quadratic function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
Inconsistant
Even
Cannot be drawn in quizlet

28. What type of line is a constant function?
F(x)=suare root of x
Horizontal
Only one
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

29. What are the calculator instructions for the cube root function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Math 4 x - graph
Yes - all the domains points to one range

30. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional

31. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola - up one and right three
F(x^1)=f(x^2)
2nd key - x^2 - graph

32. 4(x-7)=4x-28 is what type of an equation?
As equations
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.
Identity
(-infinity - +infinity)

33. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Square Root
(-infinity - +infinity)
4 -6 -9

34. How do you graph Ax+By+C=0?
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph
X2-x1 because the demonaitor of a quotient can never equal zero

35. What is the horizontal line formula?
Y=b
(-infinity - +infinity)
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
F(x^1)=f(x^2)

36. What are two examples of composit functions?
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant
F of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

37. What is the range of the constant function?
Y=b
Postiive slope
Only one
The single number y=

38. What is the formula for the standard cubic function?
F(x)=x^3
Inconsitent
Line ascending to the right gradually
(-infinity - +infinity)

39. y=f(cx) - What does this formula represent?
Identity
Because the demintor of a quotient can never equal zero
Postiive slope
C>1 - horizontal shrinking

40. What is the domain for an absolute value function?
45 degree angle
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

41. Draw or discuss an increasing function
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)
Y=x^2 - graph

42. What is the slope of a perpendicular line?
Square Root
4 -6 -9
Postiive slope
Negative inverse

43. What is the standard quadratic function?
X^2
Math 4 x - graph
Undefined slope
F(x) = x

44. What is a range?
The second set of components of an ordered pair
F(x)=x^3
4 -6 -9
F of g and g of f

45. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Inconsistant
The slope of a line containing two points
Mirror image neg quadrant to that of the positive quandrant

46. What is another way of writing the absolute value function?
Equation of a line
As equations
Y=IxI
Yes because two x's or domains can point to one y

47. What shape is the standard quadratic function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

48. What is the average rate of change formula?
Y
F(x2)-f(x1) / x2-x1
Mirror image neg quadrant to that of the positive quandrant
F(x+h)-f(x)/h h cannot equal zero

49. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Zero slope
(-infinity - +infinity)
Y= then enter the number then press graph

50. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Negative slope
Y=x - identity function
A V

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College Algebra Test

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