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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. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Odd
Mirror image neg quadrant to that of the positive quandrant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

2. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Parabola - up one and right three
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant

3. What type of slope do vertical lines have?
F of g and g of f
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
Undefined
Zero slope

4. What is the formula for an absolute value function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=IxI
45 degree angle
Undefined slope

5. What is another way of writing the absolute value function?
Y=IxI
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Postiive slope

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Function notation
4 -6 -9
Any set of ordered pairs
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.

7. What are the calculator instructions for the standard cubic function?
F(x)=x^3
X math 3 graph
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

8. What is the domain of the cube root function?
Parabola
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The secant line

9. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Down
F(x2)-f(x1) / x2-x1
4 -6 -9
Negative inverse

10. What equation does every line have? Discuss the variables.
Parabola
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.
The minimum or maximum points
Conditional

11. Is a constant function even - odd or neither?
Y= then enter the number then press graph
Horizontal
Even
Set the x and y to zero and get the intercepts and then plot the points

12. Is an identity function even - odd or neither?
Conditional
Negative slope
F(x+c) and f(x-c)
Odd

13. y=f(cx) What does this formula represent?
(-infinity - +infinity)
Equation of a line
0<c<1 - horizontal stretching
(-infinity - +infinity)

14. What is the vertical line test?
F(x^1)=f(x^2)
When does a graph not define y as a function of x?
Perpendicular line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

15. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
Identity
Inconsitent
F(x+h)-f(x)/h h cannot equal zero

16. What is the slope of a perpendicular line?
Same
Negative inverse
(f+g) - (f-g) - (fg) - (f/g) all of x
X math 3 graph

17. What is the domain and range of a constant function?
(-infinity - +infinity)
A line passing through two distinct points
The opposite coordinates
Yes because two x's or domains can point to one y

18. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=IxI
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

19. What is the vertical line formula?
X=a
Function notation
45 degree angle
Yes - all the domains points to one range

20. What is the formula for the standard cubic function?
F(x)=x^3
Horizontal right
Equation of a line
Negative inverse

21. What is a function?
Parabola - up one and right three
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.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

22. Is an identity function even - odd or neither?
F of g and g of f
Square Root
Odd
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

23. Is the square root function odd - even or neither?
Inconsitent
F(x)=+c and f(x)-c
[0 -+infinity)
Neither

24. What is the slope of a perpendicular line?
Up
C>1 - horizontal shrinking
Horizontal right
Negative inverse

25. What is the point slope formula and when do you use it?
Inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Same
When does a graph not define y as a function of x?

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Cannot be drawn in quizlet
(-infinity - +infinity)
The secant line
2nd catalog (zero key -) abs(x) - graph

27. What type of slope do you have when a line falls left to right and m<0?
Math 4 x - graph
Identity
Negative slope
Y=x - identity function

28. What are the calculator instructions for absolute value?
Even
2nd catalog (zero key -) abs(x) - graph
Horizontal
As many as you like

29. Is a standard quadratic function even - odd or neither?
F(x^1)=f(x^2)
No because you cannot have one domain pointing at two y's or ranges
Even
Set the x and y to zero and get the intercepts and then plot the points

30. Is an absolute value function even - odd or neither?
The slope of a line containing two points
Parraelle line
Even
Odd

31. How are functions normally written?
As equations
Cannot be drawn in quizlet
Same
A V

32. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Y=IxI
Because the demintor of a quotient can never equal zero
The opposite coordinates

33. What type of line is a constant function?
F(x) = x
Y=x^2 - graph
Horizontal
(-infinity - +infinity)

34. What is a function?
45 degree angle
Any set of ordered pairs
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. Of the seven of algebra's common graph's how many are odd?
4 -6 -9
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
F of g and g of f

36. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Yes - all the domains points to one range
(-infinity - +infinity)
The first set of components of an ordered pair

37. What is the average rate of change formula?
Square Root
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x2)-f(x1) / x2-x1

38. Draw or discuss an increasing function
Negative slope
Yes - all the domains points to one range
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

39. What is an identity function?
Parabola
The opposite coordinates
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

40. $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?
The opposite coordinates
Piecewise
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

41. Is a constant function even - odd or neither?
Conditional
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.

42. What is the range of an identity function?
(-infinity - +infinity)
Negative inverse
45 degree angle
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.

43. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
45 degree angle
F of g and g of f
[0 -+infinity)

44. Draw or discuss a decreasing function
[0 -+infinity)
Undefined slope
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

45. f(x) = x^2+3x+5 - what type of formula is this?
Inconsistant
Horizontal
Absolute Value - Constant and Standard Quadratic
Function notation

46. 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
The first set of components of an ordered pair
Horizontal right
Y= then enter the number then press graph

47. What type of slope do horizontal lines have?
Y
Same
Y=IxI
2nd catalog (zero key -) abs(x) - graph

48. What is the point slope formula and when do you use it?
F(x2)-f(x1) / x2-x1
F(x^1)=f(x^2)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
As many as you like

49. What is the vertex?
X = the original sale price and the formula is x - .40x =$276
F of g and g of f
The minimum or maximum points
Horizontal

50. What is a range?
The second set of components of an ordered pair
As equations
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
Horizontal