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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
Same
The single number y=

2. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
Up
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

3. Is a standard quadratic function even - odd or neither?
[0 -+infinity)
Even
Y=b
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.

4. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic
Piecewise

5. Of the seven of algebra's common graph's how many are neither?
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
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsitent
Square Root

6. Is an identity function even - odd or neither?
F(x+c) and f(x-c)
Even
The single number y=
Odd

7. What are the four steps for finding the inverse of a function?
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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^1)=f(x^2)

8. 4x+5x=8x is what type of an equation?
Identity
Conditional
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points

9. What is the formula in both horizontal stretching and horizontal shrinking?
2nd key - x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

10. What are the algebra of functions?
No because you cannot have one domain pointing at two y's or ranges
(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
Perpendicular line

11. Draw or discuss a decreasing function
Cannot be drawn in quizlet
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.
2nd key - x^2 - graph
Y=x^2 - graph

12. When is the only time (-infinity - +infinity) is not the domain?
Up
Square Root
In a quotient
20+.05x=5+.10x x=minutes

13. Which direction does f(x+c) move
Inconsistant
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+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left

14. What type of line is a constant function?
45 degree angle
Horizontal
Y=IxI
45 degree angle

15. What is the range of a square root function?
(-infinity - +infinity)
2nd key - x^2 - graph
(-infinity - +infinity)
[0 -+infinity)

16. What type of slope do vertical lines have?
Neither
Undefined
Y
(-infinity - +infinity)

17. x=all real numbers is what type of an equation?
F(x2)-f(x1) / x2-x1
Identity
Mirror image neg quadrant to that of the positive quandrant
F(x^1)=f(x^2)

18. What is the range of a square root function?
[0 -+infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet
(-infinity - +infinity)

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

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20. What are two examples of composit functions?
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F of g and g of f
Neither

21. What type of slope do you have when m=? and the line is vertical?
Horizontal
Three odd - cube root - identity - standard cubic
F(x)=+c and f(x)-c
Undefined slope

22. What is the letter used to represent slope?
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1
M
Parraelle line

23. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Equation of a line
4 -6 -9
F(x^1)=f(x^2)
Yes - all the domains points to one range

24. What is the range for the standard cubic function?
Perpendicular line
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Identity

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

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26. How many ranges can you have for each domain?
Parabola
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Only one

27. Draw or discuss a decreasing function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Identity
Cannot be drawn in quizlet
Negative inverse

28. What is the formula for slope?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
As equations
4 -6 -9

29. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
The opposite coordinates
Y=x^2 - graph
Because the demintor of a quotient can never equal zero

30. What is a range?
Horizontal right
Perpendicular line
As equations
The second set of components of an ordered pair

31. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Only one
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
(-infinity - +infinity)

32. Is an absolute value function even - odd or neither?
A line passing through two distinct points
Odd
Y=x - identity function
Even

33. What is a constant function?
(-infinity - 0]you[0 - +infinity)
Only one
F(x^1)=f(x^2)
(-infinity - +infinity)

34. 4(x-7)=4x-28 is what type of an equation?
Parraelle line
Inconsistant
Identity
Y= then enter the number then press graph

35. What are two examples of composit functions?
Three odd - cube root - identity - standard cubic
F of g and g of f
Approach neg toward x through zero and above positive close to x
X=a

36. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

37. What direction does f(x)-c move in standard absolute value formula?
Down
Piecewise
Set the x and y to zero and get the intercepts and then plot the points
Y= then enter the number then press graph

38. What type of slope do you have when m=? and the line is vertical?
Undefined slope
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
Parabola - up one and right three
The slope of a line containing two points

39. What can we substitute for f(x)?
X math 3 graph
Odd
Y
Mirror image neg quadrant to that of the positive quandrant

40. Two vertical lines side by side are a symbol for what
[0 -+infinity)
(-infinity - +infinity)
As equations
Parraelle line

41. What is the range for a standard quadratic function?
4 -6 -9
The secant line
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

42. What is the vertex?
Absolute Value - Constant and Standard Quadratic
Only one
The minimum or maximum points
F(x+c) and f(x-c)

43. What does the standard cubic function look like on a graph?
Horizontal
Mirror image neg quadrant to that of the positive quandrant
Piecewise
(-infinity - +infinity)

44. What equation does every line have? Discuss the variables.
Y=IxI
Y= then enter the number then press graph
(-infinity - +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.

45. What is the range for the standard cubic function?
(-infinity - +infinity)
Yes - all the domains points to one range
Even
X2-x1 because the demonaitor of a quotient can never equal zero

46. What does the absolute value function look like?
A line passing through two distinct points
A V
Piecewise
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

47. What is the range of the constant function?
The first set of components of an ordered pair
Yes - all the domains points to one range
The single number y=
A line passing through two distinct points

48. What is a domain?
The first set of components of an ordered pair
Zero slope
F of g and g of f
The slope of a line containing two points

49. What type of line is an identity function?
[0 -+infinity)
45 degree angle
(-infinity - 0]you[0 - +infinity)
M

50. How do you graph Ax+By+C=0?
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse