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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. How are functions normally written?
Even
The opposite coordinates
As equations
F of g and g of f

2. How do you graph Ax+By+C=0?
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
Line ascending to the right gradually

3. 4(x-7)=4x-28 is what type of an equation?
As equations
Perpendicular line
Zero slope
Identity

4. What is the range of an identity function?
Neither
The first set of components of an ordered pair
(-infinity - +infinity)
Parabola - up one and right three

5. What is a constant function?
Same
F(x) = x
F(x^1)=f(x^2)
(-infinity - +infinity)

6. What does linear equation mean?
In a quotient
Yes because two x's or domains can point to one y
Equation of a line
Yes because two x's or domains can point to one y

7. Is the standard cubic function odd - even or neither?
Because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)
Odd

8. Which direction does f(x)=+c move in standard absolute value formula?
Absolute Value - Constant and Standard Quadratic
Up
Line ascending to the right gradually
Odd

9. How do you calculate a constant function in your calculator?
2nd catalog (zero key -) abs(x) - graph
Approach neg toward x through zero and above positive close to x
Y= then enter the number then press graph
F(x)=suare root of x

10. Which direction does f(x)=+c move in standard absolute value formula?
Horizontal
As many as you like
Up
Even

11. What is the range for an absolute value function?
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
X math 3 graph
Horizontal right

12. What type of slope do you have when the line is horizontal and m=0?
Zero slope
F(x)=+c and f(x)-c
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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
The secant line
Undefined
(-infinity - +infinity)

14. Two vertical lines side by side are a symbol for what
Parraelle line
Cannot be drawn in quizlet
Horizontal left
Up

15. What type of slope do horizontal lines have?
X=a
Same
X math 3 graph
Odd

16. Draw or discuss a constant 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.
Because the demintor of a quotient can never equal zero
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

17. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - +infinity)
Undefined slope
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

18. Of the seven of algebra's common graph's how many are even?
45 degree angle
The opposite coordinates
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
Absolute Value - Constant and Standard Quadratic

19. What is the letter used to represent slope?
Same
M
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

20. What is the domain of the cube root function?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
F(x^1)=f(x^2)
Cannot be drawn in quizlet

21. What does the standard cubic function look like on a graph?
Y=x - identity function
Odd
Mirror image neg quadrant to that of the positive quandrant
No because you cannot have one domain pointing at two y's or ranges

22. x= a real number is what type of equation?
Conditional
Undefined
X math 3 graph
Negative slope

23. What are the calculator instructions for absolute value?
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 catalog (zero key -) abs(x) - graph
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
M

24. What type of slope do you have when m=? and the line is vertical?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
Yes because two x's or domains can point to one y
Undefined slope

25. What is the range of the cube root function?
Odd
(-infinity - +infinity)
The secant line
Same

26. What is the formula for the standard cubic function?
F(x)=x^3
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
Inconsistant

27. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
F(x)=x^3
Inconsistant
Y=x^2 - graph

28. What is the domain for the standard cubic function?
F(x)=suare root of x
Math 4 x - graph
(-infinity - +infinity)
F(x+c) and f(x-c)

29. Is an absolute value function even - odd or neither?
Even
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Parabola

30. What type of line is a constant function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Piecewise
Horizontal
Y=IxI

31. What direction does f(x)-c move in standard absolute value formula?
Down
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Same

32. In an identity function if f(10)=x than What is y?
(-infinity - 0]you[0 - +infinity)
Down
Perpendicular line
Y=10

33. What are the calculator instructions for a standard quadratic equation?
In a quotient
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Up
Y=x^2 - graph

34. Two vertical lines side by side are a symbol for what
Parraelle line
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined slope

35. What is the formula in both horizontal stretching and horizontal shrinking?
45 degree angle
20+.05x=5+.10x x=minutes
Inconsitent
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Parabola
X=a
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

37. What are the steps for solving a word problem?
The minimum or maximum points
The minimum or maximum points
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
Change in y / change in x = rise / run = y2-y1 / x2-x1

38. What is a relation?
4 -6 -9
Even
Any set of ordered pairs
F(x)=3 square root x

39. What is the domain of a square root function?
Y
Any set of ordered pairs
[0 -+infinity)
The second set of components of an ordered pair

40. What is the domain for an absolute value function?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x - identity function
Perpendicular line

41. What does the absolute value function look like?
A V
Odd
Inconsitent
Horizontal

42. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y=IxI
Y=x^2 - graph
Down
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant
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

44. What is the domain for the standard cubic function?
Conditional
(-infinity - +infinity)
Conditional
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

45. How many domains can you have pointing to one range?
As many as you like
F(x2)-f(x1) / x2-x1
No because you cannot have one domain pointing at two y's or ranges
Any set of ordered pairs

46. What is the range of an identity function?
(-infinity - +infinity)
Equation of a line
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

47. How many ranges can you have for each domain?
Cannot be drawn in quizlet
Only one
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y

48. What is the standard quadratic function?
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)
X^2
(-infinity - 0]you[0 - +infinity)

49. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Inconsistant
Horizontal right
Piecewise

50. What type of line is an identity function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M
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
45 degree angle