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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 average rate of change formula?
X math 3 graph
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
When does a graph not define y as a function of x?

2. What are the algebra of functions?
Cannot be drawn in quizlet
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

3. 4(x-7)=4x-28 is what type of an equation?
Square Root
A line passing through two distinct points
Identity
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. What is the domain and range of a constant function?
Only one
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
X math 3 graph

5. What type of line is a constant function?
X math 3 graph
The slope of a line containing two points
(-infinity - +infinity)
Horizontal

6. What is the domain for the standard cubic function?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
45 degree angle
Parabola - up one and right three

7. What can we substitute for f(x)?
Y
Conditional
Same
[0 -+infinity)

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal
45 degree angle

9. What does the graph of the cube root function look like on the graph?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

10. Is an absolute value function even - odd or neither?
Negative inverse
Even
Absolute Value - Constant and Standard Quadratic
As equations

11. What is a constant function?
Negative inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F of g and g of f
F(x^1)=f(x^2)

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

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13. What is the formula for the square root function?
Y
F(x)=suare root of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph

14. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
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
Even

15. What can never equal zero in the slope formula and why?
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
(-infinity - +infinity)

16. What is a function?
F(x^1)=f(x^2)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X2-x1 because the demonaitor of a quotient can never equal zero

17. What is slope?
A line passing through two distinct 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
F(x+h)-f(x)/h h cannot equal zero
Y

18. What is the domain for an absolute value function?
(-infinity - +infinity)
Conditional
When does a graph not define y as a function of x?
Perpendicular line

19. What is the range of a square root function?
4 -6 -9
Even
1 -2 -3
[0 -+infinity)

20. What are the steps for solving a word problem?
Parabola - up one and right three
(-infinity - 0]you[0 - +infinity)
Yes because two x's or domains can point to one y
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

21. What type of line is a constant function?
Horizontal
Y= then enter the number then press graph
As equations
Perpendicular line

22. What direction does f(x)-c move in standard absolute value formula?
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.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Down
2nd catalog (zero key -) abs(x) - graph

23. What is a relation?
Any set of ordered pairs
Conditional
20+.05x=5+.10x x=minutes
No because you cannot have one domain pointing at two y's or ranges

24. What is the horizontal line formula?
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points
Y=b
F(x2)-f(x1) / x2-x1

25. What does the average rate of change formula solve?
The second set of components of an ordered pair
The slope of a line containing two points
F(x)=suare root of x
Horizontal

26. What are the calculator instructions for the standard cubic function?
F(x)=+c and f(x)-c
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X math 3 graph

27. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
The slope of a line containing two points
Undefined
4 -6 -9

28. 4(x-7)=4x+28 is what type of an equation?
As many as you like
Inconsitent
C>1 - horizontal shrinking
Y= then enter the number then press graph

29. What is the formula for an identity function?
F(x) = x
(-infinity - +infinity)
Yes - all the domains points to one range
The secant line

30. How would this formula move f(x)=(x+1)^2-3
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
Parabola - up one and right three
F(x)=3 square root x

31. What is a constant function?
F(x^1)=f(x^2)
As equations
The single number y=
45 degree angle

32. How do you graph Ax+By+C=0?
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 single number y=
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet

33. What can we substitute for f(x)?
20+.05x=5+.10x x=minutes
Y
Line ascending to the right gradually
As many as you like

34. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
The secant line
Conditional
Yes - all the domains points to one range
Y=x - identity function

35. What is another way to write f(x)=x - what type of function is this?
Cannot be drawn in quizlet
Undefined
Y=x - identity function
Y= then enter the number then press graph

36. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
As equations
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. What type of slope do you have when a line rises from left to right and m>0?
C>1 - horizontal shrinking
Yes because two x's or domains can point to one y
Parabola - up one and right three
Postiive slope

38. In an identity function if f(10)=x than What is y?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=10
Conditional
Odd

39. What is the domain of the cube root function?
Identity
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal

40. standard absolute value - vertical shift formulas for positve and negative
Line ascending to the right gradually
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)=+c and f(x)-c
F(x^1)=f(x^2)

41. x=all real numbers is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
Yes because two x's or domains can point to one y
F(x)=IxI
Identity

42. 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+g) - (f-g) - (fg) - (f/g) all of x
Equation of a line
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=+c and f(x)-c

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
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
Yes - all the domains points to one range
Y=x - identity function
Perpendicular line

44. What type of line is a constant function?
Y=x^2 - graph
Horizontal
Same
Three odd - cube root - identity - standard cubic

45. 4(x-7)=4x+28 is what type of an equation?
Even
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x

46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x2)-f(x1) / x2-x1
X = the original sale price and the formula is x - .40x =$276
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

47. Which direction does f(x)=+c move in standard absolute value formula?
F(x)=+c and f(x)-c
Up
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant

48. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - +infinity)
F(x) = x
Even

49. What is an identity function?
Y= then enter the number then press graph
45 degree angle
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

50. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
F(x)=suare root of x
Perpendicular line
(-infinity - +infinity)