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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 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
Undefined slope
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.
X=a

2. Which direction does f(x)=+c move in standard absolute value formula?
X2-x1 because the demonaitor of a quotient can never equal zero
Up
Line ascending to the right gradually
The minimum or maximum points

3. What is the range for the standard cubic function?
(-infinity - +infinity)
Conditional
F of g and g of f
Y=b

4. What type of line is an identity function?
Inconsistant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
In a quotient

5. What is the slope of a perpendicular line?
Line ascending to the right gradually
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
Negative inverse

6. Two vertical lines side by side are a symbol for what
Parraelle line
Perpendicular line
F(x)=x^3
Yes - all the domains points to one range

7. What type of slope do horizontal lines have?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal right
Same
The opposite coordinates

8. What is a range?
2nd catalog (zero key -) abs(x) - graph
No because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair
Odd

9. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
X=a
Yes because two x's or domains can point to one y
[0 -+infinity)

10. $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?
(-infinity - 0]you[0 - +infinity)
Only one
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
Horizontal left

11. What type of slope do you have when a line rises from left to right and m>0?
0<c<1 - horizontal stretching
Postiive slope
Neither
Horizontal right

12. What is the formula in both horizontal stretching and horizontal shrinking?
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
Parraelle line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

13. Is a constant function even - odd or neither?
Even
Horizontal left
Line ascending to the right gradually
4 -6 -9

14. A flat line underlining one vertical line is a symbol for...
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)
Horizontal
Perpendicular line

15. What is another way to write f(x)=x - what type of function is this?
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.
Y=x - identity function
Approach neg toward x through zero and above positive close to x
As many as you like

16. What type of slope do you have when m=? and the line is vertical?
[0 -+infinity)
Y=x - identity function
Undefined slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

17. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
As many as you like
Line ascending to the right gradually

18. What is the range for a standard quadratic function?
Even
(-infinity - 0]you[0 - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Odd

19. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Perpendicular line
Even

20. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Y=x^2 - graph
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)

21. In an identity function if f(10)=x than What is y?
Y=x^2 - graph
No because you cannot have one domain pointing at two y's or ranges
Y=10
Math 4 x - graph

22. How do you graph Ax+By+C=0?
Undefined
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Even

23. How are functions normally written?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal right
As equations
20+.05x=5+.10x x=minutes

24. Of the seven of algebra's common graph's how many are neither?
The first set of components of an ordered pair
Square Root
Because the demintor of a quotient can never equal zero
[0 -+infinity)

25. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Up
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

26. What points do you use to plot the inverse on a graph?
1 -2 -3
(-infinity - 0]you[0 - +infinity)
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
The opposite coordinates

27. What type of slope do horizontal lines have?
Y=10
Odd
4 -6 -9
Same

28. What is the average rate of change formula?
The single number y=
Neither
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1

29. What are the calculator instructions for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Even
X math 3 graph

30. What are two examples of composit functions?
F of g and g of f
Y=IxI
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
Cannot be drawn in quizlet

31. What is the range of a square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
A V
[0 -+infinity)
Inconsitent

32. Which direction does f(x+c) move
Down
Horizontal left
Square Root
Y=IxI

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

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34. What type of function would you use to calculate the most advantageous cell phone plan?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parraelle line
A V
Piecewise

35. What is the formula for the standard cubic function?
F(x)=x^3
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
X math 3 graph

36. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Horizontal right
The opposite coordinates
Zero slope
20+.05x=5+.10x x=minutes

37. What are the steps for solving a word problem?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Odd
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
1 -2 -3

38. Two vertical lines side by side are a symbol for what
Neither
Y
Parraelle line
Even

39. x=no real numbers is what type of an equation?
Approach neg toward x through zero and above positive close to x
In a quotient
Inconsistant
Three odd - cube root - identity - standard cubic

40. What are the four steps for solving a linear equation?
Approach neg toward x through zero and above positive close to x
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.
Mirror image neg quadrant to that of the positive quandrant
Perpendicular line

41. 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?
Inconsistant
Y=10
X is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x

42. What is the average rate of change formula?
X = the original sale price and the formula is x - .40x =$276
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(x2)-f(x1) / x2-x1
Line ascending to the right gradually

43. What is the range of the cube root function?
(-infinity - +infinity)
F(x+c) and f(x-c)
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

44. What is the range of the constant function?
Any set of ordered pairs
The single number y=
Even
Square Root

45. What does the absolute value function look like?
F(x)=x^3
A V
X^2
Odd

46. What type of slope do you have when a line falls left to right and m<0?
Only one
X2-x1 because the demonaitor of a quotient can never equal zero
Negative slope
F(x)=IxI

47. What is the formula for to calculate the difference of a quotient function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
F(x+h)-f(x)/h h cannot equal zero

48. What is the domain for an absolute value function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Even

49. How are functions normally written?
The first set of components of an ordered pair
Negative inverse
M
As equations

50. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x
F of g and g of f
0<c<1 - horizontal stretching

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College Algebra Test

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