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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. 4(x-7)=4x-28 is what type of an equation?
F(x)=IxI
Identity
C>1 - horizontal shrinking
X^2

2. What does the average rate of change formula solve?
The slope of a line containing two points
[0 -+infinity)
Negative slope
Equation of a line

3. What is a function?
A V
0<c<1 - horizontal stretching
X=a
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
When does a graph not define y as a function of x?
Line ascending to the right gradually

5. What are the steps for solving a word problem?
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
2nd key - x^2 - graph
Even
Odd

6. What type of slope do you have when m=? and the line is vertical?
Undefined slope
(-infinity - +infinity)
Horizontal left
Parraelle line

7. What type of line is a constant function?
Horizontal
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
F(x) = x

8. What is the range of the constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsistant
(-infinity - +infinity)
The single number y=

9. Is a constant function even - odd or neither?
Even
F(x)=IxI
Approach neg toward x through zero and above positive close to x
Horizontal right

10. What is the range for a standard quadratic function?
Piecewise
As many as you like
(-infinity - 0]you[0 - +infinity)
The single number y=

11. What is the domain of the cube root function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Y
Undefined

12. What is slope?
45 degree angle
Same
2nd key - x^2 - graph
A line passing through two distinct points

13. What is the range of the constant function?
F(x)=IxI
The single number y=
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=a

14. What is the range for a standard quadratic function?
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20+.05x=5+.10x x=minutes

15. 4(x-7)=4x-28 is what type of an equation?
Identity
Y=b
(-infinity - +infinity)
Undefined slope

16. What is the domain for an absolute value function?
F(x)=x^3
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

17. What type of slope do you have when m=? and the line is vertical?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Up
F(x) = x
Undefined slope

18. What are the calculator instructions for the standard cubic function?
X math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
(-infinity - 0]you[0 - +infinity)

19. What is the point slope formula and when do you use it?
Identity
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X = the original sale price and the formula is x - .40x =$276

20. When is the only time (-infinity - +infinity) is not the domain?
Conditional
In a quotient
(-infinity - +infinity)
Square Root

21. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
In a quotient
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic

22. What is the horizontal line formula?
Even
Y=b
Y= then enter the number then press graph
A V

23. Is the square root function odd - even or neither?
Neither
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking
Line ascending to the right gradually

24. Is a standard quadratic function even - odd or neither?
Neither
X=a
Horizontal
Even

25. standard absolute value - vertical shift formulas for positve and negative
Function notation
F(x)=+c and f(x)-c
(-infinity - 0]you[0 - +infinity)
Postiive slope

26. What type of slope do you have when the line is horizontal and m=0?
Any set of ordered pairs
Conditional
(-infinity - +infinity)
Zero slope

27. Which direction does f(x+c) move
Horizontal left
Change in y / change in x = rise / run = y2-y1 / x2-x1
Down
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

28. What is another way to write f(x)=x - what type of function is this?
Piecewise
Same
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero

29. What is the range of an identity function?
When does a graph not define y as a function of x?
F(x)=3 square root x
Any set of ordered pairs
(-infinity - +infinity)

30. What is a constant function?
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
F(x) = x
The minimum or maximum points

31. Is an identity function even - odd or neither?
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Because the demintor of a quotient can never equal zero
Any set of ordered pairs

32. 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
Approach neg toward x through zero and above positive close to x
Up
F(x^1)=f(x^2)

33. What are the four steps for solving a linear equation?
When does a graph not define y as a function of x?
Only one
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 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

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

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35. What is the line called that illustrates the straight line between the two points when showing average rate of change?
0<c<1 - horizontal stretching
The secant line
(-infinity - 0]you[0 - +infinity)
X=a

36. What is the domain of the cube root function?
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
Same
(-infinity - +infinity)
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.

37. How do you calculate a constant function in your calculator?
(-infinity - +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
Y= then enter the number then press graph
F(x)=+c and f(x)-c

38. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Square Root
F(x)=IxI
4 -6 -9
Inconsitent

39. What type of slope do horizontal lines have?
Y=x^2 - graph
Same
(-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.

40. What is a constant function?
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
F(x^1)=f(x^2)

41. What is the formula in both horizontal stretching and horizontal shrinking?
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes
F(x2)-f(x1) / x2-x1
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

42. Draw or discuss an increasing function
45 degree angle
Cannot be drawn in quizlet
F(x)=IxI
F(x) = x

43. 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
Identity
Yes - all the domains points to one range
The single number y=

44. Is a standard quadratic function even - odd or neither?
Horizontal
The secant line
Even
Function notation

45. $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)
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

46. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Y=IxI
Yes because two x's or domains can point to one y
C>1 - horizontal shrinking

47. 4x+5x=8x is what type of an equation?
F(x) = x
(-infinity - +infinity)
Conditional
Same

48. Which direction does f(x-c) move
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
Horizontal right
Odd

49. How many ranges can you have for each domain?
Only one
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

50. What is a relation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)
Identity
Any set of ordered pairs