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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 formula for slope?
Undefined slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet

2. What type of line is a constant function?
Y=b
Horizontal
Cannot be drawn in quizlet
(-infinity - +infinity)

3. What shape is the standard quadratic function?
Parabola
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Equation of a line
Cannot be drawn in quizlet

4. What is the domain of an identity function?
(-infinity - +infinity)
4 -6 -9
Y=x - identity function
1 -2 -3

5. Which direction does f(x)=+c move in standard absolute value formula?
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=
The second set of components of an ordered pair

6. What is the domain for a standard quadratic function?
Horizontal right
(-infinity - +infinity)
Same
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.

7. What is the domain of the cube root function?
(-infinity - +infinity)
As many as you like
Odd
Negative slope

8. What is the range of the cube root function?
Perpendicular 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
Parabola
(-infinity - +infinity)

9. Draw or discuss an increasing function
Horizontal
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.
Equation of a line
Cannot be drawn in quizlet

10. 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
Yes because two x's or domains can point to one y
Set the x and y to zero and get the intercepts and then plot the points
F(x)=suare root of x

11. What is the range of the constant function?
Any set of ordered pairs
Cannot be drawn in quizlet
The single number y=
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

12. What is the range for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
C>1 - horizontal shrinking
(-infinity - +infinity)

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
The slope of a line containing two points
F(x)=+c and f(x)-c
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent

14. What does the square root function look like on a graph?
Line ascending to the right gradually
C>1 - horizontal shrinking
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=x - identity function

15. What is the vertex?
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Equation of a line
F(x+h)-f(x)/h h cannot equal zero

16. In an identity function if f(10)=x than What is y?
The single number y=
Y=10
F(x)=x^3
2nd key - x^2 - graph

17. What is the formula for the cube root function?
Absolute Value - Constant and Standard Quadratic
M
As many as you like
F(x)=3 square root x

18. How are functions normally written?
Perpendicular line
F(x+c) and f(x-c)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As equations

19. What is the point slope formula and when do you use it?
Inconsitent
Horizontal right
Any set of ordered pairs
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

20. What is the vertical line formula?
Y=x^2 - graph
Only one
Line ascending to the right gradually
X=a

21. 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
(-infinity - +infinity)
Parabola - up one and right three
2nd catalog (zero key -) abs(x) - graph

22. What is the formula for the standard cubic function?
M
Y
F(x)=x^3
(-infinity - +infinity)

23. What is a relation?
M
Inconsistant
Any set of ordered pairs
Undefined slope

24. When is the only time (-infinity - +infinity) is not the domain?
Zero slope
45 degree angle
C>1 - horizontal shrinking
In a quotient

25. What type of line is an identity function?
F(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph
Line ascending to the right gradually
45 degree angle

26. x= a real number is what type of equation?
X = the original sale price and the formula is x - .40x =$276
Only one
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
Conditional

27. A flat line underlining one vertical line is a symbol for...
Perpendicular line
X math 3 graph
Y= then enter the number then press graph
(-infinity - 0]you[0 - +infinity)

28. What equation does every line have? Discuss the variables.
Y=b
1 -2 -3
45 degree angle
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.

29. Two vertical lines side by side are a symbol for what
F(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parraelle line
F(x)=IxI

30. What are the calculator instructions for the cube root function?
Even
Math 4 x - graph
As many as you like
F(x+h)-f(x)/h h cannot equal zero

31. What is the formula for an identity function?
The minimum or maximum points
F(x)=x^3
F(x) = x
Absolute Value - Constant and Standard Quadratic

32. What does linear equation mean?
Y=x - identity function
Y
Same
Equation of a line

33. x= a real number is what type of equation?
The secant line
Conditional
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

34. How do you calculate a constant function in your calculator?
Undefined slope
Undefined slope
F(x2)-f(x1) / x2-x1
Y= then enter the number then press graph

35. What is the slope of a perpendicular line?
M
Negative inverse
Y= then enter the number then press graph
When does a graph not define y as a function of x?

36. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Parraelle line
Y=IxI

37. What type of line is a constant function?
Same
Horizontal
Neither
[0 -+infinity)

38. What is the domain of the cube root function?
(-infinity - +infinity)
Y=10
A V
C>1 - horizontal shrinking

39. What is the range of an identity function?
(-infinity - +infinity)
Y=x^2 - graph
Yes because two x's or domains can point to one y
X^2

40. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Neither
Undefined
(-infinity - +infinity)
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

41. Draw or discuss a constant function
2nd key - x^2 - graph
Cannot be drawn in quizlet
The second set of components of an ordered pair
Undefined slope

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

43. What is the average rate of change formula?
The second set of components of an ordered pair
F(x2)-f(x1) / x2-x1
As equations
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

44. What type of slope do you have when the line is horizontal and m=0?
Zero slope
1 -2 -3
M
No because you cannot have one domain pointing at two y's or ranges

45. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
[0 -+infinity)
Undefined
The single number y=

46. What are the calculator instructions for a standard quadratic equation?
C>1 - horizontal shrinking
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
Horizontal right
Y=x^2 - graph

47. What is the horizontal line formula?
Y=b
Negative slope
Set the x and y to zero and get the intercepts and then plot the points
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

48. What is the domain and range of a constant function?
A line passing through two distinct points
The opposite coordinates
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

49. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes - all the domains points to one range
Conditional

50. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Even
Y=x - identity function
Identity