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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 line called that illustrates the straight line between the two points when showing average rate of change?
Function notation
Conditional
The secant line
Y=IxI

2. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola
Only one
Perpendicular line

3. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Zero slope
The single number y=
Absolute Value - Constant and Standard Quadratic

4. 4(x-7)=4x-28 is what type of an equation?
X^2
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=10

5. What is the formula for slope?
Identity
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI

6. x=no real numbers is what type of an equation?
Identity
[0 -+infinity)
Inconsistant
F(x)=3 square root x

7. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Function notation
1 -2 -3
(-infinity - +infinity)
Cannot be drawn in quizlet

8. What is the range of the constant function?
F(x2)-f(x1) / x2-x1
The single number y=
(-infinity - +infinity)
Identity

9. Is a constant function even - odd or neither?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
Neither
X is the hours to repair the boat. $1603-532=anwser/63 = x

10. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x^1)=f(x^2)
Y=b
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Down

11. What are the four steps for solving a linear equation?
(-infinity - +infinity)
Perpendicular line
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.
20+.05x=5+.10x x=minutes

12. What is a range?
The second set of components of an ordered pair
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
A line passing through two distinct points

13. What is another way to write f(x)=x - what type of function is this?
Cannot be drawn in quizlet
Postiive slope
As equations
Y=x - identity function

14. What is the range for the standard cubic function?
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.
Any set of ordered pairs
Identity
(-infinity - +infinity)

15. What is the domain for an absolute value function?
Neither
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

16. Which direction does f(x)=+c move in standard absolute value formula?
Up
Y
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
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.

17. What type of line is an identity function?
Neither
45 degree angle
(-infinity - +infinity)
Function notation

18. What is the vertex?
The minimum or maximum points
Perpendicular line
Y=10
Mirror image neg quadrant to that of the positive quandrant

19. What can never equal zero in the slope formula and why?
C>1 - horizontal shrinking
F of g and g of f
X2-x1 because the demonaitor 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

20. What is the slope of a perpendicular line?
Equation of a line
Negative inverse
X^2
Y=x - identity function

21. What points do you use to plot the inverse on a graph?
The opposite coordinates
Same
F(x)=+c and f(x)-c
Cannot be drawn in quizlet

22. What is the domain of an identity function?
The slope of a line containing two points
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd

23. What is the average rate of change formula?
20+.05x=5+.10x x=minutes
(-infinity - 0]you[0 - +infinity)
Equation of a line
F(x2)-f(x1) / x2-x1

24. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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)=+c and f(x)-c
Set the x and y to zero and get the intercepts and then plot the points
M

25. What is a constant function?
The single number y=
Line ascending to the right gradually
F(x^1)=f(x^2)
Undefined slope

26. What is the domain for the standard cubic function?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
Yes - all the domains points to one range

27. What type of slope do horizontal lines have?
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.
F(x+h)-f(x)/h h cannot equal zero
Same

28. What is the range of the constant function?
45 degree angle
Absolute Value - Constant and Standard Quadratic
The single number y=
0<c<1 - horizontal stretching

29. When is the only time (-infinity - +infinity) is not the domain?
When does a graph not define y as a function of x?
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero
In a quotient

30. Is an absolute value function even - odd or neither?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
Perpendicular line
Yes - all the domains points to one range

31. What is the formula for the square root function?
F(x)=suare root of x
(-infinity - +infinity)
A V
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

32. What are the calculator instructions for absolute value?
F(x)=suare root of x
As equations
2nd catalog (zero key -) abs(x) - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

33. What is the domain for a standard quadratic function?
As many as you like
F(x)=3 square root x
F of g and g of f
(-infinity - +infinity)

34. Draw or discuss a decreasing function
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
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet

35. What is a domain?
A line passing through two distinct points
Neither
The first set of components of an ordered pair
Even

36. Is an absolute value function even - odd or neither?
Even
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276
The single number y=

37. Which direction does f(x-c) move
Horizontal right
(-infinity - +infinity)
F(x)=3 square root x
Postiive slope

38. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
X=a
Zero slope
(-infinity - +infinity)

39. standard absolute value - vertical shift formulas for positve and negative
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range
2nd key - x^2 - graph
F(x)=+c and f(x)-c

40. 4(x-7)=4x+28 is what type of an equation?
M
Inconsitent
Negative slope
Horizontal right

41. What can we substitute for f(x)?
Yes because two x's or domains can point to one y
Y
Perpendicular line
Horizontal

42. What is another way of writing the absolute value function?
Y=IxI
Approach neg toward x through zero and above positive close to x
Y= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

43. Which direction does f(x+c) move
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.
Undefined
[0 -+infinity)
Horizontal left

44. What does the absolute value function look like?
4 -6 -9
Cannot be drawn in quizlet
A V
Odd

45. Which direction does f(x)=+c move in standard absolute value formula?
Absolute Value - Constant and Standard Quadratic
Absolute Value - Constant and Standard Quadratic
Up
(-infinity - +infinity)

46. How do you graph Ax+By+C=0?
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

47. How many domains can you have pointing to one range?
As many as you like
C>1 - horizontal shrinking
Inconsistant
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.

48. Of the seven of algebra's common graph's how many are even?
(-infinity - 0]you[0 - +infinity)
Y=b
Absolute Value - Constant and Standard Quadratic
Odd

49. What are the four steps for finding the inverse of a function?
Undefined slope
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The opposite coordinates

50. What is the range of an identity function?
Undefined
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Horizontal right