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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 type of slope do you have when m=? and the line is vertical?
Conditional
Undefined slope
Horizontal right
Negative inverse

2. What direction does f(x)-c move in standard absolute value formula?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parabola - up one and right three
2nd catalog (zero key -) abs(x) - graph
Down

3. What is the formula for an absolute value function?
Inconsitent
Conditional
F(x)=IxI
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

4. What is the letter used to represent slope?
(-infinity - +infinity)
M
The secant line
Piecewise

5. How do you graph Ax+By+C=0?
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
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=IxI

6. 4x+5x=8x is what type of an equation?
The opposite coordinates
X2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking
Conditional

7. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Odd
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph

8. What is the range of the cube root function?
Piecewise
Equation of a line
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

9. What are two examples of composit functions?
X math 3 graph
F of g and g of f
Three odd - cube root - identity - standard cubic
Function notation

10. What is the domain for the standard cubic function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
45 degree angle
Down

11. 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.
(-infinity - +infinity)
Up
Parabola

12. Is an identity function even - odd or neither?
No because you cannot have one domain pointing at two y's or ranges
F(x) = x
Odd
Mirror image neg quadrant to that of the positive quandrant

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=10
Absolute Value - Constant and Standard Quadratic
The secant line
Function notation

14. Is an absolute value function even - odd or neither?
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
Even
Negative inverse

15. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Even
The second set of components of an ordered pair
X = the original sale price and the formula is x - .40x =$276

16. How many ranges can you have for each domain?
[0 -+infinity)
(-infinity - +infinity)
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

17. Draw or discuss a constant function
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Y=IxI

18. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Negative 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.
F(x)=x^3

19. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The single number y=
X = the original sale price and the formula is x - .40x =$276
X=a
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

20. How would this formula move f(x)=(x+1)^2-3
Inconsitent
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
Any set of ordered pairs

21. What does the standard cubic function look like on a graph?
F(x^1)=f(x^2)
Mirror image neg quadrant to that of the positive quandrant
Horizontal
Y= then enter the number then press graph

22. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - 0]you[0 - +infinity)
As equations
X is the hours to repair the boat. $1603-532=anwser/63 = x
1 -2 -3

23. 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
Inconsitent
F(x+c) and f(x-c)
Set the x and y to zero and get the intercepts and then plot the points

24. Which direction does f(x)=+c move in standard absolute value formula?
The second set of components of an ordered pair
Odd
Up
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.

25. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
4 -6 -9
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

26. What is another way to write f(x)=x - what type of function is this?
1 -2 -3
Yes because two x's or domains can point to one y
Y=x - identity function
X=a

27. What is a function?
Because the demintor of a quotient can never equal zero
Neither
(f+g) - (f-g) - (fg) - (f/g) all of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

28. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Conditional
Only one
When does a graph not define y as a function of x?

29. Is a constant function even - odd or neither?
Square Root
Even
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x

30. What is the vertex?
Same
The minimum or maximum points
Y
(-infinity - +infinity)

31. What are the calculator instructions for the cube root function?
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.
Parraelle line
Math 4 x - graph
(-infinity - +infinity)

32. What is the formula for an identity function?
45 degree angle
Only one
F(x) = x
No because you cannot have one domain pointing at two y's or ranges

33. What is the domain for a standard quadratic function?
Y=x^2 - graph
(-infinity - +infinity)
F of g and g of f
Approach neg toward x through zero and above positive close to x

34. What is the formula in both horizontal stretching and horizontal shrinking?
Equation of a line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points
(-infinity - +infinity)

35. What type of line is a constant function?
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276
Horizontal
20+.05x=5+.10x x=minutes

36. What is the formula for an identity function?
F(x+c) and f(x-c)
In a quotient
F(x) = x
Y=IxI

37. f(x) = x^2+3x+5 - what type of formula is this?
The slope of a line containing two points
Line ascending to the right gradually
Y
Function notation

38. 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?
C>1 - horizontal shrinking
X is the hours to repair the boat. $1603-532=anwser/63 = x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

39. standard absolute value - vertical shift formulas for positve and negative
F(x)=suare root of x
F(x+h)-f(x)/h h cannot equal zero
F(x)=+c and f(x)-c
(-infinity - +infinity)

40. x= a real number is what type of equation?
X = the original sale price and the formula is x - .40x =$276
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
Conditional
Cannot be drawn in quizlet

41. What is the formula for to calculate the difference of a quotient function?
F(x2)-f(x1) / x2-x1
F(x+h)-f(x)/h h cannot equal zero
Math 4 x - graph
(-infinity - +infinity)

42. Of the seven of algebra's common graph's how many are odd?
Absolute Value - Constant and Standard Quadratic
Odd
Three odd - cube root - identity - standard cubic
A V

43. What is a relation?
Any set of ordered pairs
X math 3 graph
Y
M

44. What is the range of the constant function?
M
The single number y=
[0 -+infinity)
(-infinity - +infinity)

45. Is the square root function odd - even or neither?
Neither
The second set of components of an ordered pair
Undefined slope
As many as you like

46. What is another way of writing the absolute value function?
F(x) = x
Y=IxI
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

47. What is the average rate of change formula?
Undefined
Inconsitent
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

48. What is a domain?
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
The first set of components of an ordered pair

49. x=all real numbers is what type of an equation?
Identity
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
The second set of components of an ordered pair

50. 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.
Neither
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040