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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. How would this formula move f(x)=(x+1)^2-3
1 -2 -3
Identity
Piecewise
Parabola - up one and right three

2. What equation does every line have? Discuss the variables.
(-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.
Horizontal right
1 -2 -3

3. What does the standard cubic function look like on a graph?
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
Horizontal
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

4. What is the formula for slope?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

5. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
[0 -+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
Inconsistant

6. What is the domain and range of a constant function?
[0 -+infinity)
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes - all the domains points to one range

7. What is the formula for the cube root function?
Even
Equation of a line
(-infinity - +infinity)
F(x)=3 square root x

8. What are the calculator instructions for a standard quadratic equation?
Undefined slope
Y=x^2 - graph
Perpendicular line
45 degree angle

9. What is the formula for an identity function?
A V
F(x) = x
Negative slope
X = the original sale price and the formula is x - .40x =$276

10. What does the average rate of change formula solve?
Parabola
Parabola
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The slope of a line containing two points

11. What is the slope intercept formula? Define all the variables.
Postiive slope
Inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x

12. y=f(cx) What does this formula represent?
In a quotient
0<c<1 - horizontal stretching
(-infinity - +infinity)
Y=10

13. How would this formula move f(x)=(x+1)^2-3
Identity
C>1 - horizontal shrinking
Parabola - up one and right three
X is the hours to repair the boat. $1603-532=anwser/63 = x

14. What does the standard cubic function look like on a graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal
Mirror image neg quadrant to that of the positive quandrant
Because the demintor of a quotient can never equal zero

15. 4x+5x=8x is what type of an equation?
Parabola
Conditional
Parabola - up one and right three
Horizontal

16. Of the seven of algebra's common graph's how many are neither?
Square Root
Equation of a line
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet

17. Of the seven of algebra's common graph's how many are neither?
The minimum or maximum points
Square Root
Even
Because the demintor of a quotient can never equal zero

18. What is slope?
A line passing through two distinct points
0<c<1 - horizontal stretching
F(x)=suare root of x
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.

19. What is a range?
F of g and g of f
When does a graph not define y as a function of x?
(-infinity - +infinity)
The second set of components of an ordered pair

20. How many ranges can you have for each domain?
(-infinity - 0]you[0 - +infinity)
F of g and g of f
Absolute Value - Constant and Standard Quadratic
Only one

21. Is a constant function even - odd or neither?
Y=10
Conditional
Even
The slope of a line containing two points

22. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
Y=b
[0 -+infinity)

23. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
In a quotient
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

24. What is a domain?
F(x) = x
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero
The first set of components of an ordered pair

25. How many domains can you have pointing to one range?
Horizontal
Y=x^2 - graph
Y=x - identity function
As many as you like

26. Is the square root function odd - even or neither?
A line passing through two distinct points
Identity
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
Neither

27. What is the formula for an identity function?
Set the x and y to zero and get the intercepts and then plot the points
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
Inconsitent
F(x) = x

28. What are the algebra of functions?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

29. What is the domain of an identity function?
4 -6 -9
Cannot be drawn in quizlet
(-infinity - +infinity)
When does a graph not define y as a function of x?

30. Is an absolute value function even - odd or neither?
Negative inverse
Even
Neither
F of g and g of f

31. What is another way of writing the absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=IxI
X^2
Set the x and y to zero and get the intercepts and then plot the points

32. What are the calculator instructions for a square root function?
[0 -+infinity)
2nd key - x^2 - graph
The second set of components of an ordered pair
Perpendicular line

33. What is the range of a square root function?
[0 -+infinity)
Identity
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd

34. x=all real numbers is what type of an equation?
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.
Parraelle line
Identity
[0 -+infinity)

35. What is a function?
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

36. What is a range?
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+c) and f(x-c)
The second set of components of an ordered pair

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

38. What is the line called that illustrates the straight line between the two points when showing average rate of change?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The secant line
X2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic

39. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X math 3 graph
1 -2 -3
F(x2)-f(x1) / x2-x1
Yes because two x's or domains can point to one y

40. What type of line is a constant function?
2nd key - x^2 - graph
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 right
Horizontal

41. What is the vertex?
As equations
Inconsitent
The minimum or maximum points
F(x^1)=f(x^2)

42. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
As many as you like
1 -2 -3
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=

43. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Yes - all the domains points to one range
Undefined
(-infinity - +infinity)

44. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
As many as you like
C>1 - horizontal shrinking
Yes - all the domains points to one range
Equation of a line

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

46. What is the domain for the standard cubic function?
Equation of a line
(-infinity - +infinity)
F(x)=x^3
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.

47. What is the letter used to represent slope?
Cannot be drawn in quizlet
Zero slope
Horizontal right
M

48. What are the calculator instructions for absolute value?
Cannot be drawn in quizlet
Line ascending to the right gradually
Conditional
2nd catalog (zero key -) abs(x) - graph

49. What is the domain for an absolute value function?
F(x)=x^3
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Zero slope

50. What is the domain of a square root function?
[0 -+infinity)
Only one
F(x2)-f(x1) / x2-x1
Conditional