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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 slope intercept formula? Define all the variables.
Identity
Y=10
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Three odd - cube root - identity - standard cubic

2. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph
Even

3. What is an identity function?
45 degree angle
Square Root
Perpendicular line
F(x) = x

4. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Equation of a line
Cannot be drawn in quizlet
Yes - all the domains points to one range
The slope of a line containing two points

5. Draw or discuss a decreasing function
Only one
(-infinity - 0]you[0 - +infinity)
Y=b
Cannot be drawn in quizlet

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

7. What is the formula for to calculate the difference of a quotient function?
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
Inconsistant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

8. What is a relation?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1

9. How would this formula move f(x)=(x+1)^2-3
Set the x and y to zero and get the intercepts and then plot the points
Parabola - up one and right three
Equation of a line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

10. What points do you use to plot the inverse on a graph?
The opposite coordinates
No because you cannot have one domain pointing at two y's or ranges
Only one
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

11. Draw or discuss an increasing function
Cannot be drawn in quizlet
F(x)=suare root of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Square Root

12. What type of line is a constant function?
The second set of components of an ordered pair
Zero slope
Conditional
Horizontal

13. y=f(cx) What does this formula represent?
Horizontal
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Y

14. Draw or discuss a constant function
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

15. Is a constant function even - odd or neither?
Horizontal right
F(x+h)-f(x)/h h cannot equal zero
Even
45 degree angle

16. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph
Horizontal left
F(x)=suare root of x

17. What are the calculator instructions for the standard cubic function?
X math 3 graph
(-infinity - +infinity)
Odd
The second set of components of an ordered pair

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

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19. Draw or discuss a constant function
(-infinity - +infinity)
Zero slope
Cannot be drawn in quizlet
Piecewise

20. 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?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither
Cannot be drawn in quizlet

21. Of the seven of algebra's common graph's how many are odd?
Only one
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
Three odd - cube root - identity - standard cubic
45 degree angle

22. What are the four steps for finding the inverse of a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

23. What does the absolute value function look like?
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1
A V
M

24. What is the vertical line test?
Approach neg toward x through zero and above positive close to x
The first set of components of an ordered pair
When does a graph not define y as a function of x?
(-infinity - +infinity)

25. Is a standard quadratic function even - odd or neither?
The first set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
Even

26. What is the standard quadratic function?
Equation of a line
X^2
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x+c) and f(x-c)

27. y=f(cx) - What does this formula represent?
X^2
C>1 - horizontal shrinking
Y=x - identity function
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

28. What type of slope do you have when a line falls left to right and m<0?
Negative slope
The minimum or maximum points
Undefined slope
(-infinity - 0]you[0 - +infinity)

29. What type of slope do you have when a line falls left to right and m<0?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
Negative slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Horizontal
(-infinity - +infinity)
(-infinity - +infinity)

31. In an identity function if f(10)=x than What is y?
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
Y=10

32. What are the calculator instructions for absolute value?
As equations
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
Negative slope

33. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
45 degree angle
Approach neg toward x through zero and above positive close to x
F(x)=x^3

34. What can never equal zero in the slope formula and why?
F(x) = x
When does a graph not define y as a function of x?
Parraelle line
X2-x1 because the demonaitor of a quotient can never equal zero

35. What does the average rate of change formula solve?
(-infinity - +infinity)
The slope of a line containing two points
Identity
F of g and g of f

36. What is the slope of a perpendicular line?
Negative inverse
Function notation
(-infinity - +infinity)
The minimum or maximum points

37. What does the absolute value function look like?
A V
Zero slope
(-infinity - +infinity)
Conditional

38. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Approach neg toward x through zero and above positive close to x
No because you cannot have one domain pointing at two y's or ranges
The secant line
Up

39. What is the domain for the standard cubic function?
F(x)=+c and f(x)-c
Odd
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

40. standard absolute value - horizontal shift formulas for left and right
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+c) and f(x-c)
F(x)=suare root of x

41. What is the domain of the cube root function?
In a quotient
F(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

42. What is the range of the cube root function?
Identity
The minimum or maximum points
Y=x - identity function
(-infinity - +infinity)

43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Horizontal
(-infinity - +infinity)
X=a
1 -2 -3

44. Is an identity function even - odd or neither?
Odd
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
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
Three odd - cube root - identity - standard cubic

45. 4(x-7)=4x-28 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
Negative inverse
No because you cannot have one domain pointing at two y's or ranges

46. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Yes - all the domains points to one range
The secant line
In a quotient

47. Which direction does f(x+c) move
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
Horizontal left
F(x) = x

48. What type of line is an identity function?
The opposite coordinates
45 degree angle
[0 -+infinity)
Parraelle line

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

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

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