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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 a constant function?
F(x^1)=f(x^2)
X math 3 graph
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
(-infinity - +infinity)

2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The slope of a line containing two points
1 -2 -3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

3. What does the square root function look like on a graph?
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)
A V
Cannot be drawn in quizlet

4. Is a constant function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
Neither
F(x2)-f(x1) / x2-x1
Even

5. What is a function?
Equation of a line
When does a graph not define y as a function of x?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
Postiive slope
Y=x^2 - graph

7. What is the domain for an absolute value function?
Math 4 x - graph
As equations
(-infinity - +infinity)
Even

8. What is another way to write f(x)=x - what type of function is this?
Equation of a line
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
Y=x - identity function

9. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
As equations
Piecewise
Horizontal

10. What is a domain?
The first set of components of an ordered pair
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Any set of ordered pairs

11. What direction does f(x)-c move in standard absolute value formula?
Yes because two x's or domains can point to one y
Down
F(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph

12. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
The slope of a line containing two points
45 degree angle
Identity

13. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
The second set of components of an ordered pair
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= then enter the number then press graph
F(x) = x

14. What is a domain?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even
A line passing through two distinct points
The first set of components of an ordered pair

15. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

16. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
X = the original sale price and the formula is x - .40x =$276
Horizontal
Odd
4 -6 -9

17. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - 0]you[0 - +infinity)
Piecewise
F(x) = x
F(x2)-f(x1) / x2-x1

18. Is the standard cubic function odd - even or neither?
Y=IxI
Odd
45 degree angle
F(x+h)-f(x)/h h cannot equal zero

19. What is an identity function?
No because you cannot have one domain pointing at two y's or ranges
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points

20. What is the domain and range of a constant function?
Y= then enter the number then press graph
The first set of components of an ordered pair
Y=b
(-infinity - +infinity)

21. What is the domain for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
X^2
(-infinity - +infinity)
Identity

22. What type of line is an identity function?
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
Zero slope
Math 4 x - graph
45 degree angle

23. What is the average rate of change formula?
X math 3 graph
X^2
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1

24. What is the domain for a standard quadratic function?
(-infinity - +infinity)
The minimum or maximum points
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

25. What is the slope of a perpendicular line?
Negative inverse
F(x)=3 square root x
Function notation
Y=b

26. standard absolute value - horizontal shift formulas for left and right
[0 -+infinity)
Square Root
(-infinity - +infinity)
F(x+c) and f(x-c)

27. What is the slope of a perpendicular line?
Negative inverse
[0 -+infinity)
Even
Up

28. What points do you use to plot the inverse on a graph?
Postiive slope
(-infinity - +infinity)
The opposite coordinates
Yes - all the domains points to one range

29. What is the range for the standard cubic function?
Approach neg toward x through zero and above positive close to x
Y=10
(-infinity - +infinity)
Parraelle line

30. What is a range?
(-infinity - 0]you[0 - +infinity)
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither

31. What is the letter used to represent slope?
Same
Even
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.
M

32. What are the calculator instructions for a standard quadratic equation?
Math 4 x - graph
Y=x^2 - graph
Equation of a line
Inconsistant

33. x=no real numbers is what type of an equation?
(-infinity - +infinity)
45 degree angle
Inconsistant
Postiive slope

34. 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)
(-infinity - +infinity)
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

35. What are the calculator instructions for the standard cubic function?
Cannot be drawn in quizlet
F(x) = x
Up
X math 3 graph

36. What is the vertex?
Parabola - up one and right three
Cannot be drawn in quizlet
The minimum or maximum points
1 -2 -3

37. What is the range of a square root function?
[0 -+infinity)
Identity
Y=b
Mirror image neg quadrant to that of the positive quandrant

38. What can never equal zero in the slope formula and why?
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
X2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

39. What type of slope do you have when the line is horizontal and m=0?
Down
F(x)=x^3
Line ascending to the right gradually
Zero slope

40. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
F(x) = x
Parabola - up one and right three
The opposite coordinates

41. What is the range of an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

42. Is a standard quadratic function even - odd or neither?
X = the original sale price and the formula is x - .40x =$276
Equation of a line
Because the demintor of a quotient can never equal zero
Even

43. What is another way of writing the absolute value function?
Y=IxI
Line ascending to the right gradually
Identity
1 -2 -3

44. What type of line is an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Square Root
45 degree angle
Cannot be drawn in quizlet

45. How do you graph Ax+By+C=0?
Three odd - cube root - identity - standard cubic
Set the x and y to zero and get the intercepts and then plot the points
Down
2nd catalog (zero key -) abs(x) - graph

46. Is the standard cubic function odd - even or neither?
When does a graph not define y as a function of x?
Odd
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

47. What does linear equation mean?
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 - all the domains points to one range
Approach neg toward x through zero and above positive close to x
Equation of a line

48. What is the formula in both horizontal stretching and horizontal shrinking?
1 -2 -3
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X is the hours to repair the boat. $1603-532=anwser/63 = x

49. What is the range for an absolute value function?
F(x)=+c and f(x)-c
(-infinity - 0]you[0 - +infinity)
Undefined
X math 3 graph

50. What are the calculator instructions for the standard cubic function?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
X math 3 graph
A line passing through two distinct points