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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 many ranges can you have for each domain?
Conditional
Only one
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

2. What is a domain?
The first set of components of an ordered pair
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
Approach neg toward x through zero and above positive close to x
20+.05x=5+.10x x=minutes

3. What is the formula for the cube root function?
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=3 square root x
As equations

4. What is a function?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
Parraelle line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

5. x=no real numbers is what type of an equation?
Conditional
C>1 - horizontal shrinking
Inconsistant
The single number y=

6. Is an absolute value function even - odd or neither?
F(x)=+c and f(x)-c
Even
Mirror image neg quadrant to that of the positive quandrant
Horizontal

7. What is another way to write f(x)=x - what type of function is this?
Y=x - identity 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.
A line passing through two distinct points
(-infinity - +infinity)

8. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
The minimum or maximum points
Horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

9. $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?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
(-infinity - +infinity)
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

10. What is a range?
The second set of components of an ordered pair
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
Identity

11. What are the calculator instructions for absolute value?
Y=b
0<c<1 - horizontal stretching
Parabola
2nd catalog (zero key -) abs(x) - graph

12. How do you calculate a constant function in your calculator?
Absolute Value - Constant and Standard Quadratic
Square Root
Inconsitent
Y= then enter the number then press graph

13. What does the average rate of change formula solve?
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
X2-x1 because the demonaitor of a quotient can never equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points

14. 4(x-7)=4x+28 is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
F of g and g of f
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1

15. 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?
Three odd - cube root - identity - standard cubic
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.
Down
X is the hours to repair the boat. $1603-532=anwser/63 = x

16. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
The opposite coordinates
Even
When does a graph not define y as a function of x?

17. What are the algebra of functions?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The single number y=
Yes because two x's or domains can point to one y
(f+g) - (f-g) - (fg) - (f/g) all of x

18. What is the domain of the cube root function?
Even
Neither
Math 4 x - graph
(-infinity - +infinity)

19. What is the range of the constant function?
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As equations
The single number y=

20. What type of line is an identity function?
The first set of components of an ordered pair
Undefined slope
45 degree angle
Parraelle line

21. What is the domain 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
Postiive slope
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

22. What is the formula for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
X is the hours to repair the boat. $1603-532=anwser/63 = x
Same
F(x)=x^3

23. What is the domain for an absolute value function?
Parraelle line
2nd key - x^2 - graph
(-infinity - +infinity)
Negative slope

24. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
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.
Horizontal right

25. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
The slope of a line containing two points
Inconsitent
20+.05x=5+.10x x=minutes

26. What is the vertex?
The minimum or maximum points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Y=IxI

27. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Y=IxI
Same
X2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes

28. What is the domain and range of a constant function?
F(x)=3 square root x
Y=x - identity function
(-infinity - +infinity)
0<c<1 - horizontal stretching

29. What is the domain of the cube root function?
1 -2 -3
Zero slope
[0 -+infinity)
(-infinity - +infinity)

30. What is the formula for slope?
The minimum or maximum points
Yes - all the domains points to one range
Approach neg toward x through zero and above positive close to x
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. What type of function would you use to calculate the most advantageous cell phone plan?
Equation of a line
Piecewise
X=a
Math 4 x - graph

32. What is slope?
Odd
F(x+c) and f(x-c)
A line passing through two distinct points
F(x2)-f(x1) / x2-x1

33. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Absolute Value - Constant and Standard Quadratic
Mirror image neg quadrant to that of the positive quandrant
Math 4 x - graph

34. What does the average rate of change formula solve?
Neither
The slope of a line containing two points
Only one
2nd catalog (zero key -) abs(x) - graph

35. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
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.
As many as you like
X2-x1 because the demonaitor of a quotient can never equal zero

36. What is the domain and range of a constant function?
As equations
Even
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

37. 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
(-infinity - +infinity)
As many as you like
(-infinity - +infinity)

38. What is the domain of an identity function?
(-infinity - +infinity)
[0 -+infinity)
Inconsistant
Negative slope

39. What direction does f(x)-c move in standard absolute value formula?
The single number y=
Down
As many as you like
Y=IxI

40. What type of slope do horizontal lines have?
Horizontal right
Same
Only one
The secant line

41. f(x) = x^2+3x+5 - what type of formula is this?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Function notation
(-infinity - 0]you[0 - +infinity)

42. What are the calculator instructions for the standard cubic function?
Set the x and y to zero and get the intercepts and then plot the points
As many as you like
X math 3 graph
Only one

43. What is the letter used to represent slope?
Horizontal right
Yes - all the domains points to one range
M
(-infinity - +infinity)

44. What is the formula for the square root function?
Identity
F(x)=suare root of x
Horizontal right
(-infinity - 0]you[0 - +infinity)

45. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Horizontal left
When does a graph not define y as a function of x?
X = the original sale price and the formula is x - .40x =$276

46. What is the range for the standard cubic function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
F(x)=x^3
No because you cannot have one domain pointing at two y's or ranges

47. What is the range of the cube root function?
Horizontal
(-infinity - +infinity)
Equation of a line
F(x+c) and f(x-c)

48. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Horizontal
A V
Negative slope
X = the original sale price and the formula is x - .40x =$276

49. What are the steps for solving a word problem?
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
Y=x - identity function
X^2
[0 -+infinity)

50. What is the range of an identity function?
[0 -+infinity)
Any set of ordered pairs
(-infinity - +infinity)
Y=x^2 - graph