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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 range of the constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=
[0 -+infinity)
Neither

2. What is the domain and range of a constant function?
(-infinity - +infinity)
F(x) = x
Conditional
Approach neg toward x through zero and above positive close to x

3. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Neither
20+.05x=5+.10x x=minutes
F(x)=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

4. What is the formula for an identity function?
F(x) = x
Math 4 x - graph
(-infinity - +infinity)
Piecewise

5. $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?
20+.05x=5+.10x x=minutes
The opposite coordinates
X math 3 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

6. y=f(cx) What does this formula represent?
A V
0<c<1 - horizontal stretching
Any set of ordered pairs
20+.05x=5+.10x x=minutes

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Horizontal right
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
The secant line

8. What does the graph of the cube root function look like on the graph?
Because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
M
Inconsitent

9. What are the calculator instructions for the cube root function?
Y=b
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Math 4 x - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

10. What is another way of writing the absolute value function?
Three odd - cube root - identity - standard cubic
Y=IxI
Any set of ordered pairs
F(x)=IxI

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

12. What is the formula for slope?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=3 square root x
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

13. What are the four steps for solving a linear equation?
Y
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.
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
Approach neg toward x through zero and above positive close to x

14. What is the formula in both horizontal stretching and horizontal shrinking?
Parabola
F(x)=suare root of x
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. What are the calculator instructions for the cube root function?
In a quotient
The second set of components of an ordered pair
Math 4 x - graph
F(x^1)=f(x^2)

16. What type of slope do you have when a line rises from left to right and m>0?
Y=b
Because the demintor of a quotient can never equal zero
X math 3 graph
Postiive slope

17. f(x) = x^2+3x+5 - what type of formula is this?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Because the demintor of a quotient can never equal zero
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

18. What points do you use to plot the inverse on a graph?
Neither
The opposite coordinates
The single number y=
Y=10

19. What direction does f(x)-c move in standard absolute value formula?
Identity
Line ascending to the right gradually
Down
Yes - all the domains points to one range

20. What is the domain for an absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=IxI

21. What does the graph of the cube root function look like on the graph?
Y=b
Negative inverse
F(x)=x^3
Approach neg toward x through zero and above positive close to x

22. Two vertical lines side by side are a symbol for what
As many as you like
X=a
Inconsitent
Parraelle line

23. $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?
X = the original sale price and the formula is x - .40x =$276
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
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)

24. What is the domain for a standard quadratic function?
As equations
Line ascending to the right gradually
Cannot be drawn in quizlet
(-infinity - +infinity)

25. What is a function?
Yes - all the domains points to one range
Math 4 x - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=IxI

26. What does the average rate of change formula solve?
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=IxI
F(x+h)-f(x)/h h cannot equal zero

27. When is the only time (-infinity - +infinity) is not the domain?
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
In a quotient
Parabola - up one and right three

28. What is the formula for the standard cubic function?
Yes - all the domains points to one range
F(x)=x^3
(-infinity - +infinity)
Y=10

29. What equation does every line have? Discuss the variables.
Cannot be drawn in quizlet
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.
[0 -+infinity)
(-infinity - +infinity)

30. What is the range for a standard quadratic function?
X math 3 graph
F(x)=x^3
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)

31. What is the formula for slope?
Yes because two x's or domains can point to one y
Y=x^2 - graph
F(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1

32. What type of function would you use to calculate the most advantageous cell phone plan?
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
Piecewise
As equations
(-infinity - +infinity)

33. Is an absolute value function even - odd or neither?
Cannot be drawn in quizlet
Even
(-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

34. y=f(cx) - What does this formula represent?
[0 -+infinity)
The second set of components of an ordered pair
C>1 - horizontal shrinking
20+.05x=5+.10x x=minutes

35. What is a range?
Same
Identity
The second set of components of an ordered pair
2nd key - x^2 - graph

36. x=all real numbers is what type of an equation?
Y
Identity
Function notation
4 -6 -9

37. What can we substitute for f(x)?
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
Y
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. In an identity function if f(10)=x than What is y?
Inconsistant
Y=10
Identity
(-infinity - 0]you[0 - +infinity)

39. What are the four steps for finding the inverse of a function?
X = the original sale price and the formula is x - .40x =$276
Y=b
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Down

40. What is the domain of a square root function?
The single number y=
Down
[0 -+infinity)
4 -6 -9

41. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
(-infinity - +infinity)
Function notation
(-infinity - +infinity)

42. What type of slope do vertical lines have?
Approach neg toward x through zero and above positive close to x
Horizontal
Undefined
F(x)=+c and f(x)-c

43. What is the vertical line formula?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=10
X=a
Yes - all the domains points to one range

44. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x)=x^3
Y= then enter the number then press graph
X = the original sale price and the formula is x - .40x =$276
X math 3 graph

45. Which direction does f(x-c) move
When does a graph not define y as a function of x?
As many as you like
Horizontal right
0<c<1 - horizontal stretching

46. What can we substitute for f(x)?
(-infinity - +infinity)
Y
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

47. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(-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
Y=x^2 - graph

48. What is the range for the standard cubic function?
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
Conditional
(-infinity - +infinity)

49. 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
Inconsitent
Any set of ordered pairs
X math 3 graph

50. Is an identity function even - odd or neither?
A V
Odd
F(x2)-f(x1) / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse