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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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - 0]you[0 - +infinity)
Y=b
Mirror image neg quadrant to that of the positive quandrant
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

2. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(-infinity - 0]you[0 - +infinity)
In a quotient
20+.05x=5+.10x x=minutes
F(x2)-f(x1) / x2-x1

3. What is the slope of a perpendicular line?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
Negative inverse
Yes - all the domains points to one range

4. What is the range for a standard quadratic function?
Horizontal
2nd key - x^2 - graph
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)

5. What type of slope do vertical lines have?
The opposite coordinates
Undefined
Three odd - cube root - identity - standard cubic
The slope of a line containing two points

6. What is the formula for slope?
Line ascending to the right gradually
Change in y / change in x = rise / run = y2-y1 / x2-x1
4 -6 -9
(-infinity - +infinity)

7. Which direction does f(x)=+c move in standard absolute value formula?
Y=IxI
Undefined
(-infinity - +infinity)
Up

8. y=f(cx) - What does this formula represent?
Horizontal
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x
C>1 - horizontal shrinking

9. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity
X = the original sale price and the formula is x - .40x =$276
The single number y=

10. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Because the demintor of a quotient can never equal zero
The secant line
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

11. What type of line is an identity function?
Conditional
(-infinity - 0]you[0 - +infinity)
In a quotient
45 degree angle

12. How many ranges can you have for each domain?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Absolute Value - Constant and Standard Quadratic
Only one
Piecewise

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Horizontal left
F(x+h)-f(x)/h h cannot equal zero
Line ascending to the right gradually
The secant line

14. What is slope?
A line passing through two distinct points
Y=b
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)

15. 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
X=a
Parraelle line
Y=x^2 - graph

16. What is the range of the constant function?
Identity
Equation of a line
The single number y=
(-infinity - +infinity)

17. What does the square root function look like on a graph?
Parabola - up one and right three
Piecewise
Y=x^2 - graph
Line ascending to the right gradually

18. What is another way to write f(x)=x - what type of function is this?
Square Root
Parraelle line
Y=x - identity function
Absolute Value - Constant and Standard Quadratic

19. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Negative slope
2nd catalog (zero key -) abs(x) - graph
20+.05x=5+.10x x=minutes

20. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Square Root
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Identity

21. x= a real number is what type of equation?
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
Conditional
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

22. Why can h not equal zero in the difference of a quotient function formula?
Set the x and y to zero and get the intercepts and then plot the points
4 -6 -9
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

23. 4(x-7)=4x+28 is what type of an equation?
The single number y=
Horizontal left
Inconsitent
Y= then enter the number then press graph

24. What is a relation?
As many as you like
Approach neg toward x through zero and above positive close to x
Any set of ordered pairs
Parabola

25. What is a function?
The second set of components of an ordered pair
(-infinity - +infinity)
Piecewise
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

26. y=f(cx) - What does this formula represent?
Undefined
C>1 - horizontal shrinking
The second set of components of an ordered pair
(-infinity - +infinity)

27. Draw or discuss a constant 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.
(-infinity - 0]you[0 - +infinity)
Any set of ordered pairs
Cannot be drawn in quizlet

28. What type of slope do you have when a line falls left to right and m<0?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
F(x)=+c and f(x)-c
F(x)=x^3

29. What is the range for an absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)
Even
Any set of ordered pairs

30. What is the domain of the cube root function?
F(x)=IxI
Zero slope
[0 -+infinity)
(-infinity - +infinity)

31. What is a relation?
The slope of a line containing two points
Parabola
The minimum or maximum points
Any set of ordered pairs

32. What is the slope of a perpendicular line?
Negative inverse
Cannot be drawn in quizlet
Square Root
M

33. Which direction does f(x+c) move
X2-x1 because the demonaitor of a quotient can never equal zero
Negative slope
Horizontal left
(-infinity - +infinity)

34. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Undefined slope
F(x)=x^3
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

35. Is a constant function even - odd or neither?
Even
0<c<1 - horizontal stretching
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F of g and g of f

36. What is the range for the standard cubic function?
Even
Cannot be drawn in quizlet
Y=x - identity function
(-infinity - +infinity)

37. What is the horizontal line formula?
Y=b
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
X math 3 graph

38. Two vertical lines side by side are a symbol for what
(f+g) - (f-g) - (fg) - (f/g) all of x
Parraelle line
Parabola
Perpendicular line

39. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Piecewise
2nd catalog (zero key -) abs(x) - graph

40. What is an identity function?
X=a
(-infinity - +infinity)
(-infinity - +infinity)
45 degree angle

41. What does the absolute value function look like?
1 -2 -3
A V
(-infinity - +infinity)
Horizontal left

42. Of the seven of algebra's common graph's how many are even?
Horizontal left
Absolute Value - Constant and Standard Quadratic
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

43. Is an absolute value function even - odd or neither?
Even
[0 -+infinity)
The second set of components of an ordered pair
C>1 - horizontal shrinking

44. Is the standard cubic function odd - even or neither?
Odd
Mirror image neg quadrant to that of the positive quandrant
The slope of a line containing two points
M

45. What is the vertical line test?
Three odd - cube root - identity - standard cubic
Down
When does a graph not define y as a function of x?
As many as you like

46. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

47. What direction does f(x)-c move in standard absolute value formula?
F(x+h)-f(x)/h h cannot equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x
X math 3 graph
Down

48. What does the average rate of change formula solve?
The secant line
Parabola
The slope of a line containing two points
(-infinity - +infinity)

49. What does linear equation mean?
[0 -+infinity)
Equation of a line
No because you cannot have one domain pointing at two y's or ranges
Even

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Math 4 x - graph
F(x)=IxI
(-infinity - +infinity)
1 -2 -3