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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 formula for the cube root function?
Inconsitent
F(x)=3 square root x
Postiive slope
Square Root

2. What are the steps for solving a word problem?
Y=b
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^2 - graph
Even

3. What is the domain for the standard cubic function?
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
(-infinity - +infinity)
Identity

4. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
X math 3 graph
2nd catalog (zero key -) abs(x) - graph
Neither

5. What is the domain for an absolute value function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+c) and f(x-c)

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

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7. What points do you use to plot the inverse on a graph?
Odd
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
The opposite coordinates

8. What is the domain and range of a constant function?
Cannot be drawn in quizlet
Yes - all the domains points to one range
45 degree angle
(-infinity - +infinity)

9. What is the vertex?
The minimum or maximum points
F(x)=x^3
The second set of components of an ordered pair
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.

10. What is the horizontal line formula?
Y=b
Neither
No because you cannot have one domain pointing at two y's or ranges
The secant line

11. What is the formula for the square root function?
(-infinity - +infinity)
F(x)=suare root of x
Square Root
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.

12. 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?
Cannot be drawn in quizlet
4 -6 -9
Because the demintor of a quotient can never equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x

13. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
X=a
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Odd

14. What is another way to write f(x)=x - what type of function is this?
Inconsitent
The minimum or maximum points
Y=x - identity function
C>1 - horizontal shrinking

15. What is the point slope formula and when do you use it?
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

16. What points do you use to plot the inverse on a graph?
The opposite coordinates
Horizontal
Horizontal left
Conditional

17. standard absolute value - vertical shift formulas for positve and negative
Odd
Yes because two x's or domains can point to one y
Parraelle line
F(x)=+c and f(x)-c

18. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
A V
Y=IxI
The minimum or maximum points

19. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The opposite coordinates
(-infinity - +infinity)
As many as you like
The secant line

20. What is slope?
A line passing through two distinct points
F(x^1)=f(x^2)
The first set of components of an ordered pair
Line ascending to the right gradually

21. x=no real numbers is what type of an equation?
Absolute Value - Constant and Standard Quadratic
Inconsistant
Parabola - up one and right three
The minimum or maximum points

22. A flat line underlining one vertical line is a symbol for...
Perpendicular line
A V
The single number y=
X=a

23. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x
Even
Even

24. What are the calculator instructions for the standard cubic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Neither
M
X math 3 graph

25. What does the square root function look like on a graph?
Y=x - identity function
Line ascending to the right gradually
F of g and g of f
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

26. How many ranges can you have for each domain?
Perpendicular line
Only one
X = the original sale price and the formula is x - .40x =$276
Identity

27. What is the range of the constant function?
C>1 - horizontal shrinking
Neither
Cannot be drawn in quizlet
The single number y=

28. What is the range of an identity function?
When does a graph not define y as a function of x?
Conditional
(-infinity - +infinity)
X=a

29. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
X=a
Y
Cannot be drawn in quizlet

30. What is the slope of a perpendicular line?
(-infinity - +infinity)
Odd
(-infinity - +infinity)
Negative inverse

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

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32. Why can h not equal zero in the difference of a quotient function formula?
Y=IxI
4 -6 -9
Because the demintor of a quotient can never equal zero
Inconsistant

33. How do you calculate a constant function in your calculator?
F(x) = x
2nd catalog (zero key -) abs(x) - graph
Y= then enter the number then press graph
Undefined slope

34. What type of function would you use to calculate the most advantageous cell phone plan?
Absolute Value - Constant and Standard Quadratic
Piecewise
Three odd - cube root - identity - standard cubic
Square Root

35. What type of slope do vertical lines have?
2nd catalog (zero key -) abs(x) - graph
F(x^1)=f(x^2)
F(x+h)-f(x)/h h cannot equal zero
Undefined

36. What is the domain for an absolute value function?
Horizontal
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Same

37. What is a domain?
Only one
The first set of components of an ordered pair
(-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

38. Is the standard cubic function odd - even or neither?
Odd
Negative inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=IxI

39. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X^2
The secant line
F(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph

40. x=no real numbers is what type of an equation?
Inconsistant
Conditional
Neither
F(x)=+c and f(x)-c

41. What is the formula for the standard cubic function?
Function notation
F(x)=x^3
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left

42. What is a constant function?
F(x^1)=f(x^2)
F(x)=3 square root x
F(x+c) and f(x-c)
Down

43. What is the domain of the cube root function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
The slope of a line containing two points

44. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
X = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
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

45. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Conditional
F(x)=suare root of x
Piecewise

46. 4x+5x=8x is what type of an equation?
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Function notation
The opposite coordinates

47. What is the domain for the standard cubic function?
Inconsistant
(-infinity - +infinity)
F(x)=3 square root x
Because the demintor of a quotient can never equal zero

48. What direction does f(x)-c move in standard absolute value formula?
[0 -+infinity)
Down
X = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant

49. x= a real number is what type of equation?
F(x)=+c and f(x)-c
Negative slope
Conditional
X=a

50. How are functions normally written?
Negative inverse
As equations
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