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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 another way of writing the absolute value function?
Up
Undefined slope
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=IxI

2. What is the horizontal line formula?
Y=b
Absolute Value - Constant and Standard Quadratic
Y
As many as you like

3. What direction does f(x)-c move in standard absolute value formula?
Because the demintor of a quotient can never equal zero
The first set of components of an ordered pair
Down
Y=x - identity function

4. Draw or discuss a decreasing function
A V
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

5. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
Negative slope
Y=b
Yes - all the domains points to one range

6. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Math 4 x - graph
The minimum or maximum points
Y=10

7. 4(x-7)=4x-28 is what type of an equation?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function
F(x2)-f(x1) / x2-x1
Identity

8. What type of slope do you have when the line is horizontal and m=0?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Zero slope
[0 -+infinity)
Cannot be drawn in quizlet

9. What is the letter used to represent slope?
Even
M
F(x+c) and f(x-c)
Down

10. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Y=x - identity function
Cannot be drawn in quizlet
Negative slope

11. How do you calculate a constant function in your calculator?
Horizontal left
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Y= then enter the number then press graph

12. What is another way to write f(x)=x - what type of function is this?
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=x - identity function
X=a
Any set of ordered pairs

13. What type of line is an identity function?
45 degree angle
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
F(x)=3 square root x

14. What is the average rate of change formula?
(-infinity - +infinity)
(-infinity - +infinity)
F(x)=suare root of x
F(x2)-f(x1) / x2-x1

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x+c) and f(x-c)
A V
Approach neg toward x through zero and above positive close to x
4 -6 -9

16. What are the calculator instructions for the standard cubic function?
X math 3 graph
2nd key - x^2 - graph
As many as you like
Horizontal

17. Is a standard quadratic function even - odd or neither?
Inconsistant
Even
C>1 - horizontal shrinking
F(x)=3 square root x

18. What is 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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y
X^2

19. What is a domain?
X=a
C>1 - horizontal shrinking
The first set of components of an ordered pair
As many as you like

20. Two vertical lines side by side are a symbol for what
Parraelle line
M
The slope of a line containing two points
(-infinity - +infinity)

21. What equation does every line have? Discuss the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
F(x^1)=f(x^2)
(-infinity - 0]you[0 - +infinity)

22. 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 - 0]you[0 - +infinity)
Horizontal right
Only one

23. What type of slope do you have when m=? and the line is vertical?
Because the demintor of a quotient can never equal zero
Undefined slope
Even
Down

24. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x+h)-f(x)/h h cannot equal zero
Piecewise
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= then enter the number then press graph

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

26. What shape is the standard quadratic function?
Parabola
F(x+c) and f(x-c)
20+.05x=5+.10x x=minutes
Down

27. What does the square root function look like on a graph?
Yes - all the domains points to one range
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y

28. What 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
When does a graph not define y as a function of x?
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.
45 degree angle

29. What can never equal zero in the slope formula and why?
Only one
Inconsistant
X2-x1 because the demonaitor of a quotient can never equal zero
M

30. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Parabola - up one and right three
Because the demintor of a quotient can never equal zero
C>1 - horizontal shrinking

31. What are the calculator instructions for absolute value?
Y
Conditional
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph

32. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Horizontal right
Y=IxI
1 -2 -3
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.

33. What is the range of an identity function?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The first set of components of an ordered pair
4 -6 -9
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+c) and f(x-c)

35. 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?
Negative slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph

36. What type of slope do you have when the line is horizontal and m=0?
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.
Inconsistant
Zero slope
Negative slope

37. What is another way of writing the absolute value function?
Y=b
Inconsistant
Undefined slope
Y=IxI

38. Of the seven of algebra's common graph's how many are odd?
Neither
Three odd - cube root - identity - standard cubic
F(x)=IxI
Equation of a line

39. Is the standard cubic function odd - even or neither?
Undefined
Parabola - up one and right three
Y=x - identity function
Odd

40. What are the four steps for finding the inverse of a function?
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.
Because the demintor of a quotient can never equal zero
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

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

42. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function
F(x)=+c and f(x)-c

43. How many domains can you have pointing to one range?
[0 -+infinity)
In a quotient
F(x)=x^3
As many as you like

44. Why can h not equal zero in the difference of a quotient function formula?
Same
F of g and g of f
Because the demintor 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

45. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Absolute Value - Constant and Standard Quadratic
Postiive slope
Even

46. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The first set of components of an ordered pair
The secant line
Zero slope

47. What is the formula for the cube root function?
F(x)=3 square root x
As equations
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x

48. How do you calculate a constant function in your calculator?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Y= then enter the number then press graph
Line ascending to the right gradually

49. What are the calculator instructions for a square root function?
X=a
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
2nd key - x^2 - graph
Postiive slope

50. What is the range of a square root function?
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
Y=10