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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 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
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
X=a
Change in y / change in x = rise / run = y2-y1 / x2-x1

2. Two vertical lines side by side are a symbol for what
Y=IxI
Piecewise
Parraelle line
The minimum or maximum points

3. What is the point slope formula and when do you use it?
Up
Piecewise
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

5. What is a range?
Parraelle line
The second set of components of an ordered pair
Y=IxI
Undefined slope

6. When is the only time (-infinity - +infinity) is not the domain?
Undefined
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
In a quotient

7. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Inconsistant
Parabola - up one and right three
F of g and g of f

8. Is the square root function odd - even or neither?
Neither
Y=x - identity function
Even
Set the x and y to zero and get the intercepts and then plot the points

9. Is a standard quadratic function even - odd or neither?
Inconsistant
Y=x^2 - graph
Even
Cannot be drawn in quizlet

10. How many domains can you have pointing to one range?
45 degree angle
Cannot be drawn in quizlet
The single number y=
As many as you like

11. x=all real numbers is what type of an equation?
F(x)=3 square root x
Inconsistant
Identity
Undefined slope

12. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Piecewise
(-infinity - +infinity)
Any set of ordered pairs

13. When is the only time (-infinity - +infinity) is not the domain?
20+.05x=5+.10x x=minutes
(-infinity - 0]you[0 - +infinity)
In a quotient
Odd

14. Draw or discuss a constant function
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
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.
1 -2 -3

15. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

16. What is the range of the cube root function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Identity
Yes because two x's or domains can point to one y

17. What does the average rate of change formula solve?
The slope of a line containing two points
(-infinity - +infinity)
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph

18. What can never equal zero in the slope formula and why?
The secant line
Horizontal right
X2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking

19. What is a constant function?
F(x)=+c and f(x)-c
F(x^1)=f(x^2)
Down
Negative inverse

20. $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?
F(x) = x
X^2
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
Piecewise

21. y=f(cx) - What does this formula represent?
F(x)=suare root of x
C>1 - horizontal shrinking
Y
X2-x1 because the demonaitor of a quotient can never equal zero

22. How do you calculate a constant function in your calculator?
Y=IxI
Y= then enter the number then press graph
Undefined
Y

23. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
1 -2 -3
Only one
Cannot be drawn in quizlet
4 -6 -9

24. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Y=IxI
The second set of components of an ordered pair
Undefined slope

25. What is another way to write f(x)=x - what type of function is this?
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=b
Horizontal
Y=x - identity function

26. What are two examples of composit functions?
Y=IxI
F of g and g of f
1 -2 -3
Inconsistant

27. What type of slope do vertical lines have?
F(x)=suare root of x
Undefined
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet

28. What type of slope do horizontal lines have?
Cannot be drawn in quizlet
M
X = the original sale price and the formula is x - .40x =$276
Same

29. Of the seven of algebra's common graph's how many are neither?
The secant line
Y=b
F(x2)-f(x1) / x2-x1
Square Root

30. Why can h not equal zero in the difference of a quotient function formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

31. What are the calculator instructions for the cube root 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.
Math 4 x - graph
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.
Parabola - up one and right three

32. What type of line is an identity function?
Piecewise
45 degree angle
F(x)=x^3
Same

33. What is the letter used to represent slope?
(-infinity - +infinity)
Odd
M
F(x)=3 square root x

34. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
F of g and g of f
Function notation
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

35. How many ranges can you have for each domain?
Perpendicular line
(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
Only one

36. Which direction does f(x+c) move
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Equation of a line

37. Which direction does f(x)=+c move in standard absolute value formula?
F(x) = x
2nd key - x^2 - graph
Up
F(x)=x^3

38. What is the range of an identity function?
Inconsitent
Square Root
Y= then enter the number then press graph
(-infinity - +infinity)

39. What is a domain?
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
The first set of components of an ordered pair
Even

40. Which direction does f(x)=+c move in standard absolute value formula?
M
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Up

41. What is the horizontal line formula?
Y=b
1 -2 -3
0<c<1 - horizontal stretching
(-infinity - +infinity)

42. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
Y=10
Zero slope
No because you cannot have one domain pointing at two y's or ranges

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

44. What type of line is a constant function?
Horizontal
Odd
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
Same

45. What is the vertical line test?
Neither
Horizontal
X^2
When does a graph not define y as a function of x?

46. What type of slope do you have when m=? and the line is vertical?
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
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

47. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Line ascending to the right gradually
Yes - all the domains points to one range
X math 3 graph
(-infinity - +infinity)

48. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
The minimum or maximum points
As equations
Only one

49. Which direction does f(x+c) move
Horizontal left
F of g and g of f
4 -6 -9
Cannot be drawn in quizlet

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Three odd - cube root - identity - standard cubic
Up
F(x) = x
1 -2 -3