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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 shape is the standard quadratic function?
Piecewise
X=a
Parabola
F(x)=+c and f(x)-c

2. What is the vertical line test?
(-infinity - +infinity)
Negative inverse
Neither
When does a graph not define y as a function of x?

3. What type of slope do you have when m=? and the line is vertical?
Undefined slope
(-infinity - +infinity)
45 degree angle
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

4. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined
(-infinity - +infinity)
45 degree angle

5. Draw or discuss a constant function
When does a graph not define y as a function of x?
Y= then enter the number then press graph
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
Cannot be drawn in quizlet

6. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
As many as you like
Absolute Value - Constant and Standard Quadratic
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.

7. Is a standard quadratic function even - odd or neither?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
Negative slope
Even

8. What is the formula for to calculate the difference of a quotient function?
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero
The minimum or maximum points
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

9. What is the vertical line formula?
Horizontal left
Y= then enter the number then press graph
Line ascending to the right gradually
X=a

10. 4(x-7)=4x-28 is what type of an equation?
Identity
Neither
Y=x^2 - graph
Cannot be drawn in quizlet

11. Of the seven of algebra's common graph's how many are even?
Parabola - up one and right three
Horizontal left
The first set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic

12. What is the standard quadratic 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^2
F(x+c) and f(x-c)
Y=x - identity function

13. standard absolute value - vertical shift formulas for positve and negative
F(x^1)=f(x^2)
The second set of components of an ordered pair
F(x)=+c and f(x)-c
45 degree angle

14. Draw or discuss an increasing function
(-infinity - +infinity)
Cannot be drawn in quizlet
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)

15. How are functions normally written?
As equations
Inconsistant
F(x) = x
Neither

16. What is the formula for the standard cubic function?
The minimum or maximum points
(-infinity - +infinity)
F(x)=x^3
Cannot be drawn in quizlet

17. What type of line is a constant function?
F(x) = x
Odd
Horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

18. What type of line is a constant 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
Perpendicular line
Because the demintor of a quotient can never equal zero
Horizontal

19. What does the absolute value function look like?
A V
As many as you like
Cannot be drawn in quizlet
The slope of a line containing two points

20. Two vertical lines side by side are a symbol for what
Yes - all the domains points to one range
Parraelle line
X2-x1 because the demonaitor of a quotient can never equal zero
Identity

21. What are the steps for solving a word problem?
Neither
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

22. How many domains can you have pointing to one range?
Cannot be drawn in quizlet
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
As many as you like
(-infinity - +infinity)

23. Why can h not equal zero in the difference of a quotient function formula?
Horizontal
Horizontal left
Because the demintor of a quotient can never equal zero
Y=x - identity function

24. What can never equal zero in the slope formula and why?
The second set of components of an ordered pair
Identity
C>1 - horizontal shrinking
X2-x1 because the demonaitor of a quotient can never equal zero

25. Is the standard cubic function odd - even or neither?
F of g and g of f
Same
Odd
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

26. What does linear equation mean?
(-infinity - 0]you[0 - +infinity)
20+.05x=5+.10x x=minutes
Equation of a line
Parraelle line

27. What is a range?
Yes because two x's or domains can point to one y
Inconsitent
The second set of components of an ordered pair
(-infinity - +infinity)

28. In an identity function if f(10)=x than What is y?
Yes - all the domains points to one range
When does a graph not define y as a function of x?
Y=10
Y

29. Is an absolute value function even - odd or neither?
Conditional
(-infinity - +infinity)
The slope of a line containing two points
Even

30. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
(-infinity - +infinity)
[0 -+infinity)
Perpendicular line

31. What are two examples of composit functions?
F of g and g of f
The secant line
F(x+c) and f(x-c)
Neither

32. What type of slope do you have when the line is horizontal and m=0?
Zero slope
A line passing through two distinct points
Even
Absolute Value - Constant and Standard Quadratic

33. Of the seven of algebra's common graph's how many are neither?
X2-x1 because the demonaitor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph
In a quotient
Square Root

34. Which direction does f(x-c) move
Horizontal right
45 degree angle
F(x)=+c and f(x)-c
Even

35. What is a relation?
Inconsitent
F of g and g of f
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph

36. What does the standard cubic function look like on a graph?
Conditional
Y=IxI
Mirror image neg quadrant to that of the positive quandrant
F(x)=IxI

37. What can never equal zero in the slope formula and why?
(-infinity - 0]you[0 - +infinity)
Undefined
The first set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero

38. How many ranges can you have for each domain?
2nd key - x^2 - graph
Only one
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

39. What does the absolute value function look like?
4 -6 -9
Line ascending to the right gradually
A V
Y=x - identity function

40. What does linear equation mean?
Y=b
Down
Equation of a line
4 -6 -9

41. What are the calculator instructions for absolute value?
Same
2nd catalog (zero key -) abs(x) - graph
Equation of a line
(-infinity - +infinity)

42. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1
F(x)=3 square root x

43. Draw or discuss a decreasing function
Y=b
Cannot be drawn in quizlet
(-infinity - +infinity)
The first set of components of an ordered pair

44. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Undefined
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

45. What are the four steps for finding the inverse of a function?
Undefined slope
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+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

46. $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
(-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
(f+g) - (f-g) - (fg) - (f/g) all of x

47. $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+g) - (f-g) - (fg) - (f/g) all of x
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
F(x2)-f(x1) / x2-x1

48. What is the domain of the cube root function?
The slope of a line containing two points
X math 3 graph
Horizontal right
(-infinity - +infinity)

49. How many domains can you have pointing to one range?
Approach neg toward x through zero and above positive close to x
As many as you like
45 degree angle
Down

50. y=f(cx) - What does this formula represent?
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.
C>1 - horizontal shrinking
Cannot be drawn in quizlet
Conditional