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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 a range?
Up
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
The second set of components of an ordered pair

2. Is a standard quadratic function even - odd or neither?
X math 3 graph
The opposite coordinates
Even
45 degree angle

3. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

4. What is the domain of an identity function?
(-infinity - +infinity)
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
Y=x - identity function

5. Is an absolute value function even - odd or neither?
Undefined slope
Y=IxI
Even
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.

6. Draw or discuss a constant function
F of g and g of f
Math 4 x - graph
(-infinity - +infinity)
Cannot be drawn in quizlet

7. What is an identity function?
45 degree angle
Yes because two x's or domains can point to one y
Perpendicular line
Odd

8. What is the range of an identity function?
F(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
45 degree angle
(-infinity - +infinity)

9. Is an identity function even - odd or neither?
(-infinity - +infinity)
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
Yes because two x's or domains can point to one y

10. What is a function?
Inconsistant
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Negative slope

11. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Even
Inconsistant
Mirror image neg quadrant to that of the positive quandrant

12. What does the absolute value function look like?
[0 -+infinity)
A V
The secant line
(-infinity - +infinity)

13. What is the formula for the standard cubic function?
Parabola
(-infinity - +infinity)
Odd
F(x)=x^3

14. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Y=10
Horizontal left
2nd catalog (zero key -) abs(x) - graph

15. What shape is the standard quadratic function?
F(x2)-f(x1) / x2-x1
A V
Parabola
X = the original sale price and the formula is x - .40x =$276

16. What type of line is a constant function?
No because you cannot have one domain pointing at two y's or ranges
Inconsitent
Horizontal
[0 -+infinity)

17. What is the range of a square root function?
Y= then enter the number then press graph
[0 -+infinity)
F(x)=3 square root x
(-infinity - +infinity)

18. What is a constant function?
F(x^1)=f(x^2)
Inconsitent
Only one
Cannot be drawn in quizlet

19. What is the range of a square root function?
Y= then enter the number then press graph
The minimum or maximum points
[0 -+infinity)
F(x) = x

20. 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?
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
X is the hours to repair the boat. $1603-532=anwser/63 = x

21. What is the range for the standard cubic function?
(-infinity - +infinity)
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.
As many as you like
X=a

22. What are the calculator instructions for a standard quadratic equation?
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph
F of g and g of f
Y=x - identity function

23. What points do you use to plot the inverse on a graph?
No because you cannot have one domain pointing at two y's or ranges
Y=b
The opposite coordinates
(-infinity - +infinity)

24. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
45 degree angle
Even
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

25. How many ranges can you have for each domain?
(-infinity - +infinity)
A V
Only one
Mirror image neg quadrant to that of the positive quandrant

26. y=f(cx) What does this formula represent?
2nd catalog (zero key -) abs(x) - graph
Math 4 x - graph
0<c<1 - horizontal stretching
2nd key - x^2 - graph

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

28. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Any set of ordered pairs
As many as you like
F(x2)-f(x1) / x2-x1

29. What is the slope of a perpendicular line?
C>1 - horizontal shrinking
The secant line
Because the demintor of a quotient can never equal zero
Negative inverse

30. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Horizontal right
Horizontal left
F(x+h)-f(x)/h h cannot equal zero

31. What type of slope do vertical lines have?
Only one
The first set of components of an ordered pair
Undefined
When does a graph not define y as a function of x?

32. How many domains can you have pointing to one range?
As many as you like
As equations
Conditional
Parabola - up one and right three

33. What are the algebra of functions?
[0 -+infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As equations
(f+g) - (f-g) - (fg) - (f/g) all of x

34. What are the steps for solving a word problem?
Identity
Function notation
F(x)=x^3
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. Two vertical lines side by side are a symbol for what
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsitent
Parraelle line
Y=IxI

36. What type of line is a constant function?
The second set of components of an ordered pair
Horizontal left
[0 -+infinity)
Horizontal

37. y=f(cx) - What does this formula represent?
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
Y=x - identity function
The first set of components of an ordered pair

38. Is a constant function even - odd or neither?
4 -6 -9
Even
45 degree angle
Math 4 x - graph

39. What is the formula for to calculate the difference of a quotient function?
Parabola - up one and right three
A line passing through two distinct points
F(x+h)-f(x)/h h cannot equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

40. What does linear equation mean?
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.
4 -6 -9
Equation of a line
Odd

41. What is the domain for a standard quadratic function?
Cannot be drawn in quizlet
(-infinity - +infinity)
Parabola - up one and right three
F(x)=3 square root x

42. What is the domain for the standard cubic function?
As equations
Conditional
F(x)=+c and f(x)-c
(-infinity - +infinity)

43. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Y=b
F of g and g of f
Yes - all the domains points to one range

44. What is the domain of a square root function?
[0 -+infinity)
Any set of ordered pairs
Piecewise
(-infinity - 0]you[0 - +infinity)

45. What type of line is a constant function?
45 degree angle
Horizontal
Equation of a line
Y= then enter the number then press graph

46. When is the only time (-infinity - +infinity) is not the domain?
Approach neg toward x through zero and above positive close to x
In a quotient
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1

47. What is the horizontal line formula?
Negative inverse
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Y=b

48. Which direction does f(x)=+c move in standard absolute value formula?
Undefined
Up
Cannot be drawn in quizlet
Even

49. What is another way of writing the absolute value function?
45 degree angle
Y=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
20+.05x=5+.10x x=minutes

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