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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 four steps for finding the inverse of 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
Down
X=a
(-infinity - +infinity)

2. What does the average rate of change formula solve?
The secant line
X math 3 graph
Conditional
The slope of a line containing two points

3. standard absolute value - horizontal shift formulas for left and right
Any set of ordered pairs
X^2
F(x^1)=f(x^2)
F(x+c) and f(x-c)

4. What type of line is a constant function?
Horizontal
Absolute Value - Constant and Standard Quadratic
Because the demintor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

5. Which direction does f(x+c) move
Horizontal left
The second set of components of an ordered pair
45 degree angle
F(x)=3 square root x

6. What is the vertex?
The minimum or maximum points
2nd key - x^2 - graph
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

7. What are the four steps for solving a linear equation?
F(x) = 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.
Three odd - cube root - identity - standard cubic
Up

8. How are functions normally written?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
(-infinity - +infinity)
As equations

9. What is the range for the standard cubic function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Odd
Same

10. What does the square root function look like on a graph?
Undefined slope
Line ascending to the right gradually
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=10

11. What is the slope intercept formula? Define all the variables.
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant
When does a graph not define y as a function of x?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

12. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F of g and g of f
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
20+.05x=5+.10x x=minutes

13. Which direction does f(x-c) move
Horizontal right
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.
45 degree angle
Inconsistant

14. What is the domain of an identity function?
F(x) = x
Up
Undefined
(-infinity - +infinity)

15. What are two examples of composit functions?
F of g and g of f
2nd catalog (zero key -) abs(x) - graph
Y
X math 3 graph

16. What is an identity function?
45 degree angle
When does a graph not define y as a function of x?
A V
Horizontal

17. What type of line is a constant function?
Horizontal
Conditional
(-infinity - 0]you[0 - +infinity)
X=a

18. What shape is the standard quadratic function?
A line passing through two distinct points
Negative inverse
Parabola
[0 -+infinity)

19. What is the range of the cube root function?
F(x2)-f(x1) / x2-x1
Y=x^2 - graph
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

20. Of the seven of algebra's common graph's how many are neither?
2nd key - x^2 - graph
Square Root
X = the original sale price and the formula is x - .40x =$276
F(x2)-f(x1) / x2-x1

21. How many domains can you have pointing to one range?
As many as you like
X=a
Inconsitent
The opposite coordinates

22. 4(x-7)=4x-28 is what type of an equation?
Identity
Even
Postiive slope
F(x+c) and f(x-c)

23. Is an absolute value function even - odd or neither?
Parabola
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even

24. Draw or discuss a constant function
A V
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.
Cannot be drawn in quizlet
Undefined

25. What is the slope of a perpendicular line?
[0 -+infinity)
2nd key - x^2 - graph
(-infinity - 0]you[0 - +infinity)
Negative inverse

26. What type of slope do horizontal lines have?
Same
[0 -+infinity)
Only one
The first set of components of an ordered pair

27. What can never equal zero in the slope formula and why?
Square Root
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
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x - identity function

28. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
[0 -+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.
In a quotient

29. What is a range?
The second set of components of an ordered pair
As equations
(-infinity - +infinity)
Only one

30. What does the absolute value function look like?
In a quotient
4 -6 -9
Yes because two x's or domains can point to one y
A V

31. Which direction does f(x)=+c move in standard absolute value formula?
Up
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
The secant line
Negative slope

32. What is the range for the standard cubic function?
Horizontal right
F of g and g of f
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

33. What is the range of an identity function?
Inconsitent
A line passing through two distinct points
Horizontal left
(-infinity - +infinity)

34. What points do you use to plot the inverse on a graph?
The opposite coordinates
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

35. Which direction does f(x)=+c move in standard absolute value formula?
Math 4 x - graph
Y
Mirror image neg quadrant to that of the positive quandrant
Up

36. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
(-infinity - +infinity)
45 degree angle
Cannot be drawn in quizlet

37. What is another way of writing the absolute value function?
As many as you like
Absolute Value - Constant and Standard Quadratic
Y=IxI
Only one

38. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The opposite coordinates
[0 -+infinity)
(-infinity - +infinity)

39. What is the point slope formula and when do you use it?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Set the x and y to zero and get the intercepts and then plot the points
Neither

40. What is the range for an absolute value function?
Zero slope
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1
Three odd - cube root - identity - standard cubic

41. What type of slope do horizontal lines have?
As equations
20+.05x=5+.10x x=minutes
Same
[0 -+infinity)

42. What equation does every line have? Discuss the variables.
Down
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.
Horizontal
No because you cannot have one domain pointing at two y's or ranges

43. Of the seven of algebra's common graph's how many are even?
20+.05x=5+.10x x=minutes
Y=IxI
Absolute Value - Constant and Standard Quadratic
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.

44. y=f(cx) - What does this formula represent?
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
C>1 - horizontal shrinking
Any set of ordered pairs
Y=IxI

45. Of the seven of algebra's common graph's how many are neither?
Square Root
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
Absolute Value - Constant and Standard Quadratic

46. What points do you use to plot the inverse on a graph?
Y=x - identity function
The opposite coordinates
Equation of a line
(-infinity - +infinity)

47. Two vertical lines side by side are a symbol for what
20+.05x=5+.10x x=minutes
Parraelle line
As many as you like
Set the x and y to zero and get the intercepts and then plot the points

48. What is a relation?
Any set of ordered pairs
Yes because two x's or domains can point to one y
Y=b
Equation of a line

49. What can we substitute for f(x)?
Identity
Y
Horizontal
X = the original sale price and the formula is x - .40x =$276

50. What type of function would you use to calculate the most advantageous cell phone plan?
0<c<1 - horizontal stretching
Piecewise
F(x)=suare root of x
Parabola - up one and right three