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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 an identity function?
(-infinity - +infinity)
X^2
45 degree angle
Even

2. How many domains can you have pointing to one range?
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
As many as you like
F(x)=suare root of x

3. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Parabola - up one and right three
45 degree angle
(-infinity - +infinity)

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

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5. What is a range?
F(x)=IxI
Perpendicular line
The second set of components of an ordered pair
Square Root

6. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
The minimum or maximum points
X^2
F(x)=+c and f(x)-c

7. How are functions normally written?
Math 4 x - graph
Piecewise
As equations
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

8. What are two examples of composit functions?
Down
F of g and g of f
Horizontal right
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

9. In an identity function if f(10)=x than What is y?
X = the original sale price and the formula is x - .40x =$276
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.
Y=10
Y

10. What is the letter used to represent slope?
Identity
Inconsistant
M
Conditional

11. Is an identity function even - odd or neither?
45 degree angle
Cannot be drawn in quizlet
F(x)=x^3
Odd

12. What is the domain and range of a constant function?
Undefined
0<c<1 - horizontal stretching
(-infinity - +infinity)
Zero slope

13. What type of slope do you have when the line is horizontal and m=0?
The second set of components of an ordered pair
(-infinity - +infinity)
Neither
Zero slope

14. 4x+5x=8x is what type of an equation?
Conditional
2nd key - x^2 - graph
2nd catalog (zero key -) abs(x) - graph
Odd

15. What is the formula for the square root function?
When does a graph not define y as a function of x?
F(x)=suare root of x
X math 3 graph
Equation of a line

16. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
A line passing through two distinct points
Identity

17. What is the range for a standard quadratic function?
(-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
F(x+h)-f(x)/h h cannot equal zero

18. What is slope?
[0 -+infinity)
A line passing through two distinct points
Neither
Negative slope

19. How many domains can you have pointing to one range?
F(x) = x
X=a
Zero slope
As many as you like

20. When is the only time (-infinity - +infinity) is not the domain?
Absolute Value - Constant and Standard Quadratic
X = the original sale price and the formula is x - .40x =$276
In a quotient
The minimum or maximum points

21. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd
2nd catalog (zero key -) abs(x) - graph
Identity

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

23. What are the calculator instructions for absolute value?
(-infinity - +infinity)
As many as you like
2nd catalog (zero key -) abs(x) - graph
1 -2 -3

24. Is an identity function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
X=a
Odd
In a quotient

25. What type of line is a constant function?
Up
Horizontal
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

26. A flat line underlining one vertical line is a symbol for...
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
2nd catalog (zero key -) abs(x) - graph
Perpendicular line
Inconsitent

27. Which direction does f(x-c) move
C>1 - horizontal shrinking
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.
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal right

28. What is the formula in both horizontal stretching and horizontal shrinking?
The first set of components of an ordered pair
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)
Three odd - cube root - identity - standard cubic

29. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The minimum or maximum points
F(x^1)=f(x^2)
(f+g) - (f-g) - (fg) - (f/g) all of x
X = the original sale price and the formula is x - .40x =$276

30. What does the square root function look like on a graph?
Postiive slope
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant

31. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
F of g and g of f
Identity

32. x=all real numbers is what type of an equation?
2nd key - x^2 - graph
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
Same

33. What are the calculator instructions for the cube root function?
Equation of a line
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero
Math 4 x - graph

34. What is the domain for an absolute value function?
(-infinity - +infinity)
Parabola
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. standard absolute value - vertical shift formulas for positve and negative
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI
F(x)=+c and f(x)-c
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.

36. Is a constant function even - odd or neither?
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
As equations

37. What does the graph of the cube root function look like on the graph?
Only one
X2-x1 because the demonaitor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
X^2

38. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x)=3 square root x
Any set of ordered pairs
1 -2 -3
4 -6 -9

39. y=f(cx) - What does this formula represent?
F(x+c) and f(x-c)
(-infinity - +infinity)
C>1 - horizontal shrinking
In a quotient

40. What type of line is a constant function?
The first set of components of an ordered pair
Horizontal
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges

41. x=no real numbers is what type of an equation?
45 degree angle
Inconsistant
F of g and g of f
Square Root

42. What type of slope do vertical lines have?
Approach neg toward x through zero and above positive close to x
Undefined
2nd key - x^2 - graph
Any set of ordered pairs

43. y=f(cx) - What does this formula represent?
Same
C>1 - horizontal shrinking
The single number y=
No because you cannot have one domain pointing at two y's or ranges

44. standard absolute value - horizontal shift formulas for left and right
Parabola - up one and right three
Zero slope
F(x+c) and f(x-c)
Function notation

45. 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.
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
Zero slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. How many ranges can you have for each domain?
X = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair
Only one
Cannot be drawn in quizlet

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

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48. What direction does f(x)-c move in standard absolute value formula?
Identity
4 -6 -9
Even
Down

49. What is the formula in both horizontal stretching and horizontal shrinking?
Perpendicular line
Parabola - up one and right three
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

50. Is an absolute value function even - odd or neither?
Parraelle line
The opposite coordinates
(-infinity - +infinity)
Even