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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. Which direction does f(x)=+c move in standard absolute value formula?
Up
F(x)=3 square root x
Conditional
Neither

2. standard absolute value - vertical shift formulas for positve and negative
Horizontal left
[0 -+infinity)
F(x)=+c and f(x)-c
The secant line

3. What is another way of writing the absolute value function?
Cannot be drawn in quizlet
Inconsistant
Cannot be drawn in quizlet
Y=IxI

4. What are the four steps for finding the inverse of a function?
Odd
Y
F(x)=suare root of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

5. y=f(cx) What does this formula represent?
Identity
Even
Parraelle line
0<c<1 - horizontal stretching

6. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Horizontal right
Three odd - cube root - identity - standard cubic
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

7. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
45 degree angle
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.
(-infinity - 0]you[0 - +infinity)

8. What is another way of writing the absolute value function?
2nd key - x^2 - graph
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.
Y=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

9. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
45 degree angle
X math 3 graph
The slope of a line containing two points

10. What does the square root function look like on a graph?
Any set of ordered pairs
Horizontal left
Math 4 x - graph
Line ascending to the right gradually

11. What does linear equation mean?
Three odd - cube root - identity - standard cubic
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points
Equation of a line

12. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
0<c<1 - horizontal stretching

13. What are the calculator instructions for absolute value?
Y=x^2 - graph
45 degree angle
X = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph

14. What is the domain for a standard quadratic function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Line ascending to the right gradually
X math 3 graph

15. What is the point slope formula and when do you use it?
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal left

16. What is the formula for slope?
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
F(x+c) and f(x-c)

17. What is the range for a standard quadratic function?
Up
When does a graph not define y as a function of x?
Y=IxI
(-infinity - 0]you[0 - +infinity)

18. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Neither
The minimum or maximum points
Piecewise
Yes - all the domains points to one range

19. How many ranges can you have for each domain?
Three odd - cube root - identity - standard cubic
X = the original sale price and the formula is x - .40x =$276
X is the hours to repair the boat. $1603-532=anwser/63 = x
Only one

20. What is the domain of the cube root function?
(-infinity - +infinity)
M
F(x) = x
C>1 - horizontal shrinking

21. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)
Piecewise
As many as you like

22. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Even
In a quotient
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

23. What type of slope do vertical lines have?
[0 -+infinity)
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
Undefined
Cannot be drawn in quizlet

24. In an identity function if f(10)=x than What is y?
Y=10
Y=IxI
F(x^1)=f(x^2)
Line ascending to the right gradually

25. What does linear equation mean?
Y=x^2 - graph
Parabola - up one and right three
Horizontal left
Equation of a line

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x^1)=f(x^2)
F(x+c) and f(x-c)
The secant line
Cannot be drawn in quizlet

27. $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?
Postiive slope
Inconsitent
F(x+c) and f(x-c)
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

28. What is the slope intercept formula? Define all the variables.
Any set of ordered pairs
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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
Up

29. What are two examples of composit functions?
Yes because two x's or domains can point to one y
Absolute Value - Constant and Standard Quadratic
Function notation
F of g and g of f

30. Is the standard cubic function odd - even or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd
(-infinity - 0]you[0 - +infinity)
F(x^1)=f(x^2)

31. Of the seven of algebra's common graph's how many are even?
Negative inverse
Neither
X=a
Absolute Value - Constant and Standard Quadratic

32. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y

33. What are two examples of composit functions?
F of g and g of f
M
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

34. 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
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.
Up
Odd

35. What is the domain for the standard cubic function?
(-infinity - +infinity)
Same
A line passing through two distinct points
4 -6 -9

36. Is a standard quadratic function even - odd or neither?
Zero slope
Even
Horizontal left
Neither

37. What is the formula for to calculate the difference of a quotient function?
A line passing through two distinct points
F(x+h)-f(x)/h h cannot equal zero
A line passing through two distinct points
Change in y / change in x = rise / run = y2-y1 / x2-x1

38. What is the vertical line test?
No because you cannot have one domain pointing at two y's or ranges
0<c<1 - horizontal stretching
When does a graph not define y as a function of x?
Only one

39. What type of slope do you have when the line is horizontal and m=0?
Zero slope
F of g and g of f
Parabola - up one and right three
1 -2 -3

40. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Absolute Value - Constant and Standard Quadratic
20+.05x=5+.10x x=minutes
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

41. What does the absolute value function look like?
The slope of a line containing two points
Y=b
Undefined slope
A V

42. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
F(x2)-f(x1) / x2-x1
X = the original sale price and the formula is x - .40x =$276
Piecewise

43. How are functions normally written?
[0 -+infinity)
As equations
No because you cannot have one domain pointing at two y's or ranges
The slope of a line containing two points

44. What are the algebra of functions?
Postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola
Parraelle line

45. What does the standard cubic function look like on a graph?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations
Same
Mirror image neg quadrant to that of the positive quandrant

46. What are the calculator instructions for the cube root function?
Math 4 x - graph
A line passing through two distinct points
[0 -+infinity)
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

47. 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?
Mirror image neg quadrant to that of the positive quandrant
X=a
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=3 square root x

48. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Mirror image neg quadrant to that of the positive quandrant
Identity
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.

49. What is the standard quadratic function?
Conditional
Up
As equations
X^2

50. What is the domain of an identity function?
(-infinity - +infinity)
Y=x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The minimum or maximum points