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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. Is a standard quadratic function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
Even
Conditional
Y=b

2. What is a constant function?
F(x)=suare root of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Line ascending to the right gradually
F(x^1)=f(x^2)

3. What is the formula for the cube root function?
F(x)=3 square root x
Negative slope
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x

4. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X2-x1 because the demonaitor of a quotient can never equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x

5. A flat line underlining one vertical line is a symbol for...
Perpendicular line
F(x+c) and f(x-c)
Y=x^2 - graph
Y= then enter the number then press graph

6. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
M
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=3 square root x

7. What is the formula for an identity function?
F(x2)-f(x1) / x2-x1
Parraelle line
X2-x1 because the demonaitor of a quotient can never equal zero
F(x) = x

8. What type of slope do you have when a line falls left to right and m<0?
Negative slope
F(x+c) and f(x-c)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet

9. 4(x-7)=4x-28 is what type of an equation?
Identity
45 degree angle
Line ascending to the right gradually
(-infinity - +infinity)

10. What is the range of a square root function?
[0 -+infinity)
Y
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
Horizontal

11. What is a constant function?
F(x^1)=f(x^2)
Cannot be drawn in quizlet
45 degree angle
(-infinity - 0]you[0 - +infinity)

12. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
20+.05x=5+.10x x=minutes
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
1 -2 -3

13. standard absolute value - vertical shift formulas for positve and negative
F of g and g of f
As many as you like
Y=x - identity function
F(x)=+c and f(x)-c

14. Of the seven of algebra's common graph's how many are odd?
The secant line
Three odd - cube root - identity - standard cubic
Square Root
F(x) = x

15. What are the four steps for finding the inverse of a function?
F(x)=suare root of x
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

16. What does the absolute value function look like?
Cannot be drawn in quizlet
The first set of components of an ordered pair
Piecewise
A V

17. x=no real numbers is what type of an equation?
1 -2 -3
Inconsistant
Square Root
F(x+h)-f(x)/h h cannot equal zero

18. What is another way to write f(x)=x - what type of function is this?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

19. What type of line is an identity function?
45 degree angle
(-infinity - +infinity)
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

20. 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
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
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9

21. What is the point slope formula and when do you use it?
F(x)=suare root of x
Up
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

22. What is a relation?
Undefined
Any set of ordered pairs
Square Root
As many as you like

23. What can we substitute for f(x)?
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.
Y
Zero slope

24. $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?
C>1 - horizontal shrinking
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
Conditional
(-infinity - +infinity)

25. What is the horizontal line formula?
Same
Piecewise
Y=b
A V

26. 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
45 degree angle
Equation of a line
0<c<1 - horizontal stretching

27. What does the average rate of change formula solve?
Undefined
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points

28. Is the square root function odd - even or neither?
Conditional
4 -6 -9
Neither
(-infinity - 0]you[0 - +infinity)

29. What does the graph of the cube root function look like on the graph?
The opposite coordinates
Approach neg toward x through zero and above positive close to x
Inconsitent
45 degree angle

30. What is the formula for the standard cubic function?
Postiive slope
The single number y=
F(x)=x^3
Approach neg toward x through zero and above positive close to x

31. What is the domain for the standard cubic function?
F(x)=IxI
Even
(-infinity - +infinity)
Only one

32. How would this formula move f(x)=(x+1)^2-3
The first set of components of an ordered pair
Parabola - up one and right three
Approach neg toward x through zero and above positive close to x
Only one

33. What does the standard cubic function look like on a graph?
Piecewise
Only one
Yes because two x's or domains can point to one y
Mirror image neg quadrant to that of the positive quandrant

34. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Inconsitent
Y=IxI
Up

35. What type of slope do you have when a line rises from left to right and m>0?
Parraelle line
Even
Cannot be drawn in quizlet
Postiive slope

36. $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?
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
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=x^3

37. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parraelle line

38. What is the formula for an identity function?
F(x) = x
F(x)=x^3
Horizontal
(-infinity - +infinity)

39. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative slope
20+.05x=5+.10x x=minutes

40. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Odd
45 degree angle
Parabola

41. How are functions normally written?
Yes - all the domains points to one range
As equations
F(x^1)=f(x^2)
Parabola

42. Of the seven of algebra's common graph's how many are even?
F(x^1)=f(x^2)
Even
4 -6 -9
Absolute Value - Constant and Standard Quadratic

43. Which direction does f(x+c) move
Horizontal left
X2-x1 because the demonaitor of a quotient can never equal zero
X math 3 graph
Horizontal right

44. 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?
Any set of ordered pairs
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x) = x

45. What is the range for a standard quadratic function?
X=a
(-infinity - 0]you[0 - +infinity)
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
The minimum or maximum points
Even
Cannot be drawn in quizlet

47. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=x^2 - graph
Yes - all the domains points to one range
Mirror image neg quadrant to that of the positive quandrant
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

48. Is an absolute value function even - odd or neither?
Even
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal left

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

50. What is the domain and range of a constant function?
45 degree angle
(-infinity - +infinity)
Parraelle line
Y