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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?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Even
F(x)=x^3

2. What is the domain for an absolute value function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Even
M

3. 4(x-7)=4x+28 is what type of an equation?
Odd
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations

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

5. Is an absolute value function even - odd or neither?
Even
Any set of ordered pairs
Math 4 x - graph
(-infinity - +infinity)

6. What are the steps for solving a word problem?
Horizontal
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
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

7. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Line ascending to the right gradually
In a quotient

8. standard absolute value - vertical shift formulas for positve and negative
Undefined
F(x)=+c and f(x)-c
F of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. How many domains can you have pointing to one range?
[0 -+infinity)
Undefined slope
As equations
As many as you like

10. Of the seven of algebra's common graph's how many are odd?
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
Same
4 -6 -9

11. standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
The minimum or maximum points
F(x)=x^3

12. When is the only time (-infinity - +infinity) is not the domain?
0<c<1 - horizontal stretching
In a quotient
Parabola - up one and right three
(-infinity - +infinity)

13. Draw or discuss a decreasing function
Postiive slope
Cannot be drawn in quizlet
Y=IxI
Absolute Value - Constant and Standard Quadratic

14. Is a constant function even - odd or neither?
F(x+h)-f(x)/h h cannot equal zero
2nd key - x^2 - graph
Even
Equation of a line

15. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Even
The second set of components of an ordered pair
Up

16. 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?
As equations
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x

17. 4x+5x=8x is what type of an equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal
Horizontal right
Conditional

18. What can never equal zero in the slope formula and why?
Even
A V
X2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates

19. What type of slope do you have when m=? and the line is vertical?
Up
45 degree angle
Undefined slope
Identity

20. What is the range for the standard cubic function?
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
Odd
Square Root
(-infinity - +infinity)

21. What can we substitute for f(x)?
Zero slope
Cannot be drawn in quizlet
Y
Conditional

22. What is the formula for the cube root function?
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.
Odd
F(x)=3 square root x
Undefined slope

23. 4(x-7)=4x-28 is what type of an equation?
Line ascending to the right gradually
Identity
2nd catalog (zero key -) abs(x) - graph
The opposite coordinates

24. x=all real numbers is what type of an equation?
Cannot be drawn in quizlet
Perpendicular line
Down
Identity

25. x=no real numbers is what type of an equation?
Perpendicular line
X math 3 graph
The secant line
Inconsistant

26. Is a standard quadratic function even - odd or neither?
Even
Horizontal
The minimum or maximum points
45 degree angle

27. What are the four steps for finding the inverse of a function?
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
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
Line ascending to the right gradually

28. Why can h not equal zero in the difference of a quotient function formula?
The slope of a line containing two points
Because the demintor of a quotient can never equal zero
0<c<1 - horizontal stretching
Square Root

29. What is the formula for to calculate the difference of a quotient function?
[0 -+infinity)
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
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.

30. What does the standard cubic function look like on a graph?
Horizontal
Mirror image neg quadrant to that of the positive quandrant
Parraelle line
Absolute Value - Constant and Standard Quadratic

31. What is the formula for the square root function?
(-infinity - +infinity)
Conditional
45 degree angle
F(x)=suare root of x

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

33. What is the vertical line formula?
Same
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
X=a
Mirror image neg quadrant to that of the positive quandrant

34. What direction does f(x)-c move in standard absolute value formula?
The secant line
A V
Identity
Down

35. What type of function would you use to calculate the most advantageous cell phone plan?
X^2
Piecewise
Parabola
F(x) = x

36. Draw or discuss an increasing function
M
Negative slope
Cannot be drawn in quizlet
In a quotient

37. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Yes - all the domains points to one range

38. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Equation of a line
Even

39. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
Equation of a line
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

40. $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?
As many as you like
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
20+.05x=5+.10x x=minutes
Up

41. What is an identity function?
F of g and g of f
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
The single number y=
45 degree angle

42. How many domains can you have pointing to one range?
The slope of a line containing two points
(-infinity - +infinity)
As many as you like
As equations

43. What is the standard quadratic function?
C>1 - horizontal shrinking
Same
Y=x^2 - graph
X^2

44. What type of line is a constant function?
Approach neg toward x through zero and above positive close to x
Horizontal
Equation of a line
Parabola - up one and right three

45. In an identity function if f(10)=x than What is y?
Y=10
45 degree angle
Y=x^2 - graph
A V

46. What does the average rate of change formula solve?
Y=x^2 - graph
As equations
X is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points

47. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
F(x^1)=f(x^2)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Three odd - cube root - identity - standard cubic

48. x=no real numbers is what type of an equation?
Inconsistant
Parabola - up one and right three
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)

49. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Neither
F(x)=3 square root x
F(x)=+c and f(x)-c

50. What is the letter used to represent slope?
Even
(-infinity - +infinity)
M
Odd