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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 the standard cubic function odd - even or neither?
Cannot be drawn in quizlet
45 degree angle
When does a graph not define y as a function of x?
Odd

2. y=f(cx) - What does this formula represent?
X = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking
(-infinity - +infinity)

3. What is the vertical line formula?
X=a
Cannot be drawn in quizlet
(-infinity - +infinity)
Yes - all the domains points to one range

4. Which direction does f(x)=+c move in standard absolute value formula?
The opposite coordinates
Horizontal
Up
Three odd - cube root - identity - standard cubic

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

6. Is the standard cubic function odd - even or neither?
Three odd - cube root - identity - standard cubic
Odd
Y= then enter the number then press graph
As many as you like

7. 4x+5x=8x is what type of an equation?
Undefined
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]you[0 - +infinity)
Conditional

8. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
Even
Conditional
Same

9. 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?
Y=10
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
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

10. What does the absolute value function look like?
Set the x and y to zero and get the intercepts and then plot the points
Even
[0 -+infinity)
A V

11. What is the formula for an absolute value function?
The opposite coordinates
Yes because two x's or domains can point to one y
F(x)=IxI
X=a

12. Is a constant function even - odd or neither?
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
Square Root
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even

13. What type of line is a constant function?
F(x)=+c and f(x)-c
Undefined slope
When does a graph not define y as a function of x?
Horizontal

14. What type of line is an identity function?
45 degree angle
Identity
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1

15. What does the graph of the cube root function look like on the graph?
Mirror image neg quadrant to that of the positive quandrant
Y
Approach neg toward x through zero and above positive close to x
Y

16. What points do you use to plot the inverse on a graph?
Postiive slope
In a quotient
The opposite coordinates
Identity

17. How do you graph Ax+By+C=0?
45 degree angle
The slope of a line containing two points
Identity
Set the x and y to zero and get the intercepts and then plot the points

18. What are the calculator instructions for the standard cubic function?
Yes - all the domains points to one range
X math 3 graph
Line ascending to the right gradually
Square Root

19. What is another way of writing the absolute value function?
Horizontal
Parabola - up one and right three
Conditional
Y=IxI

20. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Equation of a line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=suare root of x

21. What is the range of the cube root function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
Even

22. What equation does every line have? Discuss the variables.
Set the x and y to zero and get the intercepts and then plot the points
Zero slope
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.
Even

23. 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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent
Odd

24. What type of line is a constant function?
(-infinity - +infinity)
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph

25. What is the vertex?
The slope of a line containing two points
The minimum or maximum points
Parabola
Cannot be drawn in quizlet

26. What are the steps for solving a word problem?
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= then enter the number then press graph
(-infinity - +infinity)
Up

27. What does the standard cubic function look like on a graph?
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parabola - up one and right three

28. What is a constant function?
F(x^1)=f(x^2)
(-infinity - +infinity)
Y= then enter the number then press graph
Odd

29. Is an identity function even - odd or neither?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
When does a graph not define y as a function of x?
Odd

30. standard absolute value - vertical shift formulas for positve and negative
Math 4 x - graph
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c

31. Of the seven of algebra's common graph's how many are neither?
X^2
Square Root
Cannot be drawn in quizlet
Same

32. What is the domain of a square root function?
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
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

33. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even
20+.05x=5+.10x x=minutes
F(x^1)=f(x^2)

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Absolute Value - Constant and Standard Quadratic
Y=b
4 -6 -9
M

35. Of the seven of algebra's common graph's how many are even?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Piecewise
Absolute Value - Constant and Standard Quadratic
Zero slope

36. What is the range of the constant function?
Any set of ordered pairs
The single number y=
(-infinity - 0]you[0 - +infinity)
X^2

37. What is the range for the standard cubic function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=IxI
Cannot be drawn in quizlet

38. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Cannot be drawn in quizlet
Negative inverse
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y

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

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

41. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Y=x - identity function
Identity
The slope of a line containing two points

42. What does linear equation mean?
Equation of a line
Y= then enter the number then press graph
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

43. What are the algebra of functions?
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=3 square root x
Identity

44. y=f(cx) - What does this formula represent?
Even
C>1 - horizontal shrinking
The slope of a line containing two points
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. Of the seven of algebra's common graph's how many are neither?
Square Root
Conditional
45 degree angle
The single number y=

46. What is the formula for slope?
Equation of a line
Only one
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation

47. Is a constant function even - odd or neither?
X2-x1 because the demonaitor of a quotient can never equal zero
Even
X = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant

48. How many ranges can you have for each domain?
(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
Parabola
Only one

49. What does linear equation mean?
4 -6 -9
Y
Parabola
Equation of a line

50. What are the calculator instructions for absolute value?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope