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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 the range of an identity function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y
X math 3 graph
(-infinity - +infinity)

2. Why can h not equal zero in the difference of a quotient function formula?
Down
[0 -+infinity)
Because the demintor of a quotient can never equal zero
1 -2 -3

3. 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
Horizontal right
Negative slope
The secant line

4. 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

5. What is the range of the cube root function?
(-infinity - +infinity)
The first set of components of an ordered pair
Any set of ordered pairs
The single number y=

6. What does the average rate of change formula solve?
(f+g) - (f-g) - (fg) - (f/g) all of x
The slope of a line containing two points
Identity
Yes - all the domains points to one range

7. What is the vertical line formula?
Down
4 -6 -9
(-infinity - +infinity)
X=a

8. What type of line is an identity function?
45 degree angle
Conditional
Yes - all the domains points to one range
The opposite coordinates

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

10. What is the range of the constant function?
2nd key - x^2 - graph
Y=10
The single number y=
2nd key - x^2 - graph

11. What is a domain?
Horizontal
The first set of components of an ordered pair
F(x)=suare root of x
Neither

12. What are the calculator instructions for absolute value?
F(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)

13. x=no real numbers is what type of an equation?
Piecewise
Inconsistant
Conditional
Parabola

14. What is the average rate of change formula?
(-infinity - +infinity)
Horizontal
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x2)-f(x1) / x2-x1

15. Of the seven of algebra's common graph's how many are even?
45 degree angle
Horizontal right
F(x)=x^3
Absolute Value - Constant and Standard Quadratic

16. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
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
M
1 -2 -3

17. What does the absolute value function look like?
Horizontal right
A V
Yes - all the domains points to one range
F(x2)-f(x1) / x2-x1

18. standard absolute value - horizontal shift formulas for left and right
Horizontal right
(-infinity - +infinity)
Parabola
F(x+c) and f(x-c)

19. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x^1)=f(x^2)
Any set of ordered pairs
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
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. What is the formula for the cube root function?
Zero slope
2nd key - x^2 - graph
F(x)=3 square root x
(-infinity - +infinity)

21. How do you graph Ax+By+C=0?
Neither
Y
Up
Set the x and y to zero and get the intercepts and then plot the points

22. What are the calculator instructions for a square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
2nd key - x^2 - graph
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

23. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Y=x^2 - graph
(-infinity - +infinity)
The slope of a line containing two points

24. What shape is the standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Parabola
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
A line passing through two distinct points

25. Which direction does f(x)=+c move in standard absolute value formula?
Y=b
Negative slope
Up
Mirror image neg quadrant to that of the positive quandrant

26. What is the slope of a perpendicular line?
Math 4 x - graph
2nd key - x^2 - graph
Negative inverse
Set the x and y to zero and get the intercepts and then plot the points

27. How do you calculate a constant function in your calculator?
Cannot be drawn in quizlet
Y= then enter the number then press graph
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant

28. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Line ascending to the right gradually
X^2
X math 3 graph

29. What type of slope do you have when m=? and the line is vertical?
Y=b
Undefined slope
The secant line
Y=10

30. What type of slope do vertical lines have?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined
45 degree angle
Horizontal left

31. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Up
F(x^1)=f(x^2)
Y=b

32. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Inconsitent

33. What is the domain for an absolute value function?
X^2
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

34. What is the formula for an absolute value function?
Identity
X^2
Even
F(x)=IxI

35. 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<c<1 - horizontal stretching
The opposite coordinates
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

36. Is the square root function odd - even or neither?
Neither
X math 3 graph
X math 3 graph
Negative inverse

37. 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
Even
A V
As equations

38. What are the calculator instructions for the cube root function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Identity
Math 4 x - graph

39. What is the average rate of change formula?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
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
F(x2)-f(x1) / x2-x1

40. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Undefined slope
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph

41. 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?
Three odd - cube root - identity - standard cubic
Parabola - up one and right three
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

42. What is the range for the standard cubic function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X is the hours to repair the boat. $1603-532=anwser/63 = x
C>1 - horizontal shrinking

43. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Approach neg toward x through zero and above positive close to x
X = the original sale price and the formula is x - .40x =$276
Undefined slope
Y

44. How many domains can you have pointing to one range?
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
As many as you like
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. Is the standard cubic function odd - even or neither?
45 degree angle
F(x+h)-f(x)/h h cannot equal zero
The minimum or maximum points
Odd

46. What is the domain of an identity function?
F(x) = x
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.
(-infinity - +infinity)

47. Is an absolute value function even - odd or neither?
Even
Horizontal right
F(x^1)=f(x^2)
Negative slope

48. What is the range of an identity function?
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points
Function notation
(-infinity - +infinity)

49. 4(x-7)=4x-28 is what type of an equation?
A V
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
Identity

50. What is a function?
Up
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Only one
M