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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 are the four steps for finding the inverse of a function?
Mirror image neg quadrant to that of the positive quandrant
A V
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

2. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
4 -6 -9
F(x)=3 square root x
Even

3. What is the vertex?
F(x^1)=f(x^2)
X is the hours to repair the boat. $1603-532=anwser/63 = x
The first set of components of an ordered pair
The minimum or maximum points

4. 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
Y=x^2 - graph
F(x^1)=f(x^2)
F(x)=IxI

5. How many domains can you have pointing to one range?
As many as you like
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
When does a graph not define y as a function of x?

6. What is the formula for slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

7. What is a relation?
Any set of ordered pairs
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
(-infinity - +infinity)

8. What can we substitute for f(x)?
Only one
Odd
Y
(-infinity - +infinity)

9. What is the horizontal line formula?
In a quotient
Negative inverse
Three odd - cube root - identity - standard cubic
Y=b

10. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

11. What is the range of the constant function?
F of g and g of f
Piecewise
A line passing through two distinct points
The single number y=

12. What can we substitute for f(x)?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
Even
Y

13. y=f(cx) What does this formula represent?
Y=10
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
F(x)=suare root of x

14. In an identity function if f(10)=x than What is y?
Odd
The single number y=
F(x)=IxI
Y=10

15. What is a function?
Line ascending to the right gradually
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10
Y=IxI

16. How many ranges can you have for each domain?
Math 4 x - graph
Only one
Odd
20+.05x=5+.10x x=minutes

17. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
F(x^1)=f(x^2)
The minimum or maximum points
F(x2)-f(x1) / x2-x1

18. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsitent
F(x^1)=f(x^2)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

19. What is the range for a standard quadratic function?
Conditional
45 degree angle
4 -6 -9
(-infinity - 0]you[0 - +infinity)

20. What is the range of a square root function?
45 degree angle
Identity
Same
[0 -+infinity)

21. y=f(cx) What does this formula represent?
Horizontal left
F(x)=IxI
0<c<1 - horizontal stretching
X math 3 graph

22. What type of slope do horizontal lines have?
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
Same

23. Which direction does f(x)=+c move in standard absolute value formula?
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.
F(x)=+c and f(x)-c
The first set of components of an ordered pair
Up

24. What does the average rate of change formula solve?
(-infinity - +infinity)
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 slope of a line containing two points
Y

25. Is an absolute value function even - odd or neither?
X^2
Even
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

26. What is the vertex?
(-infinity - +infinity)
F(x)=x^3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points

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?
X^2
F(x)=IxI
Horizontal
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. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - 0]you[0 - +infinity)
4 -6 -9
In a quotient
Yes because two x's or domains can point to one y

29. What does linear equation mean?
[0 -+infinity)
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
Y=10

30. What direction does f(x)-c move in standard absolute value formula?
Only one
The first set of components of an ordered pair
Down
Absolute Value - Constant and Standard Quadratic

31. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
F(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph

32. What is a range?
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
The second set of components of an ordered pair
Perpendicular line
Yes because two x's or domains can point to one y

33. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
0<c<1 - horizontal stretching
Math 4 x - graph
1 -2 -3
(-infinity - +infinity)

34. What is the formula for to calculate the difference of a quotient function?
45 degree angle
F(x+h)-f(x)/h h cannot equal zero
F(x^1)=f(x^2)
Identity

35. What is the slope of a perpendicular line?
X2-x1 because the demonaitor of a quotient can never equal zero
Negative inverse
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

36. x= a real number is what type of equation?
F(x)=x^3
As many as you like
A line passing through two distinct points
Conditional

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

38. What points do you use to plot the inverse on a graph?
F(x+c) and f(x-c)
The opposite coordinates
[0 -+infinity)
1 -2 -3

39. What is the domain of the cube root function?
Y=x - identity function
(-infinity - +infinity)
The slope of a line containing two points
Math 4 x - graph

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

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41. What is a constant function?
F(x^1)=f(x^2)
Piecewise
The secant line
F(x) = x

42. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Conditional
Neither

43. What is the domain for a standard quadratic function?
Even
Y
(-infinity - +infinity)
Conditional

44. What is a domain?
F(x)=+c and f(x)-c
Y=10
The first set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph

45. What equation does every line have? Discuss the variables.
F(x)=3 square root x
The first set of components of an ordered pair
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

46. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)
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
(-infinity - 0]you[0 - +infinity)

47. What is the average rate of change formula?
45 degree angle
F(x)=3 square root x
F(x2)-f(x1) / x2-x1
No because you cannot have one domain pointing at two y's or ranges

48. What are the calculator instructions for the cube root function?
Approach neg toward x through zero and above positive close to x
Square Root
(-infinity - +infinity)
Math 4 x - graph

49. What is the domain for an absolute value function?
The opposite coordinates
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
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

50. What is another way of writing the absolute value function?
0<c<1 - horizontal stretching
Y=IxI
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)