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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. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Square Root
The minimum or maximum points
(-infinity - +infinity)

2. x=no real numbers is what type of an equation?
Inconsitent
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
Inconsistant

3. 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
Y=10
M
X2-x1 because the demonaitor of a quotient can never equal zero

4. How are functions normally written?
As equations
45 degree angle
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=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

5. Is an absolute value function even - odd or neither?
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
4 -6 -9
Yes because two x's or domains can point to one y

6. What is the range of the constant function?
The single number y=
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Down
In a quotient

7. 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?
When does a graph not define y as a function of x?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

8. What is the vertical line formula?
X=a
Three odd - cube root - identity - standard cubic
No because you cannot have one domain pointing at two y's or ranges
Postiive slope

9. What is the formula for to calculate the difference of a quotient function?
Down
F(x+h)-f(x)/h h cannot equal zero
F(x+c) and f(x-c)
Negative inverse

10. What is the formula for the standard cubic function?
X = the original sale price and the formula is x - .40x =$276
F(x)=x^3
Undefined slope
As equations

11. x=all real numbers is what type of an equation?
Identity
Any set of ordered pairs
Piecewise
Y

12. standard absolute value - vertical shift formulas for positve and negative
Parabola
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
X=a

13. What are the calculator instructions for a square root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The opposite coordinates
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph

14. What does the absolute value function look like?
2nd key - x^2 - graph
Even
A V
A line passing through two distinct points

15. What is the domain for the standard cubic function?
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)
[0 -+infinity)
Y=b

16. What is the vertical line formula?
X=a
Three odd - cube root - identity - standard cubic
In a quotient
1 -2 -3

17. What is a constant function?
(-infinity - +infinity)
Horizontal left
C>1 - horizontal shrinking
F(x^1)=f(x^2)

18. How many domains can you have pointing to one range?
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 opposite coordinates
As many as you like
(-infinity - +infinity)

19. What is another way of writing the absolute value function?
Zero slope
Y=IxI
Inconsistant
F(x)=suare root of x

20. What is the domain of a square root function?
F of g and g of f
[0 -+infinity)
Math 4 x - graph
(-infinity - +infinity)

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

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22. What is the range for an absolute value function?
Parabola
(-infinity - 0]you[0 - +infinity)
Yes - all the domains points to one range
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

23. 4(x-7)=4x+28 is what type of an equation?
The single number y=
Inconsitent
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

24. How do you calculate a constant function in your calculator?
As many as you like
Horizontal left
Y= then enter the number then press graph
(-infinity - +infinity)

25. What is the range of an identity function?
(-infinity - +infinity)
Up
Y=x^2 - graph
Horizontal left

26. What is the range of the cube root function?
(-infinity - +infinity)
Negative slope
Horizontal
The minimum or maximum points

27. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
(-infinity - +infinity)

28. What is the domain for the standard cubic function?
F(x+c) and f(x-c)
Horizontal
Y=x^2 - graph
(-infinity - +infinity)

29. What are the algebra of functions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Only one

30. What is the range for the standard cubic function?
(-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
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero

31. Is a standard quadratic 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
Undefined
Even
F(x)=+c and f(x)-c

32. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Identity
Inconsistant
(-infinity - +infinity)

33. What equation does every line have? Discuss the variables.
F(x)=x^3
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-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.

34. What is the formula for to calculate the difference of a quotient function?
Cannot be drawn in quizlet
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
Perpendicular line
F(x+h)-f(x)/h h cannot equal zero

35. Is the standard cubic function odd - even or neither?
Y=x - identity function
The minimum or maximum points
Undefined
Odd

36. What is the range for the standard cubic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity
(-infinity - +infinity)
Odd

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
Any set of ordered pairs

38. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276
Function notation

39. Of the seven of algebra's common graph's how many are odd?
[0 -+infinity)
F(x+h)-f(x)/h h cannot equal zero
1 -2 -3
Three odd - cube root - identity - standard cubic

40. What shape is the standard quadratic function?
F(x)=x^3
F(x)=+c and f(x)-c
Parabola
(-infinity - +infinity)

41. Which direction does f(x+c) move
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 left
Down
F(x)=IxI

42. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
Even
Y= then enter the number then press graph
Odd

43. What are two examples of composit functions?
F of g and g of f
Parraelle line
The first set of components of an ordered pair
Conditional

44. Why can h not equal zero in the difference of a quotient function formula?
The opposite coordinates
As equations
Inconsitent
Because the demintor of a quotient can never equal zero

45. What is a domain?
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
Undefined slope

46. What is the formula in both horizontal stretching and horizontal shrinking?
Y=10
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The single number y=

47. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
As many as you like
As equations
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3

48. What is the standard quadratic function?
X2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph
Horizontal right
X^2

49. What is the domain for a standard quadratic function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Same
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

50. What is the formula for the square root function?
F(x+c) and f(x-c)
Same
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1