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

2. What does the average rate of change formula solve?
Y=IxI
Identity
Three odd - cube root - identity - standard cubic
The slope of a line containing two points

3. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
F(x2)-f(x1) / x2-x1
Even
Absolute Value - Constant and Standard Quadratic

4. What is a constant function?
F(x^1)=f(x^2)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line

5. 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?
The slope of a line containing two points
M
X is the hours to repair the boat. $1603-532=anwser/63 = x
C>1 - horizontal shrinking

6. What is another way to write f(x)=x - what type of function is this?
2nd key - x^2 - graph
Y=x - identity function
A V
Parabola

7. What is a domain?
F(x) = x
The first set of components of an ordered pair
Conditional
(-infinity - +infinity)

8. What is the formula for an absolute value function?
Cannot be drawn in quizlet
Inconsitent
(-infinity - +infinity)
F(x)=IxI

9. What are the four steps for finding the inverse of a function?
Inconsistant
Even
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

10. What type of slope do vertical lines have?
Square Root
Undefined
[0 -+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

11. standard absolute value - horizontal shift formulas for left and right
As equations
The secant line
F(x+c) and f(x-c)
X math 3 graph

12. What is the standard quadratic function?
A V
The slope of a line containing two points
M
X^2

13. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
F(x)=IxI
X^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Up
(-infinity - +infinity)
The first set of components of an ordered pair

15. Is an identity function even - odd or neither?
Odd
20+.05x=5+.10x x=minutes
Identity
Negative inverse

16. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsistant
Parabola
C>1 - horizontal shrinking

17. Draw or discuss a decreasing function
Cannot be drawn in quizlet
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Zero slope

18. What equation does every line have? Discuss the variables.
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
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)=x^3

19. y=f(cx) - What does this formula represent?
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
C>1 - horizontal shrinking
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

20. Of the seven of algebra's common graph's how many are neither?
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
A line passing through two distinct points
Even

21. What type of line is an identity function?
Yes - all the domains points to one range
Y=x^2 - graph
Zero slope
45 degree angle

22. What is another way of writing the absolute value function?
Inconsistant
Y=IxI
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

23. 4x+5x=8x is what type of an equation?
F(x+c) and f(x-c)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional
4 -6 -9

24. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
As many as you like
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)

25. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
F of g and g of f
Cannot be drawn in quizlet
The second set of components of an ordered pair

26. What is the vertical line formula?
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
X=a
Absolute Value - Constant and Standard Quadratic

27. What shape is the standard quadratic function?
Parabola
Postiive slope
(-infinity - 0]you[0 - +infinity)
Horizontal left

28. standard absolute value - horizontal shift formulas for left and right
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
F(x+c) and f(x-c)
F(x) = x

29. What are the calculator instructions for a square root function?
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph
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
Same

30. What type of slope do horizontal lines have?
Same
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points
0<c<1 - horizontal stretching

31. What does the standard cubic function look like on a graph?
Set the x and y to zero and get the intercepts and then plot the points
Postiive slope
Mirror image neg quadrant to that of the positive quandrant
Even

32. What is the range for a standard quadratic function?
Conditional
(-infinity - 0]you[0 - +infinity)
Odd
The slope of a line containing two points

33. Which direction does f(x)=+c move in standard absolute value formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The first set of components of an ordered pair
Up
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

34. What is the range of an identity function?
(-infinity - +infinity)
4 -6 -9
The first set of components of an ordered pair
In a quotient

35. Is a standard quadratic function even - odd or neither?
The second set of components of an ordered pair
Even
Piecewise
Absolute Value - Constant and Standard Quadratic

36. What is the formula in both horizontal stretching and horizontal shrinking?
1 -2 -3
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
In a quotient

37. What are the four steps for solving a linear equation?
In a quotient
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
0<c<1 - horizontal stretching
(-infinity - +infinity)

38. Is a standard quadratic function even - odd or neither?
Yes because two x's or domains can point to one y
Approach neg toward x through zero and above positive close to x
Parabola
Even

39. What are the four steps for solving a linear equation?
F(x) = x
(-infinity - 0]you[0 - +infinity)
4 -6 -9
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.

40. What type of function would you use to calculate the most advantageous cell phone plan?
Down
Y=IxI
Piecewise
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

41. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
The opposite coordinates
F(x)=+c and f(x)-c
Perpendicular line

42. Which direction does f(x-c) move
Horizontal right
Y=x - identity function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola

43. 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
No because you cannot have one domain pointing at two y's or ranges
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsistant

44. What is the formula for the standard cubic function?
X2-x1 because the demonaitor of a quotient can never equal zero
A V
F(x)=x^3
Y=10

45. What is the domain for a standard quadratic function?
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Horizontal right

46. What is the range of the cube root function?
F(x)=IxI
(-infinity - +infinity)
Y=IxI
Negative slope

47. x=all real numbers is what type of an equation?
Identity
The opposite coordinates
2nd key - x^2 - graph
(-infinity - +infinity)

48. What is the formula for the cube root function?
F(x)=3 square root x
F(x)=suare root of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10

49. What are the calculator instructions for absolute value?
Odd
Approach neg toward x through zero and above positive close to x
2nd catalog (zero key -) abs(x) - graph
Identity

50. How do you calculate a constant function in your calculator?
X math 3 graph
(-infinity - +infinity)
Y= then enter the number then press graph
Neither