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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 slope intercept formula? Define all the variables.
Y=10
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Up

2. What is the domain of the cube root function?
F(x)=x^3
(-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

3. What is the range of a square root function?
Same
20+.05x=5+.10x x=minutes
[0 -+infinity)
Even

4. What is the range of an identity function?
M
The opposite coordinates
(-infinity - +infinity)
Y=10

5. What can never equal zero in the slope formula and why?
Negative slope
Any set of ordered pairs
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

6. What is the formula in both horizontal stretching and horizontal shrinking?
Yes because two x's or domains can point to one y
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

7. What does the average rate of change formula solve?
Parraelle line
Inconsistant
The slope of a line containing two points
(-infinity - 0]you[0 - +infinity)

8. What is the domain of a square root function?
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

9. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Absolute Value - Constant and Standard Quadratic
F(x) = x
45 degree angle

10. What are the four steps for finding the inverse of a function?
F(x)=IxI
Absolute Value - Constant and Standard Quadratic
(-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

11. What type of slope do horizontal lines have?
Yes - all the domains points to one range
Y=IxI
Same
[0 -+infinity)

12. What is the domain of the cube root function?
Any set of ordered pairs
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Negative slope

13. What is another way to write f(x)=x - what type of function is this?
Set the x and y to zero and get the intercepts and then plot the points
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
(-infinity - +infinity)

14. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse

15. What type of line is an identity function?
Parraelle line
Yes because two x's or domains can point to one y
F of g and g of f
45 degree angle

16. Which direction does f(x)=+c move in standard absolute value formula?
Up
F(x)=3 square root x
Y= then enter the number then press graph
F(x)=3 square root x

17. What does the standard cubic function look like on a 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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=suare root of x
Mirror image neg quadrant to that of the positive quandrant

18. Which direction does f(x-c) move
Horizontal right
(-infinity - +infinity)
Any set of ordered pairs
Odd

19. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant

20. Draw or discuss a constant function
F(x^1)=f(x^2)
Any set of ordered pairs
Cannot be drawn in quizlet
Inconsitent

21. Draw or discuss a decreasing function
Cannot be drawn in quizlet
45 degree angle
X^2
(-infinity - +infinity)

22. What equation does every line have? Discuss the variables.
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)=3 square root x
A line passing through two distinct points
Cannot be drawn in quizlet

23. How do you calculate a constant function in your calculator?
Cannot be drawn in quizlet
The slope of a line containing two points
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero

24. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Function notation
Set the x and y to zero and get the intercepts and then plot the points
Even

25. What are the calculator instructions for a square root function?
4 -6 -9
(-infinity - +infinity)
When does a graph not define y as a function of x?
2nd key - x^2 - graph

26. What is the formula in both horizontal stretching and horizontal shrinking?
Even
Math 4 x - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Up

27. x=no real numbers is what type of an equation?
The opposite coordinates
Undefined
Inconsistant
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

28. How are functions normally written?
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.
Yes - all the domains points to one range
Mirror image neg quadrant to that of the positive quandrant
As equations

29. What is the range of the cube root function?
(-infinity - +infinity)
A V
Even
1 -2 -3

30. When is the only time (-infinity - +infinity) is not the domain?
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)
In a quotient
X is the hours to repair the boat. $1603-532=anwser/63 = x

31. What type of slope do horizontal lines have?
Absolute Value - Constant and Standard Quadratic
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.
Cannot be drawn in quizlet
Same

32. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x
Three odd - cube root - identity - standard cubic
Undefined

33. What is the formula for to calculate the difference of a quotient function?
Equation of a line
The secant line
F(x+h)-f(x)/h h cannot equal zero
X=a

34. Which direction does f(x-c) move
(-infinity - +infinity)
Up
F(x+h)-f(x)/h h cannot equal zero
Horizontal right

35. What is the vertical line formula?
X=a
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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

36. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
[0 -+infinity)
F(x2)-f(x1) / x2-x1
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
1 -2 -3
Y=x - identity function
Parabola - up one and right three
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

38. Is the square root function odd - even or neither?
0<c<1 - horizontal stretching
Neither
Parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

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

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40. What does the standard cubic function look like on a graph?
Inconsistant
Y= then enter the number then press graph
(-infinity - 0]you[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant

41. What are the four steps for solving a linear equation?
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.
A line passing through two distinct points
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
Horizontal

42. What is the formula for the square root function?
F(x)=suare root of x
Horizontal right
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
Cannot be drawn in quizlet

43. What is the formula for an absolute value function?
In a quotient
F(x)=IxI
4 -6 -9
Perpendicular line

44. What is a range?
Math 4 x - graph
Line ascending to the right gradually
F(x)=IxI
The second set of components of an ordered pair

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

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46. What is another way to write f(x)=x - what type of function is this?
X=a
Y=x - identity function
In a quotient
Conditional

47. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Parabola - up one and right three
Undefined slope
Equation of a line

48. x= a real number is what type of equation?
F of g and g of f
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x

49. What is the standard quadratic function?
Same
Down
Cannot be drawn in quizlet
X^2

50. What is the vertical line formula?
Because the demintor of a quotient can never equal zero
The first set of components of an ordered pair
X=a
(-infinity - +infinity)