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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 does the average rate of change formula solve?
(-infinity - +infinity)
Postiive slope
Neither
The slope of a line containing two points

2. What type of line is a constant function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Undefined slope
Horizontal

3. What is the slope intercept formula? Define all the variables.
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Math 4 x - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

4. What is the range for a standard quadratic function?
Down
Y=b
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
(-infinity - 0]you[0 - +infinity)

5. What is the average rate of change formula?
Conditional
F(x2)-f(x1) / x2-x1
Perpendicular line
Parraelle line

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
X math 3 graph
X2-x1 because the demonaitor of a quotient can never equal zero
4 -6 -9
(-infinity - +infinity)

7. What is the formula in both horizontal stretching and horizontal shrinking?
Negative slope
C>1 - horizontal shrinking
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

8. 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.
(-infinity - +infinity)
Square Root
The first set of components of an ordered pair

9. What type of slope do horizontal lines have?
Any set of ordered pairs
Piecewise
Same
Mirror image neg quadrant to that of the positive quandrant

10. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y
[0 -+infinity)

11. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
2nd key - x^2 - 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
Set the x and y to zero and get the intercepts and then plot the points
20+.05x=5+.10x x=minutes

12. Is an absolute value function even - odd or neither?
Y=b
Horizontal
Even
(-infinity - 0]you[0 - +infinity)

13. What type of function would you use to calculate the most advantageous cell phone plan?
Y=IxI
X math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise

14. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Down
Yes because two x's or domains can point to one y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X = the original sale price and the formula is x - .40x =$276

15. What is a relation?
Y= then enter the number then press graph
Any set of ordered pairs
Conditional
X is the hours to repair the boat. $1603-532=anwser/63 = x

16. What is an identity function?
Undefined slope
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
Odd

17. x=no real numbers is what type of an equation?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Inconsistant
Y=10

18. What can never equal zero in the slope formula and why?
Because the demintor of a quotient can never equal zero
X2-x1 because the demonaitor of a quotient can never equal zero
In a quotient
Conditional

19. What are the calculator instructions for a square root function?
F(x+c) and f(x-c)
F(x2)-f(x1) / x2-x1
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
2nd key - x^2 - graph

20. What is the range of an identity function?
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 - +infinity)
The first set of components of an ordered pair
Y= then enter the number then press graph

21. What is the vertical line test?
Equation of a line
When does a graph not define y as a function of x?
45 degree angle
F(x)=suare root of x

22. What type of line is an identity function?
Cannot be drawn in quizlet
45 degree angle
Parraelle line
(-infinity - +infinity)

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

24. What type of slope do you have when m=? and the line is vertical?
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.
45 degree angle
Undefined slope
Y=b

25. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Because the demintor of a quotient can never equal zero
1 -2 -3
Identity
Math 4 x - graph

26. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20+.05x=5+.10x x=minutes
F(x) = x
Horizontal

27. What is another way to write f(x)=x - what type of function is this?
Cannot be drawn in quizlet
Y=x - identity function
Undefined slope
Only one

28. What is the slope of a perpendicular line?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=x^3
Negative inverse
X=a

29. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Odd
Y=x - identity function
Y=x^2 - graph

30. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
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.
Line ascending to the right gradually
Postiive slope

31. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic
F(x2)-f(x1) / x2-x1
Identity

32. How are functions normally written?
(-infinity - +infinity)
Even
As equations
Inconsitent

33. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Yes because two x's or domains can point to one y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The second set of components of an ordered pair

34. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
The opposite coordinates
Because the demintor of a quotient can never equal zero
Math 4 x - graph

35. y=f(cx) - What does this formula represent?
Because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
C>1 - horizontal shrinking

36. How many ranges can you have for each domain?
Only one
(-infinity - +infinity)
F of g and g of f
Mirror image neg quadrant to that of the positive quandrant

37. $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?
Perpendicular line
(-infinity - +infinity)
F of g and g of f
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

38. What is the formula for the square root function?
2nd catalog (zero key -) abs(x) - graph
F(x)=suare root of x
Equation of a line
2nd catalog (zero key -) abs(x) - graph

39. What does the graph of the cube root function look like on the graph?
Horizontal
Piecewise
Approach neg toward x through zero and above positive close to x
Undefined slope

40. What is a relation?
Any set of ordered pairs
Parabola
Odd
Three odd - cube root - identity - standard cubic

41. What is a function?
Same
In a quotient
F(x2)-f(x1) / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

42. Is a standard quadratic function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
Y= then enter the number then press graph
M

43. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Absolute Value - Constant and Standard Quadratic
Because the demintor of a quotient can never equal zero
Conditional

44. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
No because you cannot have one domain pointing at two y's or ranges
Parabola
A V

45. Which direction does f(x)=+c move in standard absolute value formula?
Identity
Up
Function notation
Cannot be drawn in quizlet

46. What are the calculator instructions for the cube root function?
Math 4 x - graph
X=a
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet

47. What are the algebra of functions?
Zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x2)-f(x1) / x2-x1
Piecewise

48. How do you graph Ax+By+C=0?
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Set the x and y to zero and get the intercepts and then plot the points
Parraelle line

49. What is the average rate of change formula?
Horizontal right
X = the original sale price and the formula is x - .40x =$276
Parabola
F(x2)-f(x1) / x2-x1

50. Which direction does f(x+c) move
Horizontal left
20+.05x=5+.10x x=minutes
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet