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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=f(cx) What does this formula represent?
Parabola
The first set of components of an ordered pair
Y=x - identity function
0<c<1 - horizontal stretching

2. $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 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
Square Root
Horizontal left
Line ascending to the right gradually

3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Zero slope
(-infinity - +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
Any set of ordered pairs

4. What is the formula for the cube root function?
F(x)=3 square root x
When does a graph not define y as a function of x?
(-infinity - +infinity)
1 -2 -3

5. What are the steps for solving a word problem?
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
F(x)=IxI
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

6. What does the absolute value function look like?
A V
Y=10
Horizontal left
F(x)=IxI

7. Is a standard quadratic function even - odd or neither?
Even
Identity
2nd key - x^2 - graph
Undefined

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

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9. What type of slope do horizontal lines have?
Odd
Same
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like

10. What type of line is a constant function?
Perpendicular line
C>1 - horizontal shrinking
Horizontal
Even

11. What type of line is a constant function?
Any set of ordered pairs
Horizontal
[0 -+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.

12. What is the domain for an absolute value function?
Inconsistant
(-infinity - +infinity)
[0 -+infinity)
0<c<1 - horizontal stretching

13. What does linear equation mean?
Equation of a line
X = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant
The single number y=

14. 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.
Up
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=IxI

15. How many domains can you have pointing to one range?
Any set of ordered pairs
As many as you like
(-infinity - 0]you[0 - +infinity)
The opposite coordinates

16. What type of slope do you have when a line falls left to right and m<0?
Horizontal
Undefined
Negative slope
Odd

17. Is an absolute value function even - odd or neither?
Even
Negative slope
Inconsistant
Equation of a line

18. What does the average rate of change formula solve?
Equation of a line
The slope of a line containing two points
The first set of components of an ordered pair
(-infinity - +infinity)

19. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x) = x
Parraelle line
Even

20. Is an absolute value function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even

21. What can we substitute for f(x)?
Approach neg toward x through zero and above positive close to x
Y
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

22. f(x) = x^2+3x+5 - what type of formula is this?
As many as you like
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

23. What is a constant function?
F(x^1)=f(x^2)
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
Conditional
Piecewise

24. Of the seven of algebra's common graph's how many are even?
Yes - all the domains points to one range
Neither
Inconsistant
Absolute Value - Constant and Standard Quadratic

25. How would this formula move f(x)=(x+1)^2-3
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
45 degree angle
Y= then enter the number then press graph

26. What can we substitute for f(x)?
Y
The opposite coordinates
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

27. What is another way of writing the absolute value function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=IxI
(-infinity - +infinity)
Cannot be drawn in quizlet

28. What are the calculator instructions for a square root function?
F of g and g of f
2nd key - x^2 - graph
The secant line
Y= then enter the number then press graph

29. What is the formula for the cube root function?
Odd
Horizontal right
F(x)=3 square root x
Only one

30. What is the range of the cube root function?
X = the original sale price and the formula is x - .40x =$276
The slope of a line containing two points
F of g and g of f
(-infinity - +infinity)

31. What is a relation?
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

32. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Three odd - cube root - identity - standard cubic
Postiive slope
Negative slope

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

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34. What type of slope do vertical lines have?
Undefined
F(x)=x^3
2nd key - x^2 - graph
Same

35. 4(x-7)=4x-28 is what type of an equation?
A line passing through two distinct points
Odd
Identity
The secant line

36. What are the four steps for finding the inverse of a function?
Horizontal right
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
Undefined

37. What is the domain of the cube root function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. What does the square root function look like on a graph?
As equations
Odd
Line ascending to the right gradually
Because the demintor of a quotient can never equal zero

39. What is a range?
Cannot be drawn in quizlet
Horizontal right
No because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair

40. What is the vertex?
Math 4 x - graph
0<c<1 - horizontal stretching
The minimum or maximum points
In a quotient

41. What is the average rate of change formula?
45 degree angle
M
F(x2)-f(x1) / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = x

42. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
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.

43. How many domains can you have pointing to one range?
45 degree angle
Y=10
Even
As many as you like

44. What is another way of writing the absolute value function?
Y=IxI
Conditional
45 degree angle
Conditional

45. Is the square root function odd - even or neither?
Neither
The first set of components of an ordered pair
(-infinity - +infinity)
Zero slope

46. What is the formula for an identity function?
Function notation
Horizontal left
F(x)=suare root of x
F(x) = x

47. What does linear equation mean?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points
Equation of a line

48. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - +infinity)
The single number y=
Only one

49. What is the letter used to represent slope?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Odd
M

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Yes because two x's or domains can point to one y
1 -2 -3
Y= then enter the number then press graph
(-infinity - +infinity)