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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 horizontal line formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
Conditional
Y=b

2. What is the formula for an absolute value function?
Equation of a line
F(x)=IxI
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

3. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
As equations

4. What is the range for a standard quadratic function?
F(x^1)=f(x^2)
(-infinity - 0]you[0 - +infinity)
20+.05x=5+.10x x=minutes
The opposite coordinates

5. What is a domain?
F(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
The first set of components of an ordered pair

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The first set of components of an ordered pair
Math 4 x - graph
Postiive slope
4 -6 -9

7. What is the range for an absolute value function?
45 degree angle
(-infinity - 0]you[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.
Horizontal

8. How many domains can you have pointing to one range?
As many as you like
Conditional
F(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph

9. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
When does a graph not define y as a function of x?
Parraelle line
A V

10. Draw or discuss an increasing function
C>1 - horizontal shrinking
Cannot be drawn in quizlet
2nd key - x^2 - graph
The single number y=

11. How are functions normally written?
Y=x^2 - graph
Function notation
As equations
A V

12. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
Zero slope
Identity
Function notation

13. What does the square root function look like on a graph?
Inconsistant
Line ascending to the right gradually
Cannot be drawn in quizlet
(-infinity - +infinity)

14. When is the only time (-infinity - +infinity) is not the domain?
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points
In a quotient
A line passing through two distinct points

15. What is the formula for the cube root function?
F(x)=3 square root x
(-infinity - +infinity)
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes

16. What type of slope do horizontal lines have?
Same
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
Conditional

17. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise

18. What is the range of the constant function?
The first set of components of an ordered pair
Y=x - identity function
Yes because two x's or domains can point to one y
The single number y=

19. What is the vertical line test?
Yes because two x's or domains can point to one y
When does a graph not define y as a function of x?
[0 -+infinity)
Function notation

20. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
As many as you like
X2-x1 because the demonaitor of a quotient can never equal zero
Perpendicular line

21. What is a relation?
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
Any set of ordered pairs
Conditional

22. What type of slope do you have when m=? and the line is vertical?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
C>1 - horizontal shrinking
Undefined slope

23. standard absolute value - horizontal shift formulas for left and right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=IxI
F(x+c) and f(x-c)
(-infinity - +infinity)

24. What is the domain of the cube root function?
Conditional
Yes - all the domains points to one range
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

25. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Undefined slope
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet

26. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
Y= then enter the number then press graph
Line ascending to the right gradually
(-infinity - +infinity)

27. What does the average rate of change formula solve?
Negative slope
Identity
The slope of a line containing two points
Perpendicular line

28. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic
Y

29. What is another way of writing the absolute value function?
No because you cannot have one domain pointing at two y's or ranges
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
Y=IxI
Even

30. What is the standard quadratic function?
Any set of ordered pairs
X^2
Y=x - identity function
4 -6 -9

31. What shape is the standard quadratic function?
(-infinity - +infinity)
Even
4 -6 -9
Parabola

32. What can we substitute for f(x)?
Y
(-infinity - 0]you[0 - +infinity)
Piecewise
X^2

33. $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?
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)
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

34. x= a real number is what type of equation?
The secant line
Conditional
2nd key - x^2 - graph
2nd key - x^2 - graph

35. What does linear equation mean?
Equation of a line
M
Zero slope
Yes because two x's or domains can point to one y

36. What type of line is a constant function?
Horizontal
Postiive slope
As equations
F(x) = x

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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.
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
Piecewise
Square Root

38. y=f(cx) What does this formula represent?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points
0<c<1 - horizontal stretching
F(x^1)=f(x^2)

39. What is the slope of a perpendicular line?
Negative inverse
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
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)

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

41. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Parabola - up one and right three
(-infinity - +infinity)
Neither

42. What does linear equation mean?
Equation of a line
(-infinity - +infinity)
Square Root
X^2

43. standard absolute value - vertical shift formulas for positve and negative
Parabola
F(x)=+c and f(x)-c
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.
The secant line

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

45. Draw or discuss a constant function
Negative slope
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet

46. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]you[0 - +infinity)
X=a
F(x+c) and f(x-c)

47. What type of slope do you have when the line is horizontal and m=0?
Parabola
Zero slope
Odd
Down

48. What does the average rate of change formula solve?
The slope of a line containing two points
Inconsitent
Inconsistant
Same

49. What are the calculator instructions for a square root function?
(-infinity - +infinity)
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
2nd key - x^2 - graph

50. Which direction does f(x+c) move
Horizontal left
Odd
4 -6 -9
Approach neg toward x through zero and above positive close to x