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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 30 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. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points
As equations
0<c<1 - horizontal stretching

2. Of the seven of algebra's common graph's how many are neither?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
Square Root
45 degree angle

3. What type of slope do you have when a line falls left to right and m<0?
Square Root
Negative slope
Any set of ordered pairs
45 degree angle

4. Draw or discuss a decreasing function
The slope of a line containing two points
Undefined
Cannot be drawn in quizlet
When does a graph not define y as a function of x?

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

6. What is the range for an absolute value function?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)
Negative inverse
Identity

7. 4(x-7)=4x-28 is what type of an equation?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph

8. What is the range of a square root function?
Even
[0 -+infinity)
As equations
(-infinity - 0]you[0 - +infinity)

9. Of the seven of algebra's common graph's how many are neither?
Square Root
Identity
F(x)=x^3
The single number y=

10. What is an identity function?
No because you cannot have one domain pointing at two y's or ranges
45 degree angle
Y=b
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

11. Which direction does f(x+c) move
Up
Horizontal left
(-infinity - +infinity)
Down

12. What is the formula for the standard cubic function?
F(x)=x^3
Down
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse

13. Is an identity function even - odd or neither?
45 degree angle
Y=x - identity function
C>1 - horizontal shrinking
Odd

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

15. 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
Postiive slope
(-infinity - +infinity)
Conditional

16. x=all real numbers is what type of an equation?
Identity
Negative slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left

17. What type of slope do vertical lines have?
0<c<1 - horizontal stretching
F(x)=suare root of x
Undefined
Only one

18. What does the square root function look like on a graph?
Line ascending to the right gradually
F(x+c) and f(x-c)
Zero slope
Parabola - up one and right three

19. Which direction does f(x-c) move
The opposite coordinates
Horizontal right
Odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

20. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Y=IxI
F(x)=+c and f(x)-c
F(x)=x^3

21. What is a range?
The first set of components of an ordered pair
Parabola - up one and right three
The second set of components of an ordered pair
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

22. What is another way of writing the absolute value function?
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=IxI
Yes - all the domains points to one range

23. A flat line underlining one vertical line is a symbol for...
F(x+c) and f(x-c)
Neither
F(x2)-f(x1) / x2-x1
Perpendicular line

24. What is the formula for an absolute value function?
F(x)=suare root of x
F(x)=IxI
As many as you like
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

25. $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?
F(x)=x^3
Conditional
Odd
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

26. What is the point slope formula and when do you use it?
Y=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=+c and f(x)-c
Y= then enter the number then press graph

27. 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
Postiive slope
(-infinity - +infinity)
The slope of a line containing two points

28. Which direction does f(x)=+c move in standard absolute value formula?
[0 -+infinity)
Because the demintor of a quotient can never equal zero
0<c<1 - horizontal stretching
Up

29. What is the letter used to represent slope?
(-infinity - +infinity)
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
M

30. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x) = x
The minimum or maximum points
(-infinity - +infinity)

31. What type of slope do you have when m=? and the line is vertical?
Undefined slope
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
X is the hours to repair the boat. $1603-532=anwser/63 = x

32. 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.
X=a
Identity
Function notation

33. What is the domain of the cube root function?
Parraelle line
20+.05x=5+.10x x=minutes
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

34. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
F(x^1)=f(x^2)

35. What type of slope do horizontal lines have?
(-infinity - +infinity)
Same
Y=IxI
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. What is another way to write f(x)=x - what type of function is this?
Function notation
Y=10
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.

37. How many ranges can you have for each domain?
Only one
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal
Same

38. 4(x-7)=4x-28 is what type of an equation?
Y=x^2 - graph
Identity
Cannot be drawn in quizlet
F(x+c) and f(x-c)

39. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Identity
Y=10
Horizontal

40. What is slope?
(-infinity - +infinity)
Zero 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
A line passing through two distinct points

41. What is a function?
Y=x^2 - graph
Negative slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y

42. x= a real number is what type of equation?
Parabola
Conditional
(-infinity - +infinity)
Down

43. What equation does every line have? Discuss the variables.
[0 -+infinity)
1 -2 -3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.

44. y=f(cx) What does this formula represent?
Line ascending to the right gradually
0<c<1 - horizontal stretching
Y=IxI
Any set of ordered pairs

45. What is the formula for the square root function?
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=suare root of x
As many as you like

46. What is the range of an identity function?
Only one
(-infinity - +infinity)
Inconsistant
The minimum or maximum points

47. What does linear equation mean?
Because the demintor of a quotient can never equal zero
Negative slope
F(x)=+c and f(x)-c
Equation of a line

48. What are the calculator instructions for the standard cubic function?
Three odd - cube root - identity - standard cubic
X math 3 graph
45 degree angle
Parabola - up one and right three

49. What direction does f(x)-c move in standard absolute value formula?
X2-x1 because the demonaitor of a quotient can never equal zero
Down
A line passing through two distinct points
Y= then enter the number then press graph

50. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Mirror image neg quadrant to that of the positive quandrant
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
Perpendicular line
Parabola - up one and right three