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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 slope?
Y=b
Math 4 x - graph
A line passing through two distinct points
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.

2. What is the standard quadratic function?
Odd
F(x)=+c and f(x)-c
Y=x - identity function
X^2

3. What is a function?
F(x+h)-f(x)/h h cannot equal zero
A line passing through two distinct points
X=a
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. What is the formula for the cube root function?
Horizontal right
Yes because two x's or domains can point to one y
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

5. What are the algebra of functions?
45 degree angle
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
[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.
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

7. What type of slope do you have when a line rises from left to right and m>0?
The slope of a line containing two points
Postiive slope
F(x)=x^3
(-infinity - +infinity)

8. How many ranges can you have for each domain?
Only one
Zero slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=x^3

9. When is the only time (-infinity - +infinity) is not the domain?
Parabola - up one and right three
The slope of a line containing two points
In a quotient
[0 -+infinity)

10. Is a standard quadratic function even - odd or neither?
1 -2 -3
Even
The single number y=
Equation of a line

11. 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?
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
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
Negative inverse

12. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
F(x^1)=f(x^2)

13. What is the formula for the cube root function?
F(x)=3 square root x
45 degree angle
Down
(-infinity - +infinity)

14. What does the standard cubic function look like on a graph?
Inconsitent
Y=b
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
Mirror image neg quadrant to that of the positive quandrant

15. Of the seven of algebra's common graph's how many are odd?
Negative slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

16. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
X^2
X math 3 graph
(-infinity - +infinity)

17. What are the calculator instructions for a standard quadratic equation?
Negative inverse
Y=x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
0<c<1 - horizontal stretching

18. What type of slope do horizontal lines have?
Y=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd
Same

19. What is the range for an absolute value function?
(-infinity - +infinity)
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)

20. What direction does f(x)-c move in standard absolute value formula?
Down
Because the demintor of a quotient can never equal zero
Zero slope
Conditional

21. f(x) = x^2+3x+5 - what type of formula is this?
Piecewise
F(x)=x^3
Identity
Function notation

22. Draw or discuss a constant function
Line ascending to the right gradually
Cannot be drawn in quizlet
Undefined slope
Horizontal

23. What shape is the standard quadratic function?
Down
Parabola
C>1 - horizontal shrinking
Undefined slope

24. What is the domain for the standard cubic function?
Piecewise
C>1 - horizontal shrinking
Even
(-infinity - +infinity)

25. What is the horizontal line formula?
Y=b
Math 4 x - graph
Up
(-infinity - +infinity)

26. Draw or discuss an increasing function
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero
Parabola
Line ascending to the right gradually

27. What type of slope do you have when a line falls left to right and m<0?
Y=x^2 - graph
F(x+c) and f(x-c)
Negative slope
As many as you like

28. What is the slope of a perpendicular line?
Negative inverse
X is the hours to repair the boat. $1603-532=anwser/63 = x
A line passing through two distinct points
Y=10

29. $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?
Y=IxI
(-infinity - +infinity)
The second set of components of an ordered pair
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

30. What type of slope do horizontal lines have?
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd
Same
Horizontal

31. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
In a quotient
Horizontal
Same

32. 4(x-7)=4x-28 is what type of an equation?
Y= then enter the number then press graph
Square Root
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

33. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
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.
Equation of a line
20+.05x=5+.10x x=minutes
F(x)=3 square root x

34. x=all real numbers is what type of an equation?
Y=x - identity function
Identity
X is the hours to repair the boat. $1603-532=anwser/63 = x
X = the original sale price and the formula is x - .40x =$276

35. What is the slope intercept formula? Define all the variables.
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The first set of components of an ordered pair
Identity

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=b
1 -2 -3
As many as you like
(-infinity - +infinity)

37. In an identity function if f(10)=x than What is y?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Y=10
(-infinity - 0]you[0 - +infinity)

38. standard absolute value - vertical shift formulas for positve and negative
Odd
F(x)=+c and f(x)-c
In a quotient
Any set of ordered pairs

39. What does the absolute value function look like?
(-infinity - +infinity)
Down
A V
Postiive slope

40. Is an absolute value function even - odd or neither?
As many as you like
F(x) = x
Even
Function notation

41. What can we substitute for f(x)?
Square Root
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y
Set the x and y to zero and get the intercepts and then plot the points

42. What type of line is a constant function?
F of g and g of f
No because you cannot have one domain pointing at two y's or ranges
Horizontal
When does a graph not define y as a function of x?

43. What is the range for an absolute value function?
X^2
F of g and g of f
Horizontal left
(-infinity - 0]you[0 - +infinity)

44. Which direction does f(x+c) move
F(x^1)=f(x^2)
Equation of a line
Horizontal left
Cannot be drawn in quizlet

45. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
C>1 - horizontal shrinking
(-infinity - +infinity)
The minimum or maximum points

46. Draw or discuss a decreasing function
Y=x^2 - graph
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
F(x)=x^3

47. What are two examples of composit functions?
F of g and g of f
Parraelle line
Neither
1 -2 -3

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

49. What is the domain of the cube root function?
2nd key - x^2 - graph
Identity
(-infinity - +infinity)
F(x^1)=f(x^2)

50. What is the letter used to represent slope?
Y=b
(-infinity - +infinity)
Square Root
M