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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. 4x+5x=8x is what type of an equation?
Horizontal left
[0 -+infinity)
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

2. What are two examples of composit functions?
Horizontal left
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
Cannot be drawn in quizlet
F of g and g of f

3. What is the horizontal line formula?
Y=b
Cannot be drawn in quizlet
Conditional
Perpendicular line

4. standard absolute value - vertical shift formulas for positve and negative
C>1 - horizontal shrinking
F(x)=+c and f(x)-c
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative inverse

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

6. What is the formula for slope?
The first set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

7. What can never equal zero in the slope formula and why?
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.
X2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates
Negative inverse

8. $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?
Postiive slope
Negative inverse
F(x)=IxI
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

9. What is the range for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
Horizontal right
(-infinity - +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.

10. In an identity function if f(10)=x than What is y?
Neither
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Horizontal right

11. What is the domain of a square root function?
F(x)=3 square root x
X=a
1 -2 -3
[0 -+infinity)

12. What is the standard quadratic function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The first set of components of an ordered pair
X^2
45 degree angle

13. What is the range for the standard cubic function?
(-infinity - +infinity)
Perpendicular line
M
Piecewise

14. How are functions normally written?
Any set of ordered pairs
As equations
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

15. What is the point slope formula and when do you use it?
F(x^1)=f(x^2)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Yes - all the domains points to one range
Horizontal right

16. Of the seven of algebra's common graph's how many are even?
Horizontal
Down
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph

17. Which direction does f(x+c) move
Conditional
Horizontal left
4 -6 -9
F(x)=IxI

18. Of the seven of algebra's common graph's how many are odd?
Line ascending to the right gradually
F(x) = 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.
Three odd - cube root - identity - standard cubic

19. How would this formula move f(x)=(x+1)^2-3
Horizontal
Up
Undefined
Parabola - up one and right three

20. 4x+5x=8x is what type of an equation?
Cannot be drawn in quizlet
The second set of components of an ordered pair
As equations
Conditional

21. What is the horizontal line formula?
The second set of components of an ordered pair
A line passing through two distinct points
Y=b
Line ascending to the right gradually

22. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
The secant line
Horizontal
The first set of components of an ordered pair

23. What is the formula for the standard cubic function?
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity
F(x)=x^3

24. What is the formula for the cube root function?
(-infinity - +infinity)
F(x)=3 square root x
Cannot be drawn in quizlet
(-infinity - +infinity)

25. What is the vertex?
F(x)=x^3
Odd
Piecewise
The minimum or maximum points

26. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
(-infinity - +infinity)
F(x)=3 square root x

27. 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
F(x2)-f(x1) / x2-x1
F(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x

28. What is a function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x - identity function

29. What is the range of the cube root function?
M
Parabola - up one and right three
(-infinity - +infinity)
Conditional

30. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Y= then enter the number then press graph
Yes - all the domains points to one range
F(x)=3 square root x

31. What is the domain for a standard quadratic function?
M
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Cannot be drawn in quizlet

32. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
Approach neg toward x through zero and above positive close to x
Parraelle line

33. Two vertical lines side by side are a symbol for what
Negative inverse
Down
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parraelle line

34. How do you graph Ax+By+C=0?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
As many as you like
Set the x and y to zero and get the intercepts and then plot the points

35. Of the seven of algebra's common graph's how many are neither?
F(x)=suare root of x
Identity
Parabola - up one and right three
Square Root

36. What can we substitute for f(x)?
Because the demintor of a quotient can never equal zero
Y
F of g and g of f
2nd key - x^2 - graph

37. Draw or discuss a constant function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
Y=x - identity function
Undefined slope

38. Which direction does f(x-c) move
Horizontal right
The first set of components of an ordered pair
Y=x^2 - graph
Cannot be drawn in quizlet

39. x=no real numbers is what type of an equation?
Inconsistant
45 degree angle
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

40. What type of slope do you have when the line is horizontal and m=0?
F(x+h)-f(x)/h h cannot equal zero
Approach neg toward x through zero and above positive close to x
Zero slope
Absolute Value - Constant and Standard Quadratic

41. What is the slope of a perpendicular line?
(-infinity - +infinity)
Negative inverse
Cannot be drawn in quizlet
The slope of a line containing two points

42. How many ranges can you have for each domain?
Only one
Y=x - identity function
Up
Y

43. What type of slope do you have when the line is horizontal and m=0?
As equations
The single number y=
Mirror image neg quadrant to that of the positive quandrant
Zero slope

44. What type of line is a constant function?
The first set of components of an ordered pair
Horizontal
45 degree angle
Mirror image neg quadrant to that of the positive quandrant

45. Is the standard cubic function odd - even or neither?
Horizontal left
F(x)=suare root of x
(-infinity - +infinity)
Odd

46. Why can h not equal zero in the difference of a quotient function formula?
2nd catalog (zero key -) abs(x) - graph
Because the demintor of a quotient can never equal zero
F(x2)-f(x1) / x2-x1
F of g and g of f

47. Draw or discuss a decreasing function
Horizontal
Cannot be drawn in quizlet
Y
C>1 - horizontal shrinking

48. standard absolute value - horizontal shift formulas for left and right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsitent
F(x+c) and f(x-c)
Because the demintor of a quotient can never equal zero

49. What type of line is a constant function?
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
Identity

50. What are the calculator instructions for the standard cubic function?
As equations
Line ascending to the right gradually
F(x^1)=f(x^2)
X math 3 graph