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

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2. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
X^2
Odd
The secant line

3. y=f(cx) What does this formula represent?
The first set of components of an ordered pair
0<c<1 - horizontal stretching
C>1 - horizontal shrinking
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 range for an absolute value function?
Y=x - identity function
Parabola - up one and right three
As many as you like
(-infinity - 0]you[0 - +infinity)

5. Is an identity function even - odd or neither?
Same
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd
Conditional

6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
As many as you like
F(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes
F(x2)-f(x1) / x2-x1

7. What is the formula for an identity function?
Square Root
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
F(x) = x

8. What can never equal zero in the slope formula and why?
Absolute Value - Constant and Standard Quadratic
4 -6 -9
X^2
X2-x1 because the demonaitor of a quotient can never equal zero

9. What are two examples of composit functions?
F of g and g of f
Math 4 x - graph
Mirror image neg quadrant to that of the positive quandrant
The opposite coordinates

10. What does the absolute value function look like?
A V
2nd catalog (zero key -) abs(x) - graph
F(x)=+c and f(x)-c
45 degree angle

11. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Zero slope
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.
20+.05x=5+.10x x=minutes
F(x) = x

12. What is the domain of a square root function?
Up
[0 -+infinity)
Inconsitent
(-infinity - 0]you[0 - +infinity)

13. How many ranges can you have for each domain?
The secant line
As many as you like
Only one
Any set of ordered pairs

14. What type of slope do horizontal lines have?
Mirror image neg quadrant to that of the positive quandrant
Same
Yes because two x's or domains can point to one y
Horizontal left

15. Draw or discuss an increasing function
Identity
F(x+c) and f(x-c)
Cannot be drawn in quizlet
Parraelle line

16. y=f(cx) - What does this formula represent?
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking
Yes - all the domains points to one range
Cannot be drawn in quizlet

17. What is the range for the standard cubic function?
[0 -+infinity)
(-infinity - +infinity)
Function notation
Down

18. What is another way of writing the absolute value function?
Y=IxI
Yes - all the domains points to one range
Line ascending to the right gradually
Y=x - identity function

19. Is the standard cubic function odd - even or neither?
Cannot be drawn in quizlet
Odd
Horizontal
F(x)=3 square root x

20. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse
(-infinity - +infinity)
Parraelle line

21. What direction does f(x)-c move in standard absolute value formula?
Yes - all the domains points to one range
X = the original sale price and the formula is x - .40x =$276
Down
When does a graph not define y as a function of x?

22. What are the four steps for solving a linear equation?
Inconsistant
The secant line
Any set of ordered pairs
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.

23. What is the formula for an absolute value function?
F(x)=IxI
Down
Parabola
45 degree angle

24. Of the seven of algebra's common graph's how many are neither?
Square Root
Cannot be drawn in quizlet
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

25. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
Undefined slope
Neither

26. Is the standard cubic function odd - even or neither?
Odd
Conditional
Conditional
Horizontal

27. 4(x-7)=4x+28 is what type of an equation?
The first set of components of an ordered pair
Inconsitent
Because the demintor of a quotient can never equal zero
The opposite coordinates

28. $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?
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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
No because you cannot have one domain pointing at two y's or ranges

29. What is the standard quadratic function?
[0 -+infinity)
(-infinity - +infinity)
F(x^1)=f(x^2)
X^2

30. What is the domain of the cube root function?
(-infinity - +infinity)
Zero slope
Yes - all the domains points to one range
Same

31. What is the range for an absolute value function?
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
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)

32. What is the slope of a perpendicular line?
Negative inverse
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually
Yes - all the domains points to one range

33. Is an identity function even - odd or neither?
Odd
Y=b
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

34. What is the vertex?
Inconsitent
Y=x - identity function
F(x^1)=f(x^2)
The minimum or maximum points

35. standard absolute value - horizontal shift formulas for left and right
F(x) = x
The opposite coordinates
Set the x and y to zero and get the intercepts and then plot the points
F(x+c) and f(x-c)

36. What is a constant function?
F(x^1)=f(x^2)
Three odd - cube root - identity - standard cubic
Function notation
X2-x1 because the demonaitor of a quotient can never equal zero

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

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38. f(x) = x^2+3x+5 - what type of formula is this?
X = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range
Function notation
The second set of components of an ordered pair

39. Draw or discuss a decreasing function
Cannot be drawn in quizlet
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1

40. How many domains can you have pointing to one range?
When does a graph not define y as a function of x?
As many as you like
X^2
X2-x1 because the demonaitor of a quotient can never equal zero

41. Which direction does f(x+c) move
Undefined
M
Only one
Horizontal left

42. 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
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
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x

43. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
The slope of a line containing two points
A V
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined slope

44. How would this formula move f(x)=(x+1)^2-3
A V
Piecewise
Line ascending to the right gradually
Parabola - up one and right three

45. What is the vertical line formula?
Math 4 x - graph
Negative inverse
Square Root
X=a

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x)=suare root of x
4 -6 -9
F(x)=IxI
0<c<1 - horizontal stretching

47. 4(x-7)=4x-28 is what type of an equation?
Piecewise
As many as you like
Identity
X = the original sale price and the formula is x - .40x =$276

48. What is the range of the constant function?
The slope of a line containing two points
Y=10
The single number y=
Inconsistant

49. Is a constant function even - odd or neither?
(-infinity - +infinity)
Y=b
Even
Odd

50. What is the domain of a square root function?
Yes - all the domains points to one range
C>1 - horizontal shrinking
[0 -+infinity)
Y=x^2 - graph