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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 formula for an absolute value function?
Up
Neither
Same
F(x)=IxI

2. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
F(x+c) and f(x-c)
The second set of components of an ordered pair
Piecewise

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Inconsitent
F(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph

4. What type of slope do you have when m=? and the line is vertical?
Any set of ordered pairs
(-infinity - +infinity)
Undefined slope
F(x+h)-f(x)/h h cannot equal zero

5. Draw or discuss a decreasing function
F(x2)-f(x1) / x2-x1
Yes - all the domains points to one range
Cannot be drawn in quizlet
Math 4 x - graph

6. What is the range for the standard cubic function?
Neither
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Horizontal

7. Of the seven of algebra's common graph's how many are neither?
Square Root
Negative inverse
Y= then enter the number then press graph
(-infinity - +infinity)

8. What is the standard quadratic function?
Postiive slope
X^2
Y=x^2 - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

9. What is the formula for the square root function?
Piecewise
F(x)=suare root of x
F(x^1)=f(x^2)
Identity

10. What type of function would you use to calculate the most advantageous cell phone plan?
Y=10
(-infinity - +infinity)
Piecewise
The minimum or maximum points

11. 4(x-7)=4x+28 is what type of an equation?
Identity
Inconsitent
(-infinity - +infinity)
(-infinity - +infinity)

12. What is the vertex?
Y=10
X = the original sale price and the formula is x - .40x =$276
The minimum or maximum points
Cannot be drawn in quizlet

13. What does the average rate of change formula solve?
Odd
The second set of components of an ordered pair
Zero slope
The slope of a line containing two points

14. Of the seven of algebra's common graph's how many are neither?
Square Root
Up
Postiive slope
No because you cannot have one domain pointing at two y's or ranges

15. f(x) = x^2+3x+5 - what type of formula is this?
Three odd - cube root - identity - standard cubic
Function notation
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.
The minimum or maximum points

16. What shape is the standard quadratic function?
Odd
Parabola
Y=x - identity function
(-infinity - +infinity)

17. What is the formula for to calculate the difference of a quotient function?
F(x)=IxI
Absolute Value - Constant and Standard Quadratic
F(x+h)-f(x)/h h cannot equal zero
Identity

18. Draw or discuss a constant function
Conditional
45 degree angle
Cannot be drawn in quizlet
The slope of a line containing two points

19. 4x+5x=8x is what type of an equation?
(-infinity - 0]you[0 - +infinity)
Odd
Conditional
X^2

20. Which direction does f(x)=+c move in standard absolute value formula?
2nd key - x^2 - graph
Up
[0 -+infinity)
Same

21. What does the absolute value function look like?
A V
Undefined
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x) = x

22. How many domains can you have pointing to one range?
A V
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=x^3
As many as you like

23. Of the seven of algebra's common graph's how many are odd?
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
2nd key - x^2 - graph
Three odd - cube root - identity - standard cubic

24. What points do you use to plot the inverse on a graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes - all the domains points to one range
The opposite coordinates
A V

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

26. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
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

27. What is the horizontal line formula?
Only one
Y=x^2 - graph
Horizontal
Y=b

28. What is the formula in both horizontal stretching and horizontal shrinking?
Undefined slope
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
Y=b

29. x=no real numbers is what type of an equation?
Inconsistant
Perpendicular line
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points

30. What is a range?
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
No because you cannot have one domain pointing at two y's or ranges
Only one

31. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Conditional
Parabola - up one and right three
1 -2 -3

32. What type of slope do horizontal lines have?
Same
The second set of components of an ordered pair
The single number y=
Even

33. What is the domain of an identity function?
Horizontal left
F of g and g of f
In a quotient
(-infinity - +infinity)

34. What is the slope intercept formula? Define all the variables.
In a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=+c and f(x)-c
F(x+c) and f(x-c)

35. Is a constant function even - odd or neither?
2nd key - x^2 - graph
A V
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.
Even

36. In an identity function if f(10)=x than What is y?
As equations
Y=10
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)

37. What is the domain for a standard quadratic function?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=3 square root x
Conditional

38. x=no real numbers is what type of an equation?
Absolute Value - Constant and Standard Quadratic
4 -6 -9
(-infinity - +infinity)
Inconsistant

39. How do you graph Ax+By+C=0?
Yes - all the domains points to one range
The opposite coordinates
The single number y=
Set the x and y to zero and get the intercepts and then plot the points

40. y=f(cx) - What does this formula represent?
[0 -+infinity)
(-infinity - +infinity)
Perpendicular line
C>1 - horizontal shrinking

41. What is the range of the cube root function?
Y=IxI
Y=b
45 degree angle
(-infinity - +infinity)

42. What is a function?
Horizontal
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Neither

43. Is a standard quadratic function even - odd or neither?
Even
Y=b
(-infinity - +infinity)
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.

44. How do you graph Ax+By+C=0?
Even
The slope of a line containing two points
X^2
Set the x and y to zero and get the intercepts and then plot the points

45. What is another way to write f(x)=x - what type of function is this?
As many as you like
Horizontal
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero

46. What is the range of the constant function?
Conditional
Conditional
The single number y=
Y= then enter the number then press graph

47. What are the calculator instructions for the cube root function?
C>1 - horizontal shrinking
Math 4 x - graph
In a quotient
Horizontal left

48. A flat line underlining one vertical line is a symbol for...
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Perpendicular line
Identity

49. What can never equal zero in the slope formula and why?
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
Piecewise
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

50. What is the formula for slope?
Approach neg toward x through zero and above positive close to x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal
Even