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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. Of the seven of algebra's common graph's how many are odd?
No because you cannot have one domain pointing at two y's or ranges
Undefined slope
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

2. What are the calculator instructions for the cube root function?
Down
Math 4 x - graph
[0 -+infinity)
Parabola

3. 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
Function notation
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero

4. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
Horizontal

5. What is the domain of the cube root function?
F(x)=IxI
(-infinity - +infinity)
Parraelle line
X=a

6. How are functions normally written?
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
As equations
The first set of components of an ordered pair

7. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Perpendicular line
The single number y=
F(x)=IxI

8. What type of slope do you have when the line is horizontal and m=0?
45 degree angle
X=a
Identity
Zero slope

9. A flat line underlining one vertical line is a symbol for...
The slope of a line containing two points
Line ascending to the right gradually
F(x+h)-f(x)/h h cannot equal zero
Perpendicular line

10. What is a constant function?
C>1 - horizontal shrinking
Undefined
X^2
F(x^1)=f(x^2)

11. What is the average rate of change formula?
Line ascending to the right gradually
Negative inverse
F(x2)-f(x1) / x2-x1
Three odd - cube root - identity - standard cubic

12. What is the formula for the standard cubic function?
C>1 - horizontal shrinking
Negative inverse
Horizontal left
F(x)=x^3

13. f(x) = x^2+3x+5 - what type of formula is this?
F(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function notation
X math 3 graph

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

15. What is the point slope formula and when do you use it?
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Identity
Up

16. What is the range for the standard cubic function?
Parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Parraelle line

17. What is an identity function?
The second set of components of an ordered pair
45 degree angle
Cannot be drawn in quizlet
(-infinity - +infinity)

18. Is an identity function even - odd or neither?
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=x^2 - graph
Odd

19. x=no real numbers is what type of an equation?
Y= then enter the number then press graph
C>1 - horizontal shrinking
Inconsistant
Y=IxI

20. standard absolute value - horizontal shift formulas for left and right
Inconsitent
F(x+c) and f(x-c)
Inconsistant
X = the original sale price and the formula is x - .40x =$276

21. What direction does f(x)-c move in standard absolute value formula?
Conditional
Down
[0 -+infinity)
(-infinity - +infinity)

22. Of the seven of algebra's common graph's how many are neither?
[0 -+infinity)
The secant line
Square Root
Y= then enter the number then press graph

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

24. What is the horizontal line formula?
Y=b
Mirror image neg quadrant to that of the positive quandrant
F(x)=+c and f(x)-c
Approach neg toward x through zero and above positive close to x

25. Is a constant function even - odd or neither?
Inconsitent
When does a graph not define y as a function of x?
Yes - all the domains points to one range
Even

26. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Parraelle line

27. What is the domain for a standard quadratic function?
F of g and g of f
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The slope of a line containing two points

28. What does the average rate of change formula solve?
Inconsistant
Piecewise
The slope of a line containing two points
Square Root

29. What are the calculator instructions for a standard quadratic equation?
F(x) = x
Math 4 x - graph
Square Root
Y=x^2 - graph

30. What type of line is a constant function?
The slope of a line containing two points
(-infinity - 0]you[0 - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal

31. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Set the x and y to zero and get the intercepts and then plot the points
The single number y=
F(x)=+c and f(x)-c

32. What is the vertical line test?
X math 3 graph
Zero slope
A line passing through two distinct points
When does a graph not define y as a function of x?

33. What is the formula for the square root function?
Down
Cannot be drawn in quizlet
Negative slope
F(x)=suare root of x

34. What is the range of an identity function?
F(x)=suare root of x
Horizontal
4 -6 -9
(-infinity - +infinity)

35. Which direction does f(x)=+c move in standard absolute value formula?
X2-x1 because the demonaitor of a quotient can never equal zero
Up
Even
Y=IxI

36. What is the slope of a perpendicular line?
Negative inverse
45 degree angle
Y=b
(-infinity - +infinity)

37. What is the formula for an absolute value function?
(-infinity - +infinity)
Y=IxI
F(x)=IxI
The minimum or maximum points

38. How do you graph Ax+By+C=0?
Up
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
Set the x and y to zero and get the intercepts and then plot the points
Down

39. What type of slope do you have when m=? and the line is vertical?
Any set of ordered pairs
The secant line
Y=x - identity function
Undefined slope

40. Which direction does f(x+c) move
Horizontal left
Horizontal
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

41. 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
(-infinity - +infinity)
F(x^1)=f(x^2)

42. What is another way to write f(x)=x - what type of function is this?
F(x)=suare root of x
Three odd - cube root - identity - standard cubic
Y=x - identity function
(-infinity - +infinity)

43. What type of slope do you have when m=? and the line is vertical?
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph
Yes because two x's or domains can point to one y
Undefined slope

44. What are the four steps for solving a linear equation?
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
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.
(-infinity - +infinity)

45. 4x+5x=8x is what type of an equation?
Yes because two x's or domains can point to one y
Down
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. What is the formula for the standard cubic function?
2nd catalog (zero key -) abs(x) - graph
Y=b
Because the demintor of a quotient can never equal zero
F(x)=x^3

47. What type of slope do horizontal lines have?
F(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
Same

48. Draw or discuss an increasing function
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
Yes - all the domains points to one range
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

49. What can never equal zero in the slope formula and why?
F(x)=x^3
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line
Math 4 x - graph

50. y=f(cx) - What does this formula represent?
F(x) = x
C>1 - horizontal shrinking
Zero slope
Any set of ordered pairs