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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 type of slope do vertical lines have?
Odd
Negative inverse
Undefined
[0 -+infinity)

2. What is the vertex?
F(x2)-f(x1) / x2-x1
Zero slope
Odd
The minimum or maximum points

3. What is the domain for an absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The single number y=
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

4. What type of line is a constant function?
Equation of a line
Y=x - identity function
Horizontal
Piecewise

5. What is the range for the standard cubic function?
(-infinity - +infinity)
Y=x - identity function
Parabola
Inconsitent

6. What type of slope do vertical lines have?
Undefined
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x
Horizontal

7. What are the calculator instructions for a square root function?
Mirror image neg quadrant to that of the positive quandrant
Odd
2nd key - x^2 - graph
Neither

8. 4x+5x=8x is what type of an equation?
F of g and g of f
Conditional
As many as you like
F(x)=suare root of x

9. What type of slope do you have when a line falls left to right and m<0?
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 slope
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points

10. What are the four steps for solving a linear equation?
2nd catalog (zero key -) abs(x) - graph
2nd key - x^2 - graph
F(x^1)=f(x^2)
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.

11. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1
Neither

12. A flat line underlining one vertical line is a symbol for...
The second set of components of an ordered pair
The single number y=
Perpendicular line
(-infinity - +infinity)

13. Is the square root function odd - even or neither?
F(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
X^2
Neither

14. How would this formula move f(x)=(x+1)^2-3
Identity
Undefined slope
In a quotient
Parabola - up one and right three

15. What is the formula for an identity function?
F(x+h)-f(x)/h h cannot equal zero
F(x) = x
No because you cannot have one domain pointing at two y's or ranges
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.

16. What are the calculator instructions for a square root function?
Even
The single number y=
(-infinity - 0]you[0 - +infinity)
2nd key - x^2 - graph

17. What is the formula for to calculate the difference of a quotient function?
F of g and g of f
Parraelle line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+h)-f(x)/h h cannot equal zero

18. What is a relation?
Any set of ordered pairs
Math 4 x - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Down

19. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line
Conditional
Cannot be drawn in quizlet

20. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
The opposite coordinates
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parraelle line

21. What is the domain and range of a constant function?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
(-infinity - +infinity)
F(x) = x

22. What are the calculator instructions for a standard quadratic equation?
No because you cannot have one domain pointing at two y's or ranges
Negative 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.
Y=x^2 - graph

23. What type of line is a constant function?
A line passing through two distinct points
Yes because two x's or domains can point to one y
Horizontal
2nd key - x^2 - graph

24. What is the range of an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Approach neg toward x through zero and above positive close to 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

25. standard absolute value - horizontal shift formulas for left and right
Cannot be drawn in quizlet
F(x^1)=f(x^2)
Conditional
F(x+c) and f(x-c)

26. Draw or discuss a constant function
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
C>1 - horizontal shrinking
(-infinity - +infinity)

27. standard absolute value - horizontal shift formulas for left and right
Yes - all the domains points to one range
Conditional
When does a graph not define y as a function of x?
F(x+c) and f(x-c)

28. Of the seven of algebra's common graph's how many are neither?
Square Root
The first set of components of an ordered pair
Parabola
Absolute Value - Constant and Standard Quadratic

29. What is the vertical line test?
Inconsistant
X is the hours to repair the boat. $1603-532=anwser/63 = x
When does a graph not define y as a function of x?
Parabola - up one and right three

30. What can we substitute for f(x)?
The single number y=
Y
(-infinity - 0]you[0 - +infinity)
M

31. Draw or discuss an increasing function
Only one
Cannot be drawn in quizlet
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

32. x= a real number is what type of equation?
4 -6 -9
Conditional
Mirror image neg quadrant to that of the positive quandrant
Odd

33. x=no real numbers is what type of an equation?
Inconsistant
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
[0 -+infinity)

34. What is the formula for the square root function?
F(x)=suare root of x
[0 -+infinity)
As equations
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. What are the calculator instructions for a standard quadratic equation?
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
Y=x^2 - graph
4 -6 -9
(-infinity - 0]you[0 - +infinity)

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X=a
Change in y / change in x = rise / run = y2-y1 / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3

37. What can never equal zero in the slope formula and why?
X = the original sale price and the formula is x - .40x =$276
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
The opposite coordinates

38. 4(x-7)=4x-28 is what type of an equation?
Inconsitent
M
Identity
X2-x1 because the demonaitor of a quotient can never equal zero

39. x=all real numbers is what type of an equation?
Even
In a quotient
Piecewise
Identity

40. What points do you use to plot the inverse on a graph?
Undefined slope
The secant line
4 -6 -9
The opposite coordinates

41. What equation does every line have? Discuss the variables.
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.
No because you cannot have one domain pointing at two y's or ranges
1 -2 -3
Negative slope

42. What is a range?
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The second set of components of an ordered pair
Inconsistant

43. standard absolute value - vertical shift formulas for positve and negative
Mirror image neg quadrant to that of the positive quandrant
M
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=+c and f(x)-c

44. What is the range of the constant function?
The single number y=
Up
Even
Y= then enter the number then press graph

45. What is an identity function?
Absolute Value - Constant and Standard Quadratic
45 degree angle
Down
Negative inverse

46. What points do you use to plot the inverse on a graph?
The opposite coordinates
Horizontal left
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
Y

47. What is the formula for the standard cubic function?
X^2
(-infinity - +infinity)
F(x)=+c and f(x)-c
F(x)=x^3

48. What are two examples of composit functions?
Negative inverse
A V
X^2
F of g and g of f

49. What does the graph of the cube root function look like on the graph?
45 degree angle
As equations
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

50. What type of slope do horizontal lines have?
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Same