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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 line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
Equation of a line
2nd key - x^2 - graph

2. What are the steps for solving a word problem?
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
M
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.
Horizontal

3. x= a real number is what type of equation?
Conditional
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=+c and f(x)-c

4. What are the calculator instructions for the cube root function?
Same
Math 4 x - graph
Piecewise
M

5. Of the seven of algebra's common graph's how many are even?
Identity
Absolute Value - Constant and Standard Quadratic
Parraelle line
Odd

6. Of the seven of algebra's common graph's how many are neither?
45 degree angle
F(x)=3 square root x
Square Root
2nd catalog (zero key -) abs(x) - graph

7. What is the point slope formula and when do you use it?
(-infinity - +infinity)
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points

8. What does the average rate of change formula solve?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
The slope of a line containing two points
F(x)=suare root of x

9. What is the domain of a square root function?
Neither
[0 -+infinity)
When does a graph not define y as a function of x?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

10. What is the range of the cube root function?
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
(-infinity - +infinity)
F(x)=suare root of x
A line passing through two distinct points

11. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X=a
F(x)=3 square root x
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points

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

13. What is the formula for the standard cubic function?
Set the x and y to zero and get the intercepts and then plot the points
F(x)=x^3
Odd
4 -6 -9

14. What type of slope do vertical lines have?
Y=x^2 - graph
Horizontal
F(x) = x
Undefined

15. How would this formula move f(x)=(x+1)^2-3
45 degree angle
Parabola - up one and right three
F(x^1)=f(x^2)
1 -2 -3

16. What is the vertical line test?
Set the x and y to zero and get the intercepts and then plot the points
In a quotient
Identity
When does a graph not define y as a function of x?

17. What type of slope do vertical lines have?
Identity
Undefined
Identity
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

18. What are the calculator instructions for the cube root function?
F(x+h)-f(x)/h h cannot equal zero
Math 4 x - graph
Identity
F(x) = x

19. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Inconsitent
The first set of components of an ordered pair
X math 3 graph

20. 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.
Yes - all the domains points to one range
X=a
F(x)=3 square root x

21. Is an identity function even - odd or neither?
Odd
Perpendicular line
(-infinity - +infinity)
Undefined slope

22. What is the range of an identity function?
Cannot be drawn in quizlet
The first set of components of an ordered pair
(-infinity - +infinity)
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

23. What is the range for the standard cubic function?
Identity
Identity
[0 -+infinity)
(-infinity - +infinity)

24. Is the square root function odd - even or neither?
F(x2)-f(x1) / x2-x1
Neither
45 degree angle
F(x)=suare root of x

25. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph

26. Is a constant function even - odd or neither?
Zero slope
Parraelle line
Even
Cannot be drawn in quizlet

27. What are the four steps for solving a linear equation?
M
F(x+h)-f(x)/h h cannot equal zero
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.
As many as you like

28. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y= then enter the number then press graph
Y=b
Parraelle line

29. Why can h not equal zero in the difference of a quotient function formula?
Function notation
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
45 degree angle

30. What is the vertical line formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
X=a
Undefined
F(x+c) and f(x-c)

31. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation
Undefined
F(x+h)-f(x)/h h cannot equal zero

32. What does the standard cubic function look like on a graph?
M
A line passing through two distinct points
Three odd - cube root - identity - standard cubic
Mirror image neg quadrant to that of the positive quandrant

33. What is a domain?
Y=10
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X=a
The first set of components of an ordered pair

34. What does the standard cubic function look like on a graph?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
Mirror image neg quadrant to that of the positive quandrant
Yes - all the domains points to one range

35. What is another way of writing the absolute value function?
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
Y=IxI
Y=x - identity function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. What is the domain for the standard cubic function?
M
X^2
Inconsitent
(-infinity - +infinity)

37. What points do you use to plot the inverse on a graph?
Line ascending to the right gradually
Math 4 x - graph
Down
The opposite coordinates

38. 4x+5x=8x is what type of an equation?
F(x^1)=f(x^2)
Any set of ordered pairs
Horizontal right
Conditional

39. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Y= then enter the number then press graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10

40. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
Undefined
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope

41. What type of slope do you have when the line is horizontal and m=0?
Horizontal
(-infinity - +infinity)
Zero slope
Odd

42. What is the horizontal line formula?
In a quotient
Y=b
F(x)=IxI
0<c<1 - horizontal stretching

43. What is the domain of an identity function?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
The single number y=
Odd

44. What type of line is an identity function?
Set the x and y to zero and get the intercepts and then plot the points
X math 3 graph
A line passing through two distinct points
45 degree angle

45. Of the seven of algebra's common graph's how many are odd?
Inconsistant
F(x)=IxI
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic

46. 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?
The second set of components of an ordered pair
Horizontal
Conditional
X is the hours to repair the boat. $1603-532=anwser/63 = x

47. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative slope
Negative slope
In a quotient

48. Draw or discuss a constant function
45 degree angle
Cannot be drawn in quizlet
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.
Conditional

49. Is a standard quadratic function even - odd or neither?
Even
F(x)=IxI
F of g and g of f
Equation of a line

50. Of the seven of algebra's common graph's how many are odd?
F(x)=x^3
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Undefined