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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Even
Conditional
Cannot be drawn in quizlet

2. What is the slope intercept formula? Define all the variables.
F(x)=x^3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Identity
Undefined

3. What is the range of the cube root function?
F(x)=+c and f(x)-c
C>1 - horizontal shrinking
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

4. What type of slope do you have when a line falls left to right and m<0?
Negative slope
X^2
Conditional
Undefined

5. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
The slope of a line containing two points
Math 4 x - graph

6. What is the range for an absolute value function?
(-infinity - 0]you[0 - +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.
F(x)=IxI
No because you cannot have one domain pointing at two y's or ranges

7. What is a function?
Zero slope
Square Root
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The second set of components of an ordered pair

8. standard absolute value - vertical shift formulas for positve and negative
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs
F(x)=+c and f(x)-c
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

9. x=all real numbers is what type of an equation?
Negative slope
Y=x - identity function
Identity
Zero slope

10. Draw or discuss a decreasing function
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)
F(x^1)=f(x^2)

11. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
2nd catalog (zero key -) abs(x) - graph
Even
Horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. What is a constant function?
Function notation
X=a
F(x^1)=f(x^2)
The secant line

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X = the original sale price and the formula is x - .40x =$276

14. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

15. What does the square root function look like on a graph?
Line ascending to the right gradually
Cannot be drawn in quizlet
Zero slope
The single number y=

16. What is the formula for the cube root function?
Horizontal
F(x)=3 square root x
Identity
Horizontal right

17. What is the vertex?
F(x)=suare root of x
Y=x - identity function
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points

18. What is the domain and range of a constant function?
Yes - all the domains points to one range
(-infinity - +infinity)
Parabola
Three odd - cube root - identity - standard cubic

19. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
1 -2 -3
The single number y=
(-infinity - +infinity)

20. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Even
0<c<1 - horizontal stretching
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

21. Draw or discuss a constant function
Even
The opposite coordinates
(-infinity - +infinity)
Cannot be drawn in quizlet

22. What can never equal zero in the slope formula and why?
Because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd catalog (zero key -) abs(x) - graph
X2-x1 because the demonaitor of a quotient can never equal zero

23. What can we substitute for f(x)?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y
Down
Cannot be drawn in quizlet

24. What is the formula for the square root function?
The first set of components of an ordered pair
Negative inverse
F(x)=suare root of x
Cannot be drawn in quizlet

25. How are functions normally written?
Line ascending to the right gradually
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations
The second set of components of an ordered pair

26. 4x+5x=8x is what type of an equation?
F(x)=suare root of x
The first set of components of an ordered pair
Even
Conditional

27. What is the formula for an identity function?
Equation of a line
F(x) = x
20+.05x=5+.10x x=minutes
A line passing through two distinct points

28. What is the range of an identity function?
(-infinity - +infinity)
F(x)=+c and f(x)-c
F(x2)-f(x1) / x2-x1
Math 4 x - graph

29. What is the vertex?
Function notation
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The minimum or maximum points

30. What are the calculator instructions for a standard quadratic equation?
The opposite coordinates
Cannot be drawn in quizlet
[0 -+infinity)
Y=x^2 - graph

31. Which direction does f(x+c) move
Cannot be drawn in quizlet
M
Horizontal left
F(x^1)=f(x^2)

32. What is the range of a square root function?
[0 -+infinity)
F(x) = x
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

33. What is the domain of an identity function?
Any set of ordered pairs
F(x)=x^3
[0 -+infinity)
(-infinity - +infinity)

34. What are the steps for solving a word problem?
Identity
X=a
Zero slope
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

35. Which direction does f(x)=+c move in standard absolute value formula?
Up
Horizontal
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. What shape is the standard quadratic function?
Horizontal
Parabola
M
The second set of components of an ordered pair

37. What is a domain?
Piecewise
The first set of components of an ordered pair
2nd key - x^2 - graph
The slope of a line containing two points

38. What is the horizontal line formula?
Same
A line passing through two distinct points
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x

39. What is the formula in both horizontal stretching and horizontal shrinking?
M
Inconsistant
The first set of components of an ordered pair
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

40. Is a standard quadratic function even - odd or neither?
Even
Equation of a line
C>1 - horizontal shrinking
The second set of components of an ordered pair

41. What are the calculator instructions for the cube root function?
Math 4 x - graph
The single number y=
F of g and g of f
Yes because two x's or domains can point to one y

42. What is the formula for slope?
Square Root
Undefined slope
Down
Change in y / change in x = rise / run = y2-y1 / x2-x1

43. x= a real number is what type of equation?
0<c<1 - horizontal stretching
Conditional
C>1 - horizontal shrinking
20+.05x=5+.10x x=minutes

44. Of the seven of algebra's common graph's how many are even?
F(x)=3 square root x
Identity
Absolute Value - Constant and Standard Quadratic
X = the original sale price and the formula is x - .40x =$276

45. What are the calculator instructions for the standard cubic function?
Y=IxI
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
When does a graph not define y as a function of x?
X math 3 graph

46. Is an identity function even - odd or neither?
1 -2 -3
Odd
Y=10
Square Root

47. What type of line is a constant function?
The single number y=
The secant line
Horizontal
Y=x - identity function

48. How are functions normally written?
45 degree angle
4 -6 -9
The second set of components of an ordered pair
As equations

49. 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.
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
F(x2)-f(x1) / x2-x1

50. What type of slope do you have when m=? and the line is vertical?
45 degree angle
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Undefined slope