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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. When is the only time (-infinity - +infinity) is not the domain?
Zero slope
Inconsistant
(-infinity - +infinity)
In a quotient

2. Of the seven of algebra's common graph's how many are even?
Same
Zero slope
As equations
Absolute Value - Constant and Standard Quadratic

3. Of the seven of algebra's common graph's how many are neither?
4 -6 -9
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Square Root

4. What does the standard cubic function look like on a graph?
F(x) = x
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually

5. What type of slope do horizontal lines have?
Same
(-infinity - +infinity)
Up
Yes - all the domains points to one range

6. What is the formula for an absolute value function?
(-infinity - +infinity)
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=IxI

7. x=no real numbers is what type of an equation?
Piecewise
Inconsistant
Set the x and y to zero and get the intercepts and then plot the points
Undefined slope

8. What can we substitute for f(x)?
Neither
Y
The minimum or maximum points
F(x2)-f(x1) / x2-x1

9. What type of function would you use to calculate the most advantageous cell phone plan?
Yes - all the domains points to one range
(f+g) - (f-g) - (fg) - (f/g) all of x
Piecewise
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

10. What is the formula for an absolute value function?
F(x)=3 square root x
F(x)=IxI
4 -6 -9
(-infinity - +infinity)

11. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Even
1 -2 -3
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)
A line passing through two distinct points
F(x2)-f(x1) / x2-x1

13. x=all real numbers is what type of an equation?
C>1 - horizontal shrinking
Inconsitent
Because the demintor of a quotient can never equal zero
Identity

14. standard absolute value - vertical shift formulas for positve and negative
F(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=+c and f(x)-c
Parraelle line

15. What is the domain for the standard cubic function?
F(x)=suare root of x
M
(-infinity - +infinity)
Even

16. What is the range for the standard cubic function?
M
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

17. What is the formula for to calculate the difference of a quotient function?
F(x) = x
Yes because two x's or domains can point to one y
F(x+h)-f(x)/h h cannot equal zero
Function notation

18. Draw or discuss a constant function
Square Root
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic

19. What type of line is a constant function?
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=IxI
Horizontal

20. What is a relation?
No because you cannot have one domain pointing at two y's or ranges
F of g and g of f
Parabola
Any set of ordered pairs

21. Is an absolute value function even - odd or neither?
The minimum or maximum points
The secant line
Even
(-infinity - +infinity)

22. What is a function?
M
2nd catalog (zero key -) abs(x) - graph
Only one
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

23. Is a constant function even - odd or neither?
The slope of a line containing two points
Even
Inconsistant
1 -2 -3

24. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Change in y / change in x = rise / run = y2-y1 / x2-x1
4 -6 -9
Parabola
F(x)=x^3

25. What is the domain for an absolute value function?
Even
(-infinity - +infinity)
Identity
Horizontal

26. What does the average rate of change formula solve?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
Cannot be drawn in quizlet
The slope of a line containing two points

27. What are the steps for solving a word problem?
Yes - all the domains points to one range
Math 4 x - graph
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=10

28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The single number y=
0<c<1 - horizontal stretching
F(x+h)-f(x)/h h cannot equal zero
The secant line

29. What type of slope do vertical lines have?
Conditional
Undefined
Approach neg toward x through zero and above positive close to x
Horizontal left

30. How do you calculate a constant function in your calculator?
Yes because two x's or domains can point to one y
Y= then enter the number then press graph
0<c<1 - horizontal stretching
Only one

31. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Inconsitent
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.
A V

32. What does the graph of the cube root function look like on the graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
Approach neg toward x through zero and above positive close to x
Y=IxI

33. 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.
2nd catalog (zero key -) abs(x) - graph
Identity
(-infinity - 0]you[0 - +infinity)

34. What type of line is a constant function?
Postiive slope
(-infinity - +infinity)
X math 3 graph
Horizontal

35. How are functions normally written?
1 -2 -3
Cannot be drawn in quizlet
As equations
A line passing through two distinct points

36. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

37. What is the formula in both horizontal stretching and horizontal shrinking?
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

38. What does the square root function look like on a graph?
Identity
As equations
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant

39. What is a relation?
Any set of ordered pairs
Odd
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

40. Of the seven of algebra's common graph's how many are odd?
X=a
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic

41. What type of line is an identity function?
(-infinity - +infinity)
45 degree angle
Undefined
C>1 - horizontal shrinking

42. What is the domain of a square root function?
F(x)=suare root of x
[0 -+infinity)
2nd key - x^2 - graph
C>1 - horizontal shrinking

43. What is the range of the constant function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same
Line ascending to the right gradually
The single number y=

44. When is the only time (-infinity - +infinity) is not the domain?
Inconsistant
(-infinity - +infinity)
In a quotient
X = the original sale price and the formula is x - .40x =$276

45. What is the range of the constant function?
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.
Only one
The single number y=
A V

46. Which direction does f(x)=+c move in standard absolute value formula?
Up
Down
(-infinity - +infinity)
The slope of a line containing two points

47. What is the domain of the cube root function?
Math 4 x - graph
Parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

48. Draw or discuss a decreasing function
Horizontal
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

49. 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
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=3 square root x

50. What is a constant function?
Equation of a line
Identity
F(x)=x^3
F(x^1)=f(x^2)