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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 are the four steps for solving a linear equation?
(-infinity - +infinity)
Parabola
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(x2)-f(x1) / x2-x1

2. What is the domain for the standard cubic function?
F(x) = x
Odd
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

3. x= a real number is what type of equation?
Conditional
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
F(x)=x^3

4. standard absolute value - vertical shift formulas for positve and negative
The first set of components of an ordered pair
4 -6 -9
F(x)=+c and f(x)-c
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

5. What is another way of writing the absolute value function?
Y=IxI
Piecewise
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

6. What is an identity function?
[0 -+infinity)
20+.05x=5+.10x x=minutes
Y=x^2 - graph
45 degree angle

7. Is a constant function even - odd or neither?
F(x)=+c and f(x)-c
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9

8. Is a constant function even - odd or neither?
Horizontal right
Even
Mirror image neg quadrant to that of the positive quandrant
F(x^1)=f(x^2)

9. What does the square root function look like on a graph?
Line ascending to the right gradually
0<c<1 - horizontal stretching
Y=x - identity function
Y=10

10. What is slope?
A line passing through two distinct points
M
The opposite coordinates
As equations

11. Two vertical lines side by side are a symbol for what
The minimum or maximum points
F(x^1)=f(x^2)
Parraelle line
F(x^1)=f(x^2)

12. What is the formula for to calculate the difference of a quotient function?
Yes because two x's or domains can point to one y
Down
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching

13. Draw or discuss a constant function
F(x2)-f(x1) / x2-x1
Horizontal left
Horizontal
Cannot be drawn in quizlet

14. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X2-x1 because the demonaitor of a quotient can never equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. x=all real numbers is what type of an equation?
Identity
Y=x - identity function
Math 4 x - graph
Y

16. What is the range of an identity function?
(-infinity - +infinity)
Any set of ordered pairs
X = the original sale price and the formula is x - .40x =$276
F(x)=suare root of x

17. Which direction does f(x+c) move
Horizontal left
Postiive slope
Conditional
Even

18. What is the formula for slope?
The first set of components of an ordered pair
Up
X = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1

19. What is the vertical line formula?
Cannot be drawn in quizlet
Parabola
When does a graph not define y as a function of x?
X=a

20. What are the calculator instructions for the cube root function?
Absolute Value - Constant and Standard Quadratic
Math 4 x - graph
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Inconsistant
Conditional
The opposite coordinates

22. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
45 degree angle
Odd
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

23. What are the calculator instructions for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The slope of a line containing two points
X math 3 graph
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.

24. What is the range of the cube root function?
Only one
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Math 4 x - graph
(-infinity - +infinity)

25. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Only one
F(x)=+c and f(x)-c
[0 -+infinity)

26. What is the range for an absolute value function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)
Yes - all the domains points to one range
(-infinity - 0]you[0 - +infinity)

27. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
The opposite coordinates
Yes because two x's or domains can point to one y
Zero slope

28. Is an identity function even - odd or neither?
Horizontal
Square Root
Set the x and y to zero and get the intercepts and then plot the points
Odd

29. What are the algebra of functions?
Set the x and y to zero and get the intercepts and then plot the points
A V
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9

30. What is the standard quadratic function?
(-infinity - +infinity)
Zero slope
(-infinity - +infinity)
X^2

31. What is the vertex?
Approach neg toward x through zero and above positive close to x
(-infinity - 0]you[0 - +infinity)
Conditional
The minimum or maximum points

32. What is the horizontal line formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd catalog (zero key -) abs(x) - graph
Y=b
Cannot be drawn in quizlet

33. Draw or discuss an increasing function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
Line ascending to the right gradually
4 -6 -9

34. What is the domain of a square root function?
0<c<1 - horizontal stretching
Y= then enter the number then press graph
[0 -+infinity)
Inconsitent

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Only one
No because you cannot have one domain pointing at two y's or ranges
Even
1 -2 -3

36. What is the range for the standard cubic function?
As equations
(-infinity - +infinity)
Piecewise
0<c<1 - horizontal stretching

37. What is the range for an absolute value function?
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

38. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Odd
The second set of components of an ordered pair
1 -2 -3

39. What is the domain for an absolute value function?
(-infinity - +infinity)
Conditional
Horizontal
X math 3 graph

40. What type of slope do horizontal lines have?
(-infinity - +infinity)
Same
(-infinity - +infinity)
In a quotient

41. Draw or discuss an increasing function
In a quotient
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
Horizontal

42. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
X math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Y= then enter the number then press graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
M
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

44. What type of line is a constant function?
Horizontal
The slope of a line containing two points
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

45. What is a relation?
Equation of a line
As equations
45 degree angle
Any set of ordered pairs

46. What are the calculator instructions for the cube root function?
Math 4 x - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=IxI
Horizontal

47. What is the domain and range of a constant function?
Y=10
(-infinity - +infinity)
Inconsistant
X is the hours to repair the boat. $1603-532=anwser/63 = x

48. How many ranges can you have for each domain?
Only one
In a quotient
Negative slope
Equation of a line

49. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Mirror image neg quadrant to that of the positive quandrant
Yes - all the domains points to one range
Up
Piecewise

50. What type of slope do you have when a line rises from left to right and m>0?
F of g and g of f
Postiive slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Zero slope