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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 does the standard cubic function look like on a graph?
The single number y=
Piecewise
Mirror image neg quadrant to that of the positive quandrant
Parraelle line

2. Draw or discuss a constant function
(-infinity - 0]you[0 - +infinity)
F(x) = x
Y=10
Cannot be drawn in quizlet

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

4. 4(x-7)=4x+28 is what type of an equation?
X^2
Undefined slope
Line ascending to the right gradually
Inconsitent

5. What are the calculator instructions for a square root function?
Yes - all the domains points to one range
Y=b
The single number y=
2nd key - x^2 - graph

6. Is a constant function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
No because you cannot have one domain pointing at two y's or ranges
Even
F(x2)-f(x1) / x2-x1

7. What are the four steps for finding the inverse of a function?
X math 3 graph
Horizontal right
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

8. What is the domain of a square root function?
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
In a quotient
C>1 - horizontal shrinking

9. What is another way of writing the absolute value function?
Y=IxI
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Math 4 x - graph

10. What does the average rate of change formula solve?
Neither
The slope of a line containing two points
F(x) = x
Down

11. 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?
[0 -+infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsitent
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

12. What are the calculator instructions for the standard cubic function?
Odd
Same
Cannot be drawn in quizlet
X math 3 graph

13. What is the range of the cube root function?
[0 -+infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
The slope of a line containing two points

14. What is the range for an absolute value function?
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)
Conditional

15. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Conditional
X math 3 graph
1 -2 -3

16. Draw or discuss an increasing function
Cannot be drawn in quizlet
Odd
Inconsistant
Yes because two x's or domains can point to one y

17. What does the graph of the cube root function look like on the graph?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Approach neg toward x through zero and above positive close to x
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range

18. What points do you use to plot the inverse on a graph?
The opposite coordinates
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
[0 -+infinity)
(-infinity - +infinity)

19. 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.
Line ascending to the right gradually
Perpendicular line
2nd catalog (zero key -) abs(x) - graph

20. What is an identity function?
Even
The minimum or maximum points
Negative slope
45 degree angle

21. What type of slope do vertical lines have?
4 -6 -9
Undefined
Parabola - up one and right three
Up

22. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
Inconsitent

23. x= a real number is what type of equation?
Conditional
Y=IxI
Horizontal right
Identity

24. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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
X=a
The secant line

25. How many domains can you have pointing to one range?
As many as you like
Undefined slope
Y=x^2 - graph
Horizontal left

26. standard absolute value - horizontal shift formulas for left and right
Y
F(x+c) and f(x-c)
Down
X2-x1 because the demonaitor of a quotient can never equal zero

27. x= a real number is what type of equation?
Piecewise
Y
Conditional
45 degree angle

28. What is the range for a standard quadratic function?
X2-x1 because the demonaitor of a quotient can never equal zero
A line passing through two distinct points
(-infinity - 0]you[0 - +infinity)
Negative inverse

29. What is the domain for the standard cubic function?
Cannot be drawn in quizlet
Y=IxI
(-infinity - +infinity)
Even

30. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Same
F(x)=+c and f(x)-c
The secant line

31. y=f(cx) What does this formula represent?
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Undefined slope
F(x+h)-f(x)/h h cannot equal zero

32. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Undefined
45 degree angle
Inconsistant

33. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
[0 -+infinity)
X=a
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

34. Is a standard quadratic function even - odd or neither?
Neither
Even
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. How many ranges can you have for each domain?
Only one
Down
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

36. When is the only time (-infinity - +infinity) is not the domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)
In a quotient
Piecewise

37. 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
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
Inconsitent

38. Draw or discuss a decreasing function
Postiive slope
No because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet
Undefined

39. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Same
Conditional
2nd catalog (zero key -) abs(x) - graph

40. What is the formula for an absolute value function?
(-infinity - +infinity)
Negative inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=IxI

41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
When does a graph not define y as a function of x?
The secant line
(-infinity - +infinity)
Yes - all the domains points to one range

42. What is the vertex?
2nd catalog (zero key -) abs(x) - graph
Undefined
The minimum or maximum points
2nd catalog (zero key -) abs(x) - graph

43. What is the point slope formula and when do you use it?
F(x+c) and f(x-c)
Horizontal right
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. y=f(cx) - What does this formula represent?
Even
Any set of ordered pairs
C>1 - horizontal shrinking
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.

45. What is the range for the standard cubic function?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?
F of g and g of f

46. Is an identity function even - odd or neither?
Odd
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
Inconsistant
The opposite coordinates

47. What is the vertical line formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X=a
A line passing through two distinct points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

48. What does linear equation mean?
45 degree angle
Equation of a line
F(x2)-f(x1) / x2-x1
2nd key - x^2 - graph

49. What does the square root function look like on a graph?
Only one
Line ascending to the right gradually
F(x)=x^3
0<c<1 - horizontal stretching

50. How would this formula move f(x)=(x+1)^2-3
Cannot be drawn in quizlet
Parabola - up one and right three
Absolute Value - Constant and Standard Quadratic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040