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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. 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?
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.
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
Perpendicular line

2. What is the domain of the cube root function?
F of g and g of f
[0 -+infinity)
45 degree angle
(-infinity - +infinity)

3. Is a constant function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
C>1 - horizontal shrinking
Piecewise
Even

4. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
Y=x - identity function
X = the original sale price and the formula is x - .40x =$276

5. What does the average rate of change formula solve?
Undefined slope
The slope of a line containing two points
Identity
F(x+h)-f(x)/h h cannot equal zero

6. What is the average rate of change formula?
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes
F(x2)-f(x1) / x2-x1
Y=10

7. f(x) = x^2+3x+5 - what type of formula is this?
X is the hours to repair the boat. $1603-532=anwser/63 = x
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
Square Root
Function notation

8. How do you calculate a constant function in your calculator?
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
Y= then enter the number then press graph
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.
Piecewise

9. 4x+5x=8x is what type of an equation?
Undefined slope
No because you cannot have one domain pointing at two y's or ranges
Conditional
In a quotient

10. What does linear equation mean?
Inconsitent
Equation of a line
Cannot be drawn in quizlet
Neither

11. What are the calculator instructions for the cube root function?
The second set of components of an ordered pair
Math 4 x - graph
Even
Function notation

12. How do you graph Ax+By+C=0?
In a quotient
(-infinity - +infinity)
Math 4 x - graph
Set the x and y to zero and get the intercepts and then plot the points

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+h)-f(x)/h h cannot equal zero
Conditional
Even

14. What is another way to write f(x)=x - what type of function is this?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x - identity function
The first set of components of an ordered pair

15. What type of slope do you have when m=? and the line is vertical?
Horizontal
Parraelle line
Undefined slope
2nd catalog (zero key -) abs(x) - graph

16. 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
No because you cannot have one domain pointing at two y's or ranges
F(x)=x^3
The secant line

17. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Horizontal
Parabola - up one and right three
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.

18. x=no real numbers is what type of an equation?
Same
[0 -+infinity)
Inconsistant
Y=x - identity function

19. What equation does every line have? Discuss the variables.
Parabola - up one and right three
(-infinity - +infinity)
Cannot be drawn in quizlet
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.

20. What is the range for an absolute value function?
F(x)=suare root of x
Horizontal
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)

21. Of the seven of algebra's common graph's how many are even?
Conditional
Absolute Value - Constant and Standard Quadratic
Equation of a line
X math 3 graph

22. What is the formula for the standard cubic function?
F(x)=x^3
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= then enter the number then press graph
The opposite coordinates

23. What is another way of writing the absolute value function?
F(x)=IxI
Y=IxI
The opposite coordinates
Same

24. What are the calculator instructions for a standard quadratic equation?
Conditional
F(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph
Negative slope

25. What is a constant function?
F(x^1)=f(x^2)
Horizontal
F(x2)-f(x1) / x2-x1
Identity

26. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
The single number y=
Because the demintor of a quotient can never equal zero

27. 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?
No because you cannot have one domain pointing at two y's or ranges
X is the hours to repair the boat. $1603-532=anwser/63 = x
F of g and g of f
Three odd - cube root - identity - standard cubic

28. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

29. What can we substitute for f(x)?
No because you cannot have one domain pointing at two y's or ranges
Identity
F(x2)-f(x1) / x2-x1
Y

30. What does the absolute value function look like?
A V
F(x)=x^3
Even
(-infinity - +infinity)

31. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Function notation
Horizontal
Parraelle line

32. Is the standard cubic function odd - even or neither?
Equation of a line
2nd key - x^2 - graph
4 -6 -9
Odd

33. What is the vertical line formula?
X=a
Conditional
20+.05x=5+.10x x=minutes
Parraelle line

34. What points do you use to plot the inverse on a graph?
Conditional
As many as you like
The opposite coordinates
[0 -+infinity)

35. What is the formula for to calculate the difference of a quotient function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Y=b

36. What is the formula for the cube root function?
Horizontal
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
Yes because two x's or domains can point to one y
F(x)=3 square root x

37. What equation does every line have? Discuss the variables.
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.
Negative slope
The slope of a line containing two points
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.

38. What is the range for a standard quadratic function?
4 -6 -9
Undefined
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

39. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F of g and g of f
4 -6 -9
As many as you like

40. What does the square root function look like on a graph?
M
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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

41. Which direction does f(x)=+c move in standard absolute value formula?
Conditional
Up
Equation of a line
[0 -+infinity)

42. Is a standard quadratic function even - odd or neither?
Even
F(x)=3 square root x
Piecewise
20+.05x=5+.10x x=minutes

43. What is the formula in both horizontal stretching and horizontal shrinking?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
No because you cannot have one domain pointing at two y's or ranges
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

44. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Inconsitent

45. Of the seven of algebra's common graph's how many are odd?
Equation of a line
Three odd - cube root - identity - standard cubic
Line ascending to the right gradually
Square Root

46. What is a function?
F(x+h)-f(x)/h h cannot equal zero
Conditional
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

47. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Negative inverse
F(x^1)=f(x^2)
Line ascending to the right gradually

48. Draw or discuss an increasing function
Cannot be drawn in quizlet
Negative inverse
(-infinity - +infinity)
(-infinity - +infinity)

49. What is the range of the constant function?
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.
The single number y=
F(x)=x^3
F(x)=+c and f(x)-c

50. How many domains can you have pointing to one range?
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
(-infinity - +infinity)
As many as you like