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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 can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Negative slope
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

2. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Undefined
Inconsistant
Absolute Value - Constant and Standard Quadratic

3. What is the formula for an absolute value function?
Negative inverse
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
F(x)=IxI
(-infinity - 0]you[0 - +infinity)

4. 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
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c

5. What are the calculator instructions for a standard quadratic equation?
Y=10
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)

6. Draw or discuss an increasing function
Horizontal left
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
0<c<1 - horizontal stretching

7. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
F(x)=+c and f(x)-c
Even
2nd key - x^2 - graph

8. What is another way to write f(x)=x - what type of function is this?
F(x)=3 square root x
Cannot be drawn in quizlet
Undefined
Y=x - identity function

9. How many domains can you have pointing to one range?
The single number y=
As many as you like
The opposite coordinates
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

10. What is the range for the standard cubic function?
Conditional
(-infinity - +infinity)
Cannot be drawn in quizlet
The slope of a line containing two points

11. What type of line is an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

12. What is a domain?
Y= then enter the number then press graph
The single number y=
The first set of components of an ordered pair
Line ascending to the right gradually

13. What type of line is a constant function?
Y=b
Horizontal
Negative inverse
[0 -+infinity)

14. What are two examples of composit functions?
Identity
1 -2 -3
F of g and g of f
Undefined

15. 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
F of g and g of f
F(x)=+c and f(x)-c
X=a

16. What is the domain and range of a constant function?
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
2nd key - x^2 - graph

17. What direction does f(x)-c move in standard absolute value formula?
Down
Inconsitent
A V
0<c<1 - horizontal stretching

18. f(x) = x^2+3x+5 - what type of formula is this?
Y=x - identity function
Function notation
X^2
(-infinity - +infinity)

19. What is a constant function?
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
F(x^1)=f(x^2)

20. What is the range of the constant function?
F(x)=x^3
Mirror image neg quadrant to that of the positive quandrant
The single number y=
(-infinity - +infinity)

21. What are the calculator instructions for a square root function?
When does a graph not define y as a function of x?
F(x) = 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.
2nd key - x^2 - graph

22. What is the domain and range of a constant function?
F(x)=IxI
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.
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

23. What type of line is a constant function?
Horizontal
Only one
The minimum or maximum points
4 -6 -9

24. What does the absolute value function look like?
Any set of ordered pairs
A V
F(x) = x
(f+g) - (f-g) - (fg) - (f/g) all of x

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

26. In an identity function if f(10)=x than What is y?
Y=10
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
Neither
Even

27. What is a constant function?
Same
F(x+c) and f(x-c)
F(x^1)=f(x^2)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

28. What is the formula for the standard cubic function?
Math 4 x - graph
The opposite coordinates
The second set of components of an ordered pair
F(x)=x^3

29. What is the vertical line formula?
Set the x and y to zero and get the intercepts and then plot the points
Equation of a line
Y=x^2 - graph
X=a

30. What type of line is a constant function?
(-infinity - +infinity)
Horizontal
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. What is the formula for an identity function?
45 degree angle
2nd key - x^2 - graph
Odd
F(x) = x

32. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=b
Y=x^2 - graph

33. What are the calculator instructions for the standard cubic function?
X math 3 graph
F(x)=3 square root x
Identity
(-infinity - +infinity)

34. What is the domain for the standard cubic function?
Square Root
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 - +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.

35. What does linear equation mean?
Set the x and y to zero and get the intercepts and then plot the points
Conditional
Equation of a line
When does a graph not define y as a function of x?

36. How many ranges can you have for each domain?
(-infinity - +infinity)
Only one
Absolute Value - Constant and Standard Quadratic
Inconsitent

37. What can we substitute for f(x)?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=3 square root 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
Y

38. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The second set of components of an ordered pair
Horizontal right
Conditional
The secant line

39. When is the only time (-infinity - +infinity) is not the domain?
Odd
F of g and g of f
In a quotient
X=a

40. Is an absolute value function even - odd or neither?
Y= then enter the number then press graph
A V
Even
(-infinity - +infinity)

41. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Perpendicular line
Cannot be drawn in quizlet
Y=IxI

42. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=x^3
(-infinity - 0]you[0 - +infinity)

43. Is an identity function even - odd or neither?
F(x)=+c and f(x)-c
Negative inverse
Odd
2nd key - x^2 - graph

44. What is slope?
A line passing through two distinct points
Set the x and y to zero and get the intercepts and then plot the points
F(x+h)-f(x)/h h cannot equal zero
Identity

45. Which direction does f(x)=+c move in standard absolute value formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Up
1 -2 -3
Approach neg toward x through zero and above positive close to x

46. Is a constant function even - odd or neither?
F(x+c) and f(x-c)
Set the x and y to zero and get the intercepts and then plot the points
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

47. What is the range of the cube root function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
The single number y=
F(x)=IxI

48. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
Inconsitent
Horizontal
The first set of components of an ordered pair

49. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
A line passing through two distinct points
Horizontal
Same
X = the original sale price and the formula is x - .40x =$276

50. x=all real numbers is what type of an equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Identity
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic