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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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Conditional
A line passing through two distinct points
Horizontal left

2. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Y=x^2 - graph
F(x)=3 square root x
Only one

3. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
F(x+h)-f(x)/h h cannot equal zero
Undefined slope
Yes because two x's or domains can point to one y

4. What is the formula for the cube root function?
Even
F(x^1)=f(x^2)
F(x)=3 square root x
Piecewise

5. x= a real number is what type of equation?
Conditional
Y=x^2 - graph
Mirror image neg quadrant to that of the positive quandrant
Odd

6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
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
Up

7. What is the letter used to represent slope?
M
X is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. What is the domain of a square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
[0 -+infinity)
Negative slope

9. What is the range of an identity function?
F(x+c) and f(x-c)
(-infinity - +infinity)
Even
Same

10. What is the range of the cube root function?
Y=x - identity function
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

11. In an identity function if f(10)=x than What is y?
45 degree angle
Horizontal right
(-infinity - +infinity)
Y=10

12. What is the domain of the cube root function?
Identity
(-infinity - +infinity)
Odd
Inconsitent

13. What is the slope of a perpendicular line?
Line ascending to the right gradually
Negative inverse
Math 4 x - graph
Only one

14. Of the seven of algebra's common graph's how many are neither?
Up
Down
Square Root
Zero slope

15. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
As equations
Even
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
(-infinity - +infinity)

16. What are the calculator instructions for the cube root function?
Zero slope
Math 4 x - 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.
Even

17. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
Identity
Y= then enter the number then press graph
X = the original sale price and the formula is x - .40x =$276

18. Which direction does f(x-c) move
Horizontal right
The minimum or maximum points
Cannot be drawn in quizlet
Y= then enter the number then press graph

19. Draw or discuss an increasing function
2nd catalog (zero key -) abs(x) - graph
X^2
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet

20. What is the horizontal line formula?
The second set of components of an ordered pair
45 degree angle
(-infinity - +infinity)
Y=b

21. What type of slope do horizontal lines have?
As equations
A V
Up
Same

22. What is the domain of an identity function?
Even
Identity
(-infinity - +infinity)
Yes because two x's or domains can point to one y

23. Two vertical lines side by side are a symbol for what
Neither
Parabola - up one and right three
Function notation
Parraelle line

24. What is the range for a standard quadratic function?
F(x)=+c and f(x)-c
(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)
(-infinity - +infinity)

25. Two vertical lines side by side are a symbol for what
X2-x1 because the demonaitor of a quotient can never equal zero
X2-x1 because the demonaitor of a quotient can never equal zero
Parraelle line
Horizontal

26. What is a domain?
Conditional
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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
Cannot be drawn in quizlet
4 -6 -9
F(x+h)-f(x)/h h cannot equal zero

28. What is the vertex?
Y=b
The minimum or maximum points
Negative slope
Horizontal

29. What points do you use to plot the inverse on a graph?
Parabola - up one and right three
(-infinity - +infinity)
The opposite coordinates
Piecewise

30. Is a constant function even - odd or neither?
Even
Y
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X = the original sale price and the formula is x - .40x =$276

31. standard absolute value - vertical shift formulas for positve and negative
Inconsistant
Only one
F(x)=+c and f(x)-c
Approach neg toward x through zero and above positive close to x

32. What is the range of the constant function?
Square Root
Yes - all the domains points to one range
Math 4 x - graph
The single number y=

33. How are functions normally written?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The opposite coordinates
As equations
F(x)=x^3

34. In an identity function if f(10)=x than What is y?
Y=10
Undefined
F(x)=suare root of x
(f+g) - (f-g) - (fg) - (f/g) all of x

35. What is the domain of an identity function?
Any set of ordered pairs
Line ascending to the right gradually
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

36. What is slope?
Y=x - identity function
A line passing through two distinct points
Horizontal right
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

37. What is an identity function?
45 degree angle
Horizontal
Even
F(x+h)-f(x)/h h cannot equal zero

38. What can never equal zero in the slope formula and why?
As equations
[0 -+infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal right

39. x=all real numbers is what type of an equation?
Square Root
Identity
X^2
X=a

40. What are the calculator instructions for the cube root function?
Parabola
Math 4 x - graph
Equation of a line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

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

42. How many ranges can you have for each domain?
When does a graph not define y as a function of x?
Only one
Square Root
X = the original sale price and the formula is x - .40x =$276

43. What is the vertical line formula?
Function notation
X=a
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Down
Horizontal

45. What type of line is a constant function?
Horizontal
Any set of ordered pairs
Undefined
Parabola

46. What is the formula for the square root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=suare root of x
Because the demintor of a quotient can never equal zero
20+.05x=5+.10x x=minutes

47. What is the formula for an identity 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.
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
F(x) = x

48. What does the absolute value function look like?
The opposite coordinates
A V
Three odd - cube root - identity - standard cubic
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.

49. Of the seven of algebra's common graph's how many are odd?
Equation of a line
Three odd - cube root - identity - standard cubic
Y=10
(f+g) - (f-g) - (fg) - (f/g) all of x

50. Is a constant function even - odd or neither?
Y
Even
Horizontal
Because the demintor of a quotient can never equal zero