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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?
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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)=3 square root x

2. What is the formula for an absolute value function?
Postiive slope
X math 3 graph
Undefined slope
F(x)=IxI

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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 = the original sale price and the formula is x - .40x =$276
The secant line
Even

4. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative inverse
Undefined
Yes - all the domains points to one range

5. Is an absolute value function even - odd or neither?
Even
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
Y=x - identity function
Y=10

6. What is the vertical line test?
1 -2 -3
Y
F(x+c) and f(x-c)
When does a graph not define y as a function of x?

7. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Down
Postiive slope
Cannot be drawn in quizlet
Yes - all the domains points to one range

8. What is the formula in both horizontal stretching and horizontal shrinking?
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.
X=a
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

9. What are the steps for solving a word problem?
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
Y=IxI
The opposite coordinates
A line passing through two distinct points

10. standard absolute value - horizontal shift formulas for left and right
Identity
F of g and g of f
F(x+c) and f(x-c)
Any set of ordered pairs

11. What is the domain for an absolute value function?
Even
A V
Down
(-infinity - +infinity)

12. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Inconsistant
Even
Cannot be drawn in quizlet

13. What is the formula for the cube root function?
Even
F(x)=3 square root x
1 -2 -3
Because the demintor of a quotient can never equal zero

14. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Piecewise
The first set of components of an ordered pair
The first set of components of an ordered pair

15. What is the letter used to represent slope?
F(x)=+c and f(x)-c
The first set of components of an ordered pair
M
Equation of a line

16. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Function notation
C>1 - horizontal shrinking
F(x)=+c and f(x)-c

17. How would this formula move f(x)=(x+1)^2-3
Zero slope
[0 -+infinity)
Y=b
Parabola - up one and right three

18. What are two examples of composit functions?
Inconsistant
(-infinity - +infinity)
Cannot be drawn in quizlet
F of g and g of f

19. What is another way to write f(x)=x - what type of function is this?
The first set of components of an ordered pair
Line ascending to the right gradually
Because the demintor of a quotient can never equal zero
Y=x - identity function

20. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Undefined slope
The slope of a line containing two points
X math 3 graph

21. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Zero slope
Postiive slope
Approach neg toward x through zero and above positive close to x

22. What is the range of the constant function?
The second set of components of an ordered pair
Horizontal right
The single number y=
Down

23. How many ranges can you have for each domain?
Neither
Yes because two x's or domains can point to one y
(-infinity - 0]you[0 - +infinity)
Only one

24. Of the seven of algebra's common graph's how many are even?
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points
Inconsitent

25. Draw or discuss a constant function
Y=b
Cannot be drawn in quizlet
The secant line
In a quotient

26. What type of line is an identity function?
Horizontal left
45 degree angle
Cannot be drawn in quizlet
In a quotient

27. What is a relation?
Even
Any set of ordered pairs
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

28. 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
Conditional
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

29. Is the square root function odd - even or neither?
A V
In a quotient
F(x)=x^3
Neither

30. What is the formula in both horizontal stretching and horizontal shrinking?
45 degree angle
Line ascending to the right gradually
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

31. x=all real numbers is what type of an equation?
Y=10
Identity
Cannot be drawn in quizlet
Y=x^2 - graph

32. What are the algebra of functions?
(-infinity - +infinity)
F(x+c) and f(x-c)
Even
(f+g) - (f-g) - (fg) - (f/g) all of x

33. What are the calculator instructions for absolute value?
X = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph
No because you cannot have one domain pointing at two y's or ranges
45 degree angle

34. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
4 -6 -9
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually

35. Draw or discuss a decreasing function
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
Yes - all the domains points to one range
Y=10

36. What does the average rate of change formula solve?
F(x+c) and f(x-c)
Y=10
The slope of a line containing two points
(-infinity - +infinity)

37. What does the average rate of change formula solve?
The slope of a line containing two points
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
Horizontal
[0 -+infinity)

38. What type of function would you use to calculate the most advantageous cell phone plan?
Mirror image neg quadrant to that of the positive quandrant
F(x^1)=f(x^2)
Piecewise
Undefined

39. x=all real numbers is what type of an equation?
F of g and g of f
X^2
Identity
The single number y=

40. Is a standard quadratic function even - odd or neither?
The secant line
Absolute Value - Constant and Standard Quadratic
45 degree angle
Even

41. What is the slope intercept formula? Define all 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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x2)-f(x1) / x2-x1
Y= then enter the number then press graph

42. When is the only time (-infinity - +infinity) is not the domain?
Horizontal right
Y= then enter the number then press graph
Y
In a quotient

43. What is the formula for the cube root function?
Odd
The second set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=3 square root x

44. What can we substitute for f(x)?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y
The first set of components of an ordered pair

45. What is the domain for the standard cubic function?
Y=x^2 - graph
Inconsistant
(-infinity - +infinity)
X^2

46. What is the vertical line test?
Postiive slope
(-infinity - +infinity)
The secant line
When does a graph not define y as a function of x?

47. What is the slope of a perpendicular line?
Piecewise
Same
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.
Negative inverse

48. 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?
Parabola - up one and right three
X is the hours to repair the boat. $1603-532=anwser/63 = x
Math 4 x - 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.

49. What is the range for a standard quadratic function?
Even
Undefined slope
(-infinity - 0]you[0 - +infinity)
Perpendicular line

50. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Line ascending to the right gradually