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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 type of line is a constant function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
(-infinity - +infinity)
Horizontal

2. What can never equal zero in the slope formula and why?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As many as you like
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
X2-x1 because the demonaitor of a quotient can never equal zero

3. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
[0 -+infinity)
The secant line
(-infinity - +infinity)

4. What points do you use to plot the inverse on a graph?
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
As many as you like
The opposite coordinates
X math 3 graph

5. What is the formula in both horizontal stretching and horizontal shrinking?
Horizontal right
F(x2)-f(x1) / x2-x1
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

6. What is the letter used to represent slope?
Horizontal left
(-infinity - 0]you[0 - +infinity)
M
Horizontal

7. A flat line underlining one vertical line is a symbol for...
Yes - all the domains points to one range
Perpendicular line
Parraelle line
Square Root

8. What does the graph of the cube root function look like on the graph?
Up
Approach neg toward x through zero and above positive close to x
Same
Horizontal left

9. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic
F(x) = x
X = the original sale price and the formula is x - .40x =$276

10. What can we substitute for f(x)?
The first set of components of an ordered pair
Cannot be drawn in quizlet
Y
F(x)=suare root of x

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
4 -6 -9
A line passing through two distinct points
The secant line
Piecewise

12. What are the four steps for finding the inverse of a function?
Y=x - identity function
The minimum or maximum points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.

13. $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?
Conditional
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
F(x) = x
As equations
Down

15. Draw or discuss a constant function
Cannot be drawn in quizlet
Function notation
Y=x^2 - graph
Up

16. x=no real numbers is what type of an equation?
Inconsistant
Zero slope
Parabola - up one and right three
The minimum or maximum points

17. What does linear equation mean?
In a quotient
Down
Cannot be drawn in quizlet
Equation of a line

18. y=f(cx) What does this formula represent?
F(x^1)=f(x^2)
Piecewise
F(x^1)=f(x^2)
0<c<1 - horizontal stretching

19. What is the range of the constant function?
Conditional
M
The single number y=
Because the demintor of a quotient can never equal zero

20. What is the formula for the square root function?
F(x^1)=f(x^2)
The single number y=
Odd
F(x)=suare root of x

21. What is the range of an identity function?
Even
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Identity

22. What is the range of the cube root function?
The slope of a line containing two points
Inconsitent
(-infinity - +infinity)
Identity

23. Which direction does f(x+c) move
(-infinity - +infinity)
Up
(-infinity - +infinity)
Horizontal left

24. Of the seven of algebra's common graph's how many are even?
X math 3 graph
Postiive slope
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

25. What type of line is an identity function?
Y=IxI
45 degree angle
Any set of ordered pairs
Negative slope

26. 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?
1 -2 -3
X is the hours to repair the boat. $1603-532=anwser/63 = x
The single number y=
Cannot be drawn in quizlet

27. What does the graph of the cube root function look like on the graph?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
Y

28. What is the vertical line formula?
X=a
Equation of a line
Y= then enter the number then press graph
Horizontal right

29. What is a range?
The second set of components of an ordered pair
Neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant

30. What is the formula for an identity function?
F(x) = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The secant line
Horizontal

31. How many domains can you have pointing to one range?
The minimum or maximum points
As many as you like
F(x)=suare root of x
The first set of components of an ordered pair

32. Is a constant function even - odd or neither?
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Function notation
F(x+h)-f(x)/h h cannot equal zero

33. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The minimum or maximum points
45 degree angle
Y=x^2 - graph
X = the original sale price and the formula is x - .40x =$276

34. What is the formula for the square root function?
F(x)=suare root of x
Piecewise
Undefined
(-infinity - 0]you[0 - +infinity)

35. What is the domain for the standard cubic function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Because the demintor of a quotient can never equal zero
Horizontal right

36. What can never equal zero in the slope formula and why?
20+.05x=5+.10x x=minutes
X2-x1 because the demonaitor of a quotient can never equal zero
F(x+c) and f(x-c)
Function notation

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Change in y / change in x = rise / run = y2-y1 / x2-x1
4 -6 -9
Up
A V

38. What type of slope do vertical lines have?
F(x+h)-f(x)/h h cannot equal zero
In a quotient
Undefined
F of g and g of f

39. What direction does f(x)-c move in standard absolute value formula?
The slope of a line containing two points
Down
Cannot be drawn in quizlet
A line passing through two distinct points

40. What points do you use to plot the inverse on a graph?
20+.05x=5+.10x x=minutes
Even
The opposite coordinates
F(x)=x^3

41. What is the formula for an identity function?
Yes because two x's or domains can point to one y
F(x) = x
Conditional
Undefined

42. What is slope?
A line passing through two distinct points
Square Root
Even
Negative slope

43. What is the domain of an identity function?
(-infinity - +infinity)
Inconsistant
Parabola - up one and right three
4 -6 -9

44. What type of line is a constant function?
C>1 - horizontal shrinking
Identity
Y=IxI
Horizontal

45. How would this formula move f(x)=(x+1)^2-3
Undefined slope
Equation of a line
Parabola - up one and right three
[0 -+infinity)

46. What is the formula for the cube root function?
(-infinity - +infinity)
F(x)=3 square root x
Same
The opposite coordinates

47. What type of function would you use to calculate the most advantageous cell phone plan?
X = the original sale price and the formula is x - .40x =$276
Even
0<c<1 - horizontal stretching
Piecewise

48. What does the absolute value function look like?
Odd
A V
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

49. Is a constant function even - odd or neither?
C>1 - horizontal shrinking
Square Root
Even
X^2

50. 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
X is the hours to repair the boat. $1603-532=anwser/63 = x
Set the x and y to zero and get the intercepts and then plot the points
Y=10