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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 shape is the standard quadratic function?
Parabola
Zero slope
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

2. What can we substitute for f(x)?
(f+g) - (f-g) - (fg) - (f/g) all of x
The second set of components of an ordered pair
Even
Y

3. What are the calculator instructions for absolute value?
F(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of 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

4. Draw or discuss an increasing function
Even
The opposite coordinates
Even
Cannot be drawn in quizlet

5. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

6. 4x+5x=8x is what type of an equation?
Conditional
Same
Only one
Negative slope

7. x=all real numbers is what type of an equation?
Identity
No because you cannot have one domain pointing at two y's or ranges
X math 3 graph
Negative slope

8. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The secant line
(-infinity - 0]you[0 - +infinity)
Math 4 x - graph
1 -2 -3

9. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
Negative slope
Cannot be drawn in quizlet
A V

10. What is the slope of a perpendicular line?
Negative inverse
Because the demintor of a quotient can never equal zero
Y=10
(f+g) - (f-g) - (fg) - (f/g) all of x

11. f(x) = x^2+3x+5 - what type of formula is this?
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points
Function notation
In a quotient

12. Draw or discuss a decreasing function
Identity
F(x)=x^3
Cannot be drawn in quizlet
Odd

13. What is slope?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined
No because you cannot have one domain pointing at two y's or ranges
A line passing through two distinct points

14. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Identity
X = the original sale price and the formula is x - .40x =$276
Inconsistant
F of g and g of f

15. What is a range?
Inconsistant
1 -2 -3
The second set of components of an ordered pair
F(x2)-f(x1) / x2-x1

16. y=f(cx) - What does this formula represent?
Parabola - up one and right three
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking
Because the demintor of a quotient can never equal zero

17. What does the square root function look like on a graph?
Parabola
(f+g) - (f-g) - (fg) - (f/g) all of x
Y= then enter the number then press graph
Line ascending to the right gradually

18. Which direction does f(x)=+c move in standard absolute value formula?
20+.05x=5+.10x x=minutes
The single number y=
M
Up

19. What type of line is a constant function?
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal
F(x+h)-f(x)/h h cannot equal zero

20. What is the formula for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=x^3

21. What is the domain for an absolute value function?
(-infinity - +infinity)
Piecewise
Identity
No because you cannot have one domain pointing at two y's or ranges

22. What does the graph of the cube root function look like on the graph?
(-infinity - 0]you[0 - +infinity)
Approach neg toward x through zero and above positive close to 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
[0 -+infinity)

23. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Cannot be drawn in quizlet
Identity

24. What type of slope do you have when the line is horizontal and m=0?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A V
Even
Zero slope

25. Which direction does f(x+c) move
Odd
Horizontal left
The minimum or maximum points
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

26. What is the range of a square root function?
Odd
[0 -+infinity)
Y=10
F(x2)-f(x1) / x2-x1

27. What is slope?
Parabola - up one and right three
Line ascending to the right gradually
Horizontal left
A line passing through two distinct points

28. 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
Undefined slope
Math 4 x - graph
Yes - all the domains points to one range

29. What is the formula for an absolute value function?
F(x+h)-f(x)/h h cannot equal zero
F(x)=IxI
Absolute Value - Constant and Standard Quadratic
Y=x - identity function

30. Two vertical lines side by side are a symbol for what
Parraelle line
4 -6 -9
C>1 - horizontal shrinking
(-infinity - +infinity)

31. x=all real numbers is what type of an equation?
Identity
Horizontal
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

32. In an identity function if f(10)=x than What is y?
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
Any set of ordered pairs
Y=10
The first set of components of an ordered pair

33. 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
Undefined
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

34. What is the range of the cube root function?
Any set of ordered pairs
Horizontal
(-infinity - +infinity)
The secant line

35. Draw or discuss an increasing function
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
Down

36. What is the point slope formula and when do you use it?
The second set of components of an ordered pair
The second set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+c) and f(x-c)

37. x=no real numbers is what type of an equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic

38. What is the letter used to represent slope?
Even
M
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 math 3 graph

39. What is another way to write f(x)=x - what type of function is this?
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
Negative inverse
Y=x - identity function

40. standard absolute value - vertical shift formulas for positve and negative
Conditional
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x
X=a

41. What are the calculator instructions for the cube root function?
Y=10
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Math 4 x - graph
Neither

42. What is the domain of an identity function?
The secant line
(-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.
Even

43. y^2+x=4 is this a function? Why?

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44. What is the average rate of change formula?
F(x+c) and f(x-c)
F(x2)-f(x1) / x2-x1
F(x)=IxI
Odd

45. What is the formula for the cube root function?
Even
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=3 square root x

46. Is an absolute value function even - odd or neither?
Even
1 -2 -3
X = the original sale price and the formula is x - .40x =$276
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

47. What is the formula for to calculate the difference of a quotient function?
[0 -+infinity)
When does a graph not define y as a function of x?
F(x+h)-f(x)/h h cannot equal zero
Negative slope

48. What points do you use to plot the inverse on a graph?
Line ascending to the right gradually
The opposite coordinates
45 degree angle
Horizontal

49. What are the four steps for finding the inverse of a function?
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Math 4 x - graph
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

50. 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
Undefined
Line ascending to the right gradually
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040