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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. Is a standard quadratic function even - odd or neither?
Even
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
Negative inverse
Any set of ordered pairs

2. 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?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
X is the hours to repair the boat. $1603-532=anwser/63 = x

3. Which direction does f(x-c) move
C>1 - horizontal shrinking
(-infinity - +infinity)
The second set of components of an ordered pair
Horizontal right

4. What direction does f(x)-c move in standard absolute value formula?
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
In a quotient
Down
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

5. How many domains can you have pointing to one range?
As many as you like
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Perpendicular line
(-infinity - +infinity)

6. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
45 degree angle
Math 4 x - graph
Math 4 x - graph

7. Draw or discuss an increasing function
The second set of components of an ordered pair
Cannot be drawn in quizlet
X^2
45 degree angle

8. What is the domain for an absolute value function?
Y= then enter the number then press graph
(-infinity - +infinity)
Y=x - identity function
Parabola - up one and right three

9. What is the vertical line test?
When does a graph not define y as a function of x?
Identity
Horizontal
Postiive slope

10. What is the vertical line formula?
X=a
Undefined slope
Set the x and y to zero and get the intercepts and then plot the points
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.

11. What are the calculator instructions for the cube root function?
C>1 - horizontal shrinking
Odd
F(x2)-f(x1) / x2-x1
Math 4 x - graph

12. What is the formula for the standard cubic function?
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
F(x)=x^3
The second set of components of an ordered pair

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X2-x1 because the demonaitor of a quotient can never equal zero
Only one
When does a graph not define y as a function of x?
The secant line

14. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The slope of a line containing two points
Same
F of g and g of f
X = the original sale price and the formula is x - .40x =$276

15. What is the domain and range of a constant function?
F(x2)-f(x1) / x2-x1
The secant line
(-infinity - +infinity)
Negative inverse

16. What is the slope intercept formula? Define all the variables.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The second set of components of an ordered pair

17. What is the domain of an identity function?
As many as you like
(-infinity - +infinity)
Any set of ordered pairs
The slope of a line containing two points

18. What type of slope do you have when a line falls left to right and m<0?
Undefined
Negative slope
F(x+c) and f(x-c)
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.

19. What are the calculator instructions for the standard cubic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Yes because two x's or domains can point to one y
X math 3 graph
Undefined slope

20. f(x) = x^2+3x+5 - what type of formula is this?
F of g and g of f
Function notation
Even
Parabola - up one and right three

21. What is the range for the standard cubic function?
(-infinity - +infinity)
Only one
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.
Y=b

22. What is the formula for the cube root function?
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
Absolute Value - Constant and Standard Quadratic
F(x)=3 square root x

23. What is the formula for the square root function?
Y=10
Odd
Neither
F(x)=suare root of x

24. What is the formula for to calculate the difference of a quotient function?
Y=b
F(x+h)-f(x)/h h cannot equal zero
Horizontal right
Y= then enter the number then press graph

25. What is the horizontal line formula?
Y=b
Line ascending to the right gradually
Yes - all the domains points to one range
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

26. What are two examples of composit functions?
F of g and g of f
F(x)=x^3
Y=b
2nd catalog (zero key -) abs(x) - graph

27. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Neither
Parraelle line
Y=x^2 - graph

28. What is the letter used to represent slope?
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c
1 -2 -3
M

29. What is the formula for an identity function?
Parraelle line
(-infinity - +infinity)
(-infinity - +infinity)
F(x) = x

30. What is the point slope formula and when do you use it?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

31. What type of line is an identity function?
Y=x - identity function
Horizontal right
45 degree angle
[0 -+infinity)

32. What is the domain of a square root function?
Zero slope
F(x)=+c and f(x)-c
Up
[0 -+infinity)

33. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
When does a graph not define y as a function of x?
C>1 - horizontal shrinking
Horizontal

34. Of the seven of algebra's common graph's how many are even?
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic
Inconsitent

35. x=all real numbers is what type of an equation?
Identity
Inconsitent
1 -2 -3
The secant line

36. What does the standard cubic function look like on a graph?
Inconsitent
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant

37. What is the formula in both horizontal stretching and horizontal shrinking?
Up
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
Yes - all the domains points to one range

38. What points do you use to plot the inverse on a graph?
X = the original sale price and the formula is x - .40x =$276
The opposite coordinates
Y=x - identity function
Conditional

39. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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
Identity
Cannot be drawn in quizlet

40. 4(x-7)=4x-28 is what type of an equation?
Identity
Same
Perpendicular line
45 degree angle

41. What is the range of the constant function?
The single number y=
(-infinity - +infinity)
(-infinity - +infinity)
Horizontal

42. What type of slope do you have when m=? and the line is vertical?
The slope of a line containing two points
(-infinity - +infinity)
Undefined slope
Square Root

43. What is the formula for the square root function?
Yes - all the domains points to one range
F(x)=suare root of x
Because the demintor of a quotient can never equal zero
Math 4 x - graph

44. 4x+5x=8x is what type of an equation?
Y
Perpendicular line
Absolute Value - Constant and Standard Quadratic
Conditional

45. What is the formula for an absolute value function?
F(x)=IxI
M
Identity
F(x2)-f(x1) / x2-x1

46. What are the steps for solving a word problem?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Only one
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

47. What does the average rate of change formula solve?
The slope of a line containing two points
M
Parabola - up one and right three
Approach neg toward x through zero and above positive close to x

48. $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?
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
F(x)=+c and f(x)-c
No because you cannot have one domain pointing at two y's or ranges
Y

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

50. What is a domain?
Undefined
The first set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Conditional