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Test your basic knowledge |
College Algebra Test
Start Test
Study First
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 the standard cubic function odd - even or neither?
X=a
In a quotient
F(x)=3 square root x
Odd
2. What is the formula for the square root function?
F(x+h)-f(x)/h h cannot equal zero
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
3. Is an absolute value function even - odd or neither?
Even
As many as you like
(-infinity - 0]you[0 - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4. 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?
As equations
2nd catalog (zero key -) abs(x) - graph
Y= then enter the number then press graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
5. What is an identity function?
Horizontal
45 degree angle
Odd
The second set of components of an ordered pair
6. Of the seven of algebra's common graph's how many are neither?
F(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic
(f+g) - (f-g) - (fg) - (f/g) all of x
Square Root
7. What are the calculator instructions for absolute value?
Set the x and y to zero and get the intercepts and then plot the points
Neither
2nd catalog (zero key -) abs(x) - graph
C>1 - horizontal shrinking
8. How are functions normally written?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X math 3 graph
0<c<1 - horizontal stretching
As equations
9. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic
10. x=no real numbers is what type of an equation?
(-infinity - +infinity)
Inconsistant
(-infinity - 0]you[0 - +infinity)
4 -6 -9
11. What is the slope intercept formula? Define all the variables.
Parraelle line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20+.05x=5+.10x x=minutes
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
12. Is a standard quadratic function even - odd or neither?
Even
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Perpendicular line
13. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Inconsitent
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
14. What does linear equation mean?
Equation of a line
Conditional
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
15. What type of slope do vertical lines have?
Undefined
Y=b
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.
Horizontal right
16. What are the calculator instructions for the cube root function?
Horizontal right
F(x) = x
Math 4 x - graph
As many as you like
17. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x
18. What is the formula for slope?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
The minimum or maximum points
C>1 - horizontal shrinking
19. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
The minimum or maximum points
20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F(x)=+c and f(x)-c
Down
Even
21. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Identity
In a quotient
22. What shape is the standard quadratic function?
F(x)=3 square root x
Parabola
Postiive slope
F(x) = x
23. What does the standard cubic function look like on a graph?
Three odd - cube root - identity - standard cubic
X is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant
C>1 - horizontal shrinking
24. What is the range of the cube root function?
Conditional
(-infinity - +infinity)
Negative slope
Yes because two x's or domains can point to one y
25. What are the algebra of functions?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
26. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Horizontal
F(x)=suare root of x
F(x)=+c and f(x)-c
27. What is the formula for an identity function?
Even
F(x+c) and f(x-c)
F(x) = x
Horizontal left
28. What is an identity function?
As many as you like
F(x)=+c and f(x)-c
Neither
45 degree angle
29. 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
F(x)=+c and f(x)-c
F(x)=x^3
Inconsistant
30. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Horizontal
X=a
[0 -+infinity)
31. Is a constant function even - odd or neither?
Even
X^2
Change in y / change in x = rise / run = y2-y1 / x2-x1
Neither
32. When is the only time (-infinity - +infinity) is not the domain?
F(x)=+c and f(x)-c
Y= then enter the number then press graph
Undefined
In a quotient
33. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The single number y=
Square Root
(-infinity - 0]you[0 - +infinity)
34. What is the domain of the cube root function?
Horizontal left
Y=10
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
35. What type of line is a constant function?
Horizontal
Identity
Cannot be drawn in quizlet
Cannot be drawn in quizlet
36. x^2+y=4 is this a function? Why?
37. What is a range?
Conditional
(-infinity - +infinity)
The second set of components of an ordered pair
Perpendicular line
38. What is the domain for an absolute value function?
Perpendicular line
(-infinity - +infinity)
Even
(-infinity - 0]you[0 - +infinity)
39. Is the square root function odd - even or neither?
2nd key - x^2 - graph
When does a graph not define y as a function of x?
Neither
Conditional
40. What is the domain of the cube root function?
(-infinity - +infinity)
Perpendicular line
Piecewise
Zero slope
41. What is the slope of a perpendicular line?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative inverse
(-infinity - +infinity)
The first set of components of an ordered pair
42. What are the calculator instructions for a square root function?
M
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - 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
43. What is a constant function?
Postiive slope
Y=x^2 - graph
F(x^1)=f(x^2)
Even
44. How many domains can you have pointing to one range?
Because the demintor of a quotient can never equal zero
As many as you like
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x2)-f(x1) / x2-x1
45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The secant line
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
Yes - all the domains points to one range
The second set of components of an ordered pair
46. What is the formula for an absolute value function?
The opposite coordinates
F(x)=IxI
Cannot be drawn in quizlet
F(x)=suare root of x
47. What is the domain of an identity function?
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant
X math 3 graph
(-infinity - +infinity)
48. What type of slope do you have when a line rises from left to right and m>0?
Odd
Horizontal right
(-infinity - +infinity)
Postiive slope
49. What does the graph of the cube root function look like on the graph?
Postiive slope
Down
Approach neg toward x through zero and above positive close to x
Set the x and y to zero and get the intercepts and then plot the points
50. y^2+x=4 is this a function? Why?