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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. What are the steps for solving a word problem?
Yes because two x's or domains can point to one y
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2. x= a real number is what type of equation?
(-infinity - 0]you[0 - +infinity)
Horizontal
Conditional
F(x^1)=f(x^2)
3. What is the range for the standard cubic function?
As many as you like
(-infinity - +infinity)
[0 -+infinity)
X math 3 graph
4. How many ranges can you have for each domain?
Odd
Conditional
Only one
Conditional
5. What is the range of the constant function?
(-infinity - +infinity)
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant
The single number y=
6. What are the calculator instructions for the standard cubic function?
The single number y=
A line passing through two distinct points
(-infinity - +infinity)
X math 3 graph
7. What is a function?
The single number y=
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X = the original sale price and the formula is x - .40x =$276
X2-x1 because the demonaitor of a quotient can never equal zero
8. What is the slope intercept formula? Define all the variables.
Cannot be drawn in quizlet
(-infinity - +infinity)
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
9. x=all real numbers is what type of an equation?
The first set of components of an ordered pair
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
10. x= a real number is what type of equation?
Conditional
Negative slope
45 degree angle
Only one
11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Horizontal
Negative inverse
Yes - all the domains points to one range
Zero slope
12. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Y
Parabola
(-infinity - +infinity)
13. 4x+5x=8x is what type of an equation?
Negative inverse
Even
Parraelle line
Conditional
14. What are the calculator instructions for a standard quadratic equation?
[0 -+infinity)
(-infinity - +infinity)
Function notation
Y=x^2 - graph
15. Which direction does f(x-c) move
Y= then enter the number then press graph
Horizontal right
Y=10
2nd catalog (zero key -) abs(x) - graph
16. What type of slope do you have when m=? and the line is vertical?
Negative inverse
Down
The secant line
Undefined slope
17. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
Zero slope
20+.05x=5+.10x x=minutes
As many as you like
18. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
4 -6 -9
X is the hours to repair the boat. $1603-532=anwser/63 = x
Square Root
19. What does the square root function look like on a graph?
F(x+c) and f(x-c)
Negative inverse
Line ascending to the right gradually
The slope of a line containing two points
20. What does the graph of the cube root function look like on the graph?
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
21. What does the square root function look like on a graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As equations
Line ascending to the right gradually
Function notation
22. What type of function would you use to calculate the most advantageous cell phone plan?
The opposite coordinates
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Piecewise
23. What is the range of the cube root function?
(-infinity - +infinity)
The second set of components of an ordered pair
X=a
Yes because two x's or domains can point to one y
24. What is the vertical line formula?
X^2
F(x^1)=f(x^2)
The slope of a line containing two points
X=a
25. What type of line is a constant function?
Horizontal
Perpendicular line
Inconsistant
4 -6 -9
26. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
27. What is the vertex?
Up
The minimum or maximum points
Yes because two x's or domains can point to one y
Y=x^2 - graph
28. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
20+.05x=5+.10x x=minutes
Negative inverse
F(x)=3 square root x
29. What does the standard cubic function look like on a graph?
The secant line
(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
(-infinity - +infinity)
30. How do you graph Ax+By+C=0?
Equation of a line
45 degree angle
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points
31. What are the calculator instructions for a square root function?
Odd
Mirror image neg quadrant to that of the positive quandrant
F of g and g of f
2nd key - x^2 - graph
32. Why can h not equal zero in the difference of a quotient function formula?
Horizontal right
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
Because the demintor of a quotient can never equal zero
Down
33. What is the domain and range of a constant function?
The single number y=
Inconsistant
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
34. How are functions normally written?
Square Root
As equations
X = the original sale price and the formula is x - .40x =$276
F(x)=IxI
35. Of the seven of algebra's common graph's how many are odd?
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Three odd - cube root - identity - standard cubic
F(x) = x
36. What is the formula for to calculate the difference of a quotient function?
Even
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
37. What points do you use to plot the inverse on a graph?
Horizontal
The opposite coordinates
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
38. What are the calculator instructions for a square root function?
Equation of a line
F of g and g of f
F(x)=+c and f(x)-c
2nd key - x^2 - graph
39. What type of slope do vertical lines have?
Undefined
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Y
40. Which direction does f(x-c) move
Even
Horizontal right
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
41. What is the range for a standard quadratic function?
M
(-infinity - 0]you[0 - +infinity)
Y
The first set of components of an ordered pair
42. 4(x-7)=4x+28 is what type of an equation?
Three odd - cube root - identity - standard cubic
Inconsitent
2nd catalog (zero key -) abs(x) - graph
[0 -+infinity)
43. What type of slope do horizontal lines have?
Down
Same
Inconsistant
X math 3 graph
44. What does the absolute value function look like?
A V
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)
Identity
45. What is an identity function?
Horizontal
45 degree angle
When does a graph not define y as a function of x?
2nd catalog (zero key -) abs(x) - graph
46. What is the vertical line test?
X=a
2nd key - x^2 - graph
C>1 - horizontal shrinking
When does a graph not define y as a function of x?
47. What is a domain?
Even
Parabola - up one and right three
The first set of components of an ordered pair
Parabola - up one and right three
48. What is a range?
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
[0 -+infinity)
The second set of components of an ordered pair
49. What are the calculator instructions for absolute value?
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
2nd catalog (zero key -) abs(x) - graph
The single number y=
50. What is slope?
A line passing through two distinct points
Odd
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
X2-x1 because the demonaitor of a quotient can never equal zero