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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 is the formula for the standard cubic function?
F(x)=x^3
Inconsistant
(-infinity - +infinity)
Y=x - identity function
2. How do you graph Ax+By+C=0?
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph
M
Set the x and y to zero and get the intercepts and then plot the points
3. Is an absolute value function even - odd or neither?
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Negative slope
Y=b
4. Of the seven of algebra's common graph's how many are odd?
Horizontal
4 -6 -9
Three odd - cube root - identity - standard cubic
Mirror image neg quadrant to that of the positive quandrant
5. What can we substitute for f(x)?
Y
0<c<1 - horizontal stretching
Horizontal right
Yes because two x's or domains can point to one y
6. Is a standard quadratic function even - odd or neither?
Even
Three odd - cube root - identity - standard cubic
The secant line
In a quotient
7. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
Odd
Even
8. What is an identity function?
Even
(-infinity - +infinity)
Horizontal right
45 degree angle
9. What are the calculator instructions for a standard quadratic equation?
When does a graph not define y as a function of x?
(-infinity - +infinity)
(-infinity - +infinity)
Y=x^2 - graph
10. What direction does f(x)-c move in standard absolute value formula?
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
Down
20+.05x=5+.10x x=minutes
11. What is the domain and range of a constant function?
Negative slope
Parabola
(-infinity - +infinity)
[0 -+infinity)
12. x= a real number is what type of equation?
Odd
Even
Conditional
Postiive slope
13. What equation does every line have? Discuss the variables.
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
Postiive slope
Negative slope
14. What is the domain of a square root function?
F(x2)-f(x1) / x2-x1
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)
15. What is the formula for an identity function?
F of g and g of f
(-infinity - 0]you[0 - +infinity)
F(x) = x
X is the hours to repair the boat. $1603-532=anwser/63 = x
16. What is the range of a square root function?
[0 -+infinity)
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
17. What type of slope do vertical lines have?
The secant line
Undefined
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1
18. What is the range of the constant function?
Piecewise
The single number y=
X is the hours to repair the boat. $1603-532=anwser/63 = x
[0 -+infinity)
19. What is the vertical line formula?
The opposite coordinates
X=a
Approach neg toward x through zero and above positive close to x
Even
20. What is the domain for an absolute value function?
The second set of components of an ordered pair
Odd
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
(-infinity - +infinity)
21. What is the domain for a standard quadratic function?
Horizontal
Only one
Cannot be drawn in quizlet
(-infinity - +infinity)
22. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y= then enter the number then press graph
F(x)=IxI
Identity
23. What is the vertical line test?
When does a graph not define y as a function of x?
0<c<1 - horizontal stretching
The secant line
Yes because two x's or domains can point to one y
24. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
Yes - all the domains points to one range
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
25. 4x+5x=8x is what type of an equation?
Even
Conditional
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
26. What does the absolute value function look like?
The second set of components of an ordered pair
[0 -+infinity)
Horizontal
A V
27. What does the square root function look like on a graph?
X2-x1 because the demonaitor of a quotient can never equal zero
X^2
Line ascending to the right gradually
F(x^1)=f(x^2)
28. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
F of g and g of f
Identity
As many as you like
29. Is an identity function even - odd or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
F(x) = x
Odd
30. y^2+x=4 is this a function? Why?
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183
31. What is the slope intercept formula? Define all the variables.
Same
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A V
Parraelle line
32. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
Even
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
33. x^2+y=4 is this a function? Why?
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183
34. What type of line is an identity function?
Approach neg toward x through zero and above positive close to x
Y=x - identity function
45 degree angle
F(x+c) and f(x-c)
35. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Identity
M
The minimum or maximum points
36. What are the calculator instructions for the cube root function?
F(x) = x
Mirror image neg quadrant to that of the positive quandrant
Math 4 x - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
37. What is the vertical line formula?
X=a
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
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
38. What type of slope do horizontal lines have?
Any set of ordered pairs
Yes - all the domains points to one range
Same
Y=IxI
39. Is the square root function odd - even or neither?
45 degree angle
(-infinity - 0]you[0 - +infinity)
Neither
20+.05x=5+.10x x=minutes
40. What is the average rate of change formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The minimum or maximum points
Even
F(x2)-f(x1) / x2-x1
41. In an identity function if f(10)=x than What is y?
Conditional
Y=10
2nd catalog (zero key -) abs(x) - graph
Function notation
42. What is the slope intercept formula? Define all the variables.
Identity
Up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The second set of components of an ordered pair
43. What is the formula for an identity function?
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
X=a
Cannot be drawn in quizlet
F(x) = x
44. What type of slope do vertical lines have?
Undefined
Math 4 x - graph
4 -6 -9
Odd
45. What type of slope do you have when a line falls left to right 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.
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative slope
46. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Because the demintor of a quotient can never equal zero
Undefined
47. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
Even
Y= then enter the number then press graph
The secant line
48. In an identity function if f(10)=x than What is y?
Y=10
Cannot be drawn in quizlet
F(x)=3 square root x
45 degree angle
49. What is the domain of the cube root function?
2nd catalog (zero key -) abs(x) - graph
Even
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
50. What does the average rate of change formula solve?
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
Identity
Down
The slope of a line containing two points