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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 domain for a standard quadratic 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
(-infinity - +infinity)
Any set of ordered pairs
X math 3 graph
2. Is the standard cubic function odd - even or neither?
F(x)=x^3
Odd
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
3. What type of function would you use to calculate the most advantageous cell phone plan?
Cannot be drawn in quizlet
Piecewise
Horizontal
0<c<1 - horizontal stretching
4. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
Square Root
F(x)=x^3
5. What is the domain and range of a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined slope
Y=x - identity function
(-infinity - +infinity)
6. Is a standard quadratic function even - odd or neither?
Zero slope
Even
Identity
Inconsitent
7. What is the range of an identity function?
(-infinity - +infinity)
Identity
Inconsitent
Only one
8. What is the vertical line formula?
Inconsitent
Because the demintor of a quotient can never equal zero
X=a
(-infinity - +infinity)
9. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Y
M
10. What is the vertex?
The minimum or maximum points
F(x)=IxI
Equation of a line
(-infinity - +infinity)
11. What are the calculator instructions for a square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd key - x^2 - graph
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
12. What is the formula for the standard cubic function?
F(x)=x^3
F(x+h)-f(x)/h h cannot equal zero
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.
F(x+h)-f(x)/h h cannot equal zero
13. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Down
Square Root
14. What is a constant function?
Odd
F(x^1)=f(x^2)
X^2
Negative inverse
15. Is the square root function odd - even or neither?
Neither
Because the demintor of a quotient can never equal zero
The secant line
F(x2)-f(x1) / x2-x1
16. What is the domain of an identity function?
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
17. What are the calculator instructions for the cube root function?
Math 4 x - graph
(-infinity - +infinity)
Same
The minimum or maximum points
18. Is a constant function even - odd or neither?
Even
Y=x^2 - graph
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.
F(x) = x
19. What is the slope of a perpendicular line?
Function notation
Odd
Negative inverse
Yes because two x's or domains can point to one y
20. What is the letter used to represent slope?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Piecewise
M
21. What is another way of writing the absolute value function?
Yes - all the domains points to one range
Y=IxI
F(x+c) and f(x-c)
Cannot be drawn in quizlet
22. $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?
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
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
Even
Function notation
23. $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?
F(x)=suare root of x
F(x)=IxI
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
Even
24. What is the formula for the cube root function?
F(x)=3 square root x
F(x)=x^3
Perpendicular line
Approach neg toward x through zero and above positive close to x
25. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Odd
Neither
26. What type of slope do horizontal lines have?
(-infinity - +infinity)
Same
Perpendicular line
Because the demintor of a quotient can never equal zero
27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - 0]you[0 - +infinity)
Zero slope
(-infinity - 0]you[0 - +infinity)
28. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Neither
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)
29. y=f(cx) - What does this formula represent?
[0 -+infinity)
2nd key - x^2 - graph
C>1 - horizontal shrinking
X2-x1 because the demonaitor of a quotient can never equal zero
30. How many domains can you have pointing to one range?
As many as you like
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
When does a graph not define y as a function of x?
F(x)=suare root of x
31. What is the domain for the standard cubic function?
Y= then enter the number then press graph
(-infinity - +infinity)
F(x)=IxI
20+.05x=5+.10x x=minutes
32. Is an absolute value function even - odd or neither?
Zero slope
(-infinity - 0]you[0 - +infinity)
Even
As equations
33. Of the seven of algebra's common graph's how many are even?
Y=IxI
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph
X math 3 graph
34. In an identity function if f(10)=x than What is y?
As equations
Function notation
Y=10
Cannot be drawn in quizlet
35. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
4 -6 -9
F(x)=+c and f(x)-c
(-infinity - +infinity)
36. What can never equal zero in the slope formula and why?
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional
37. What is the range of the cube root function?
Up
(-infinity - +infinity)
When does a graph not define y as a function of x?
Neither
38. x^2+y=4 is this a function? Why?
39. What is a domain?
F(x+c) and f(x-c)
Identity
[0 -+infinity)
The first set of components of an ordered pair
40. What shape is the standard quadratic function?
Y=x - identity function
Parabola
Inconsistant
(-infinity - +infinity)
41. What is the range for a standard quadratic function?
A line passing through two distinct points
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Undefined slope
42. y=f(cx) What does this formula represent?
Function notation
Even
0<c<1 - horizontal stretching
Inconsitent
43. What is the horizontal line formula?
2nd key - x^2 - graph
The slope of a line containing two points
Y=b
F(x)=+c and f(x)-c
44. What is the formula for an absolute value function?
X=a
F(x)=IxI
Only one
Even
45. Of the seven of algebra's common graph's how many are odd?
F(x)=IxI
Three odd - cube root - identity - standard cubic
No because you cannot have one domain pointing at two y's or ranges
Horizontal right
46. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Y= then enter the number then press graph
In a quotient
47. What type of slope do you have when a line rises from left to right and m>0?
Even
Only one
The slope of a line containing two points
Postiive slope
48. standard absolute value - horizontal shift formulas for left and right
M
Even
F(x+c) and f(x-c)
Approach neg toward x through zero and above positive close to x
49. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Down
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=
F(x)=3 square root x
50. How many ranges can you have for each domain?
4 -6 -9
A V
Only one
The slope of a line containing two points