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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 average rate of change formula?
Y=x^2 - graph
F(x)=x^3
45 degree angle
F(x2)-f(x1) / x2-x1
2. When is the only time (-infinity - +infinity) is not the domain?
Inconsistant
In a quotient
When does a graph not define y as a function of x?
X^2
3. What is the formula for the standard cubic function?
F(x)=3 square root x
The second set of components of an ordered pair
(-infinity - +infinity)
F(x)=x^3
4. Is the square root function odd - even or neither?
Neither
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent
5. Is an absolute value function even - odd or neither?
F(x)=3 square root x
Horizontal right
Parraelle line
Even
6. What can we substitute for f(x)?
Mirror image neg quadrant to that of the positive quandrant
Parabola
Y
(-infinity - +infinity)
7. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant
Piecewise
8. What is the domain and range of a constant function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
Equation of a line
9. Which direction does f(x)=+c move in standard absolute value formula?
Up
Identity
Inconsitent
(-infinity - +infinity)
10. What is the range for the standard cubic function?
Parraelle line
Y= then enter the number then press graph
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
11. What is the domain and range of a constant function?
(-infinity - +infinity)
Identity
C>1 - horizontal shrinking
Negative inverse
12. What are the steps for solving a word problem?
(-infinity - 0]you[0 - +infinity)
Same
Down
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
13. How are functions normally written?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
X^2
As equations
14. What is the range of the constant function?
Cannot be drawn in quizlet
Math 4 x - graph
The single number y=
M
15. f(x) = x^2+3x+5 - what type of formula is this?
0<c<1 - horizontal stretching
Parraelle line
Function notation
Change in y / change in x = rise / run = y2-y1 / x2-x1
16. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Function notation
Conditional
When does a graph not define y as a function of x?
17. Is the standard cubic function odd - even or neither?
Piecewise
Function notation
The secant line
Odd
18. In an identity function if f(10)=x than What is y?
X math 3 graph
Absolute Value - Constant and Standard Quadratic
Y=10
F(x) = x
19. What are the four steps for finding the inverse of a function?
Y=x^2 - graph
(-infinity - +infinity)
Y=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20. What are the calculator instructions for a standard quadratic equation?
2nd key - x^2 - graph
0<c<1 - horizontal stretching
Zero slope
Y=x^2 - graph
21. How many ranges can you have for each domain?
The minimum or maximum points
Only one
(-infinity - 0]you[0 - +infinity)
Y=x - identity function
22. What does the average rate of change formula solve?
(-infinity - +infinity)
The slope of a line containing two points
Cannot be drawn in quizlet
Y= then enter the number then press graph
23. standard absolute value - horizontal shift formulas for left and right
Y=x - identity function
The second set of components of an ordered pair
F(x+c) and f(x-c)
Equation of a line
24. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - 0]you[0 - +infinity)
2nd key - x^2 - graph
Y=x - identity function
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
25. What are the four steps for solving a linear equation?
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.
Undefined slope
(-infinity - +infinity)
Inconsitent
26. What is the range for an absolute value function?
Same
F(x^1)=f(x^2)
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
27. What is the slope of a perpendicular line?
Negative inverse
Horizontal left
Even
Parabola
28. What is the domain of a square root function?
Horizontal left
F(x)=suare root of x
[0 -+infinity)
Y= then enter the number then press graph
29. What are two examples of composit functions?
F(x)=suare root of x
F of g and g of f
Down
Odd
30. Is an identity function even - odd or neither?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd
Approach neg toward x through zero and above positive close to x
Postiive slope
31. What are the calculator instructions for the cube root function?
Odd
The secant line
Equation of a line
Math 4 x - graph
32. Is an identity function even - odd or neither?
Odd
Perpendicular line
The secant line
F(x2)-f(x1) / x2-x1
33. What is the vertical line test?
Function notation
When does a graph not define y as a function of x?
F(x)=suare root of x
Same
34. y=f(cx) - What does this formula represent?
F(x)=x^3
C>1 - horizontal shrinking
Cannot be drawn in quizlet
X=a
35. y=f(cx) What does this formula represent?
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching
The first set of components of an ordered pair
36. Is the square root function odd - even or neither?
Cannot be drawn in quizlet
Down
Neither
Yes - all the domains points to one range
37. What type of line is a constant function?
F(x)=+c and f(x)-c
Horizontal
45 degree angle
Inconsitent
38. What is a range?
Even
Horizontal left
The second set of components of an ordered pair
F(x) = x
39. What type of line is an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
Same
40. What is the formula for an absolute value function?
F(x)=IxI
Line ascending to the right gradually
45 degree angle
(-infinity - +infinity)
41. What can never equal zero in the slope formula and why?
As equations
2nd key - x^2 - graph
X=a
X2-x1 because the demonaitor of a quotient can never equal zero
42. When is the only time (-infinity - +infinity) is not the domain?
F(x)=x^3
In a quotient
Square Root
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
43. 4(x-7)=4x-28 is what type of an equation?
Negative inverse
20+.05x=5+.10x x=minutes
Identity
F(x)=x^3
44. f(x) = x^2+3x+5 - what type of formula is this?
Up
Function notation
Set the x and y to zero and get the intercepts and then plot the points
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
45. What is the letter used to represent slope?
Y=IxI
2nd catalog (zero key -) abs(x) - graph
Function notation
M
46. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Function notation
F(x2)-f(x1) / x2-x1
F(x)=IxI
47. y^2+x=4 is this a function? Why?
48. What can we substitute for f(x)?
Y
(-infinity - +infinity)
Parraelle line
F(x)=suare root of x
49. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Horizontal
Line ascending to the right gradually
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
50. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
F(x)=IxI
F(x)=IxI
Zero slope