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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 type of slope do you have when the line is horizontal and m=0?
Zero slope
Odd
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
2. What type of slope do you have when a line rises from left to right and m>0?
Any set of ordered pairs
Same
Three odd - cube root - identity - standard cubic
Postiive slope
3. What is the domain of an identity function?
(-infinity - +infinity)
F(x)=x^3
Identity
Three odd - cube root - identity - standard cubic
4. What points do you use to plot the inverse on a graph?
Inconsitent
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9
The opposite coordinates
5. What is a range?
Only one
F(x^1)=f(x^2)
The second set of components of an ordered pair
Identity
6. What is the standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X^2
(-infinity - +infinity)
(-infinity - +infinity)
7. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Negative inverse
Neither
Identity
8. What are the calculator instructions for the standard cubic function?
X math 3 graph
C>1 - horizontal shrinking
Y=b
Function notation
9. What is the formula for an identity function?
F(x) = x
In a quotient
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
Even
10. x^2+y=4 is this a function? Why?
11. 4x+5x=8x is what type of an equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Function notation
Conditional
Odd
12. y=f(cx) What does this formula represent?
Even
X math 3 graph
0<c<1 - horizontal stretching
Y=x - identity function
13. What is the range for a standard quadratic 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
(-infinity - 0]you[0 - +infinity)
F(x+c) and f(x-c)
F(x2)-f(x1) / x2-x1
14. What is the slope intercept formula? Define all the variables.
The second set of components of an ordered pair
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.
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
15. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F of g and g of f
F(x)=IxI
16. What type of line is a constant function?
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
0<c<1 - horizontal stretching
Horizontal
17. What is the formula for the square root function?
X = the original sale price and the formula is x - .40x =$276
Negative inverse
45 degree angle
F(x)=suare root of x
18. How many ranges can you have for each domain?
Any set of ordered pairs
X=a
Only one
The single number y=
19. What does the average rate of change formula solve?
Postiive slope
Even
The slope of a line containing two points
F(x^1)=f(x^2)
20. Two vertical lines side by side are a symbol for what
Neither
20+.05x=5+.10x x=minutes
Parraelle line
Y= then enter the number then press graph
21. What is the vertical line formula?
As many as you like
2nd catalog (zero key -) abs(x) - graph
Only one
X=a
22. What is slope?
A line passing through two distinct points
Horizontal
Square Root
1 -2 -3
23. 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
45 degree angle
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes
24. What is the point slope formula and when do you use it?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=3 square root x
F(x2)-f(x1) / x2-x1
25. What is the formula for the square root function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10
F(x)=suare root of x
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
26. What is the letter used to represent slope?
(-infinity - 0]you[0 - +infinity)
Conditional
Set the x and y to zero and get the intercepts and then plot the points
M
27. What is the formula for the standard cubic function?
F(x)=x^3
Y
Yes - all the domains points to one range
Postiive slope
28. How do you calculate a constant function in your calculator?
Zero slope
The opposite coordinates
Even
Y= then enter the number then press graph
29. What is the range of the constant function?
The single number y=
Square Root
As equations
F(x+c) and f(x-c)
30. Is a constant function even - odd or neither?
Inconsistant
Even
Horizontal
(-infinity - +infinity)
31. What is the formula in both horizontal stretching and horizontal shrinking?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
32. What is the formula for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
F(x)=IxI
33. Is an identity function even - odd or neither?
Inconsistant
Odd
Conditional
X = the original sale price and the formula is x - .40x =$276
34. What is the vertical line formula?
X=a
Inconsitent
Equation of a line
Undefined slope
35. What is the range for the standard cubic function?
(-infinity - +infinity)
Perpendicular line
Y
Y=b
36. What is the formula for the cube root function?
[0 -+infinity)
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x - identity function
37. How are functions normally written?
F(x)=suare root of x
As equations
F(x^1)=f(x^2)
0<c<1 - horizontal stretching
38. What is an identity function?
45 degree angle
Conditional
Undefined
X=a
39. What are the calculator instructions for a standard quadratic equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x^1)=f(x^2)
Y=x^2 - graph
A line passing through two distinct points
40. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Set the x and y to zero and get the intercepts and then plot the points
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.
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
41. What is another way of writing the absolute value function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X2-x1 because the demonaitor of a quotient can never equal zero
The single number y=
Y=IxI
42. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Function notation
(-infinity - +infinity)
Piecewise
43. What is the range for an absolute value function?
Only one
Negative slope
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)
44. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
F(x)=IxI
Mirror image neg quadrant to that of the positive quandrant
Inconsitent
45. Is a standard quadratic function even - odd or neither?
The opposite coordinates
Conditional
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1
46. What is the range of the constant function?
The single number y=
Perpendicular line
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
47. What points do you use to plot the inverse on a graph?
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
The opposite coordinates
Y
48. Is an absolute value function even - odd or neither?
Even
F(x^1)=f(x^2)
Absolute Value - Constant and Standard Quadratic
(-infinity - 0]you[0 - +infinity)
49. What type of slope do vertical lines have?
A V
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Undefined
50. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - 0]you[0 - +infinity)
Up
The secant line
Horizontal left