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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. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Only one
Down
The slope of a line containing two points
2. What is the domain and range of a constant function?
The single number y=
A line passing through two distinct points
Cannot be drawn in quizlet
(-infinity - +infinity)
3. What does linear equation mean?
Identity
Equation of a line
Y=x^2 - graph
F(x)=3 square root x
4. What is the horizontal line formula?
Equation of a line
Zero slope
Undefined slope
Y=b
5. What is the standard quadratic function?
A V
Y= then enter the number then press graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X^2
6. How many domains can you have pointing to one range?
Parabola - up one and right three
As many as you like
2nd key - x^2 - graph
(-infinity - +infinity)
7. Draw or discuss a constant function
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parabola - up one and right three
Piecewise
Cannot be drawn in quizlet
8. y=f(cx) What does this formula represent?
F(x)=3 square root x
F(x)=suare root of x
0<c<1 - horizontal stretching
As equations
9. Is an absolute value function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X=a
Even
(-infinity - +infinity)
10. What type of slope do you have when a line rises from left to right and m>0?
Line ascending to the right gradually
Odd
Postiive slope
X math 3 graph
11. What does the square root function look like on a graph?
Parabola - up one and right three
Negative slope
Line ascending to the right gradually
As many as you like
12. What are the calculator instructions for the standard cubic function?
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
X math 3 graph
13. What are the calculator instructions for the standard cubic function?
Square Root
Negative inverse
The single number y=
X math 3 graph
14. What is the range for a standard quadratic function?
[0 -+infinity)
0<c<1 - horizontal stretching
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
15. 4(x-7)=4x+28 is what type of an equation?
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
Parabola - up one and right three
Inconsitent
Up
16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Inconsitent
Yes - all the domains points to one range
Approach neg toward x through zero and above positive close to x
Perpendicular line
17. What is the formula for the standard cubic function?
Function notation
Down
F(x)=x^3
Zero slope
18. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X^2
Only one
The opposite coordinates
20+.05x=5+.10x x=minutes
19. What equation does every line have? Discuss the variables.
Only one
X math 3 graph
The single number y=
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.
20. In an identity function if f(10)=x than What is y?
Y=10
Odd
F(x)=x^3
X2-x1 because the demonaitor of a quotient can never equal zero
21. What direction does f(x)-c move in standard absolute value formula?
The first set of components of an ordered pair
Y= then enter the number then press graph
Y=IxI
Down
22. What are the calculator instructions for a standard quadratic equation?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
As many as you like
Y=x^2 - graph
23. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
Down
F(x)=+c and f(x)-c
As many as you like
24. 4(x-7)=4x-28 is what type of an equation?
Math 4 x - graph
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.
Conditional
Identity
25. What is the vertical line formula?
X2-x1 because the demonaitor of a quotient can never equal zero
Parabola
(-infinity - +infinity)
X=a
26. What does the absolute value function look like?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Because the demintor of a quotient can never equal zero
F(x)=suare root of x
A V
27. y=f(cx) - What does this formula represent?
Cannot be drawn in quizlet
[0 -+infinity)
C>1 - horizontal shrinking
The minimum or maximum points
28. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+c) and f(x-c)
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.
29. What is the range of the constant function?
X=a
Math 4 x - graph
The single number y=
Because the demintor of a quotient can never equal zero
30. standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
1 -2 -3
F(x+c) and f(x-c)
Identity
31. What is a function?
Three odd - cube root - identity - standard cubic
[0 -+infinity)
Undefined
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
32. What is slope?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1 -2 -3
The slope of a line containing two points
A line passing through two distinct points
33. Is an identity function even - odd or neither?
Odd
Set the x and y to zero and get the intercepts and then plot the points
Inconsistant
F(x+h)-f(x)/h h cannot equal zero
34. What type of line is an identity function?
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
F(x)=3 square root x
45 degree angle
35. Which direction does f(x+c) move
Only one
2nd catalog (zero key -) abs(x) - graph
In a quotient
Horizontal left
36. What is the range for an absolute value function?
Undefined slope
In a quotient
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)
37. How do you graph Ax+By+C=0?
4 -6 -9
Mirror image neg quadrant to that of the positive quandrant
Y= then enter the number then press graph
Set the x and y to zero and get the intercepts and then plot the points
38. What does the standard cubic function look like on a graph?
When does a graph not define y as a function of x?
Y=b
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)
39. What are two examples of composit functions?
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
F of g and g of f
Function notation
40. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points
41. What direction does f(x)-c move in standard absolute value formula?
Down
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
F(x)=+c and f(x)-c
42. What is the letter used to represent slope?
(-infinity - +infinity)
M
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=IxI
43. What is the formula in both horizontal stretching and horizontal shrinking?
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal
The single number y=
44. What is the domain of the cube root function?
Cannot be drawn in quizlet
Even
X math 3 graph
(-infinity - +infinity)
45. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Odd
F(x+c) and f(x-c)
X=a
46. Which direction does f(x-c) move
(-infinity - +infinity)
Equation of a line
Horizontal right
The opposite coordinates
47. What is the formula for slope?
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
4 -6 -9
X is the hours to repair the boat. $1603-532=anwser/63 = x
48. x=all real numbers is what type of an equation?
Identity
Inconsitent
F(x)=3 square root x
Zero slope
49. $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?
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Because the demintor of a quotient can never equal zero
50. How do you graph Ax+By+C=0?
X^2
Math 4 x - graph
Y=10
Set the x and y to zero and get the intercepts and then plot the points