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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. Is the square root function odd - even or neither?
(-infinity - +infinity)
Horizontal
Parraelle line
Neither
2. y=f(cx) What does this formula represent?
F(x)=IxI
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1
Even
3. What does the square root function look like on a graph?
Negative slope
Horizontal right
Line ascending to the right gradually
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
4. Is a constant function even - odd or neither?
Down
Even
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.
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.
5. Draw or discuss a constant function
Absolute Value - Constant and Standard Quadratic
Horizontal right
Perpendicular line
Cannot be drawn in quizlet
6. 4(x-7)=4x-28 is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsistant
F(x)=3 square root x
Identity
7. 4(x-7)=4x-28 is what type of an equation?
The minimum or maximum points
Parraelle line
Approach neg toward x through zero and above positive close to x
Identity
8. standard absolute value - vertical shift formulas for positve and negative
Square Root
Odd
M
F(x)=+c and f(x)-c
9. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X^2
Square Root
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points
10. What is the letter used to represent slope?
M
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
F(x)=IxI
11. x=no real numbers is what type of an equation?
Y=10
Even
Inconsistant
F(x)=+c and f(x)-c
12. What is the domain of an identity function?
In a quotient
The secant line
(-infinity - +infinity)
Square Root
13. What type of slope do horizontal lines have?
Parabola
(-infinity - 0]you[0 - +infinity)
Square Root
Same
14. Of the seven of algebra's common graph's how many are neither?
Square Root
Y=10
Down
(f+g) - (f-g) - (fg) - (f/g) all of x
15. Which direction does f(x+c) move
(-infinity - 0]you[0 - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
No because you cannot have one domain pointing at two y's or ranges
Horizontal left
16. What type of line is a constant function?
Inconsitent
20+.05x=5+.10x x=minutes
Horizontal
Conditional
17. x=all real numbers is what type of an equation?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Identity
Horizontal
18. Which direction does f(x)=+c move in standard absolute value formula?
Up
Y=x - identity function
(-infinity - +infinity)
X^2
19. What are the calculator instructions for a square root function?
Yes because two x's or domains can point to one y
Horizontal
2nd catalog (zero key -) abs(x) - graph
2nd key - x^2 - graph
20. How many domains can you have pointing to one range?
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.
As many as you like
The opposite coordinates
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
21. Is an identity function even - odd or neither?
M
45 degree angle
Odd
Because the demintor of a quotient can never equal zero
22. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
20+.05x=5+.10x x=minutes
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
Up
(-infinity - +infinity)
23. Which direction does f(x-c) move
As many as you like
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
Horizontal right
24. standard absolute value - horizontal shift formulas for left and right
4 -6 -9
Y=10
Undefined
F(x+c) and f(x-c)
25. What is the range of an identity function?
(-infinity - +infinity)
Math 4 x - graph
As many as you like
The first set of components of an ordered pair
26. What is the formula for slope?
Down
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal left
27. Is an absolute value function even - odd or neither?
Y=x^2 - graph
Perpendicular line
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.
Even
28. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A V
As equations
Odd
29. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually
Postiive slope
Conditional
30. What is the formula for an absolute value function?
Parabola - up one and right three
[0 -+infinity)
Same
F(x)=IxI
31. How are functions normally written?
A line passing through two distinct points
When does a graph not define y as a function of x?
F(x)=x^3
As equations
32. What is the domain for the standard cubic 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
M
(-infinity - +infinity)
The opposite coordinates
33. x= a real number is what type of equation?
(-infinity - +infinity)
Conditional
Cannot be drawn in quizlet
(-infinity - +infinity)
34. What does the absolute value function look like?
Square Root
A V
Y=IxI
Y=x - identity function
35. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
(-infinity - +infinity)
F(x^1)=f(x^2)
36. How are functions normally written?
As equations
Y=b
Equation of a line
X2-x1 because the demonaitor of a quotient can never equal zero
37. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Change in y / change in x = rise / run = y2-y1 / x2-x1
38. A flat line underlining one vertical line is a symbol for...
F(x)=IxI
As many as you like
As many as you like
Perpendicular line
39. Draw or discuss an increasing function
Parabola - up one and right three
Cannot be drawn in quizlet
Horizontal
2nd catalog (zero key -) abs(x) - graph
40. How many domains can you have pointing to one range?
As many as you like
F(x2)-f(x1) / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The second set of components of an ordered pair
41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
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.
Horizontal
4 -6 -9
Yes - all the domains points to one range
42. What is slope?
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.
A line passing through two distinct points
Any set of ordered pairs
Up
43. x^2+y=4 is this a function? Why?
44. y=f(cx) What does this formula represent?
Piecewise
C>1 - horizontal shrinking
0<c<1 - horizontal stretching
C>1 - horizontal shrinking
45. What is the line called that illustrates the straight line between the two points when showing average rate of change?
1 -2 -3
The opposite coordinates
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The secant line
46. What is the range for a standard quadratic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x^1)=f(x^2)
Neither
(-infinity - 0]you[0 - +infinity)
47. What is the vertical line formula?
X=a
0<c<1 - horizontal stretching
X is the hours to repair the boat. $1603-532=anwser/63 = x
X is the hours to repair the boat. $1603-532=anwser/63 = x
48. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
(-infinity - +infinity)
0<c<1 - horizontal stretching
49. How do you calculate a constant function in your calculator?
The second set of components of an ordered pair
Y= then enter the number then press graph
The secant line
Square Root
50. What is the range of an identity function?
The first set of components of an ordered pair
Perpendicular line
(-infinity - +infinity)
X=a