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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 shape is the standard quadratic function?
Conditional
The minimum or maximum points
Parabola
Parabola - up one and right three
2. What are the calculator instructions for the cube root function?
F(x+c) and f(x-c)
45 degree angle
Zero slope
Math 4 x - graph
3. What is the vertical line test?
Because the demintor of a quotient can never equal zero
[0 -+infinity)
Postiive slope
When does a graph not define y as a function of x?
4. What is the range of the constant function?
Horizontal
The single number y=
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.
Y=x^2 - graph
5. What does the absolute value function look like?
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
A V
(-infinity - +infinity)
6. What are the calculator instructions for a standard quadratic equation?
Inconsitent
Y=x^2 - graph
(-infinity - +infinity)
(-infinity - +infinity)
7. What is a constant function?
Undefined
F(x)=+c and f(x)-c
F(x^1)=f(x^2)
(-infinity - +infinity)
8. What is the line called that illustrates the straight line between the two points when showing average rate of change?
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
Negative inverse
9. What can we substitute for f(x)?
Cannot be drawn in quizlet
Y
The opposite coordinates
Only one
10. What is the slope intercept formula? Define all the variables.
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
11. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Odd
Y= then enter the number then press graph
X math 3 graph
12. What is another way to write f(x)=x - what type of function is this?
Conditional
Inconsistant
Horizontal
Y=x - identity function
13. Is an absolute value function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Horizontal left
Even
14. What does linear equation mean?
(-infinity - +infinity)
45 degree angle
The single number y=
Equation of a line
15. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Yes because two x's or domains can point to one y
F(x) = x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
16. What is the domain and range of a constant function?
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
17. What are the four steps for finding the inverse of a function?
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
18. What is the vertical line formula?
X=a
(-infinity - 0]you[0 - +infinity)
Y=b
Y
19. What is the standard quadratic function?
Horizontal left
A line passing through two distinct points
F(x)=+c and f(x)-c
X^2
20. What can never equal zero in the slope formula and why?
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 of g and g of f
Y=IxI
X2-x1 because the demonaitor of a quotient can never equal zero
21. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Parabola - up one and right three
F of g and g of f
(-infinity - +infinity)
22. What does the standard cubic function look like on a graph?
0<c<1 - horizontal stretching
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
Undefined slope
23. What is the domain and range of a constant function?
Even
A V
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
24. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
(-infinity - +infinity)
Zero slope
Undefined
25. What type of slope do horizontal lines have?
Y
Same
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
26. Is a constant function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
Even
(-infinity - +infinity)
27. What does the average rate of change formula solve?
The slope of a line containing two points
A line passing through two distinct points
The second set of components of an ordered pair
Square Root
28. What are the four steps for solving a linear equation?
(-infinity - +infinity)
X math 3 graph
The minimum or maximum 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.
29. What equation does every line have? Discuss the variables.
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsistant
Y=10
30. Of the seven of algebra's common graph's how many are even?
Y=x^2 - graph
Absolute Value - Constant and Standard Quadratic
Mirror image neg quadrant to that of the positive quandrant
Down
31. What type of slope do you have when the line is horizontal and m=0?
Inconsistant
The second set of components of an ordered pair
Zero slope
The second set of components of an ordered pair
32. y=f(cx) What does this formula represent?
X = the original sale price and the formula is x - .40x =$276
0<c<1 - horizontal stretching
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
33. What is the formula for the cube root function?
X = the original sale price and the formula is x - .40x =$276
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.
Even
34. A flat line underlining one vertical line is a symbol for...
45 degree angle
(-infinity - +infinity)
Cannot be drawn in quizlet
Perpendicular line
35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Perpendicular line
X^2
36. standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
Perpendicular line
(-infinity - +infinity)
F(x+c) and f(x-c)
37. What is the formula for slope?
F(x)=x^3
Zero slope
The slope of a line containing two points
Change in y / change in x = rise / run = y2-y1 / x2-x1
38. What is a function?
Yes because two x's or domains can point to one y
Square Root
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x
39. What shape is the standard quadratic function?
Y=b
Negative inverse
Y= then enter the number then press graph
Parabola
40. Is the square root function odd - even or neither?
Math 4 x - graph
In a quotient
Mirror image neg quadrant to that of the positive quandrant
Neither
41. Two vertical lines side by side are a symbol for what
Parraelle line
Parabola - up one and right three
Cannot be drawn in quizlet
Square Root
42. What is the domain for the standard cubic function?
(-infinity - +infinity)
Y=x^2 - graph
Negative slope
Y
43. What is the point slope formula and when do you use it?
Parabola
20+.05x=5+.10x x=minutes
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
44. f(x) = x^2+3x+5 - what type of formula is this?
The opposite coordinates
Inconsitent
Function notation
Horizontal
45. Which direction does f(x-c) move
Only one
(-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
Horizontal right
46. What type of slope do you have when a line rises from left to right and m>0?
F(x^1)=f(x^2)
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
Postiive slope
47. Draw or discuss a constant function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=+c and f(x)-c
Cannot be drawn in quizlet
(-infinity - +infinity)
48. x^2+y=4 is this a function? Why?
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49. What is the formula for slope?
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
Math 4 x - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
50. What is the formula for to calculate the difference of a quotient function?
Y=x - identity function
Negative inverse
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet