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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. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
C>1 - horizontal shrinking
2. What is the domain of an identity function?
No because you cannot have one domain pointing at two y's or ranges
Horizontal right
(-infinity - +infinity)
4 -6 -9
3. Is a standard quadratic function even - odd or neither?
As equations
Even
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
0<c<1 - horizontal stretching
4. What is the range for an absolute value function?
45 degree angle
2nd catalog (zero key -) abs(x) - graph
Postiive slope
(-infinity - 0]you[0 - +infinity)
5. What is the formula for an absolute value function?
F(x)=IxI
The secant line
(-infinity - +infinity)
C>1 - horizontal shrinking
6. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
Neither
Even
Horizontal right
7. What is a range?
The second set of components of an ordered pair
Neither
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
8. x=all real numbers is what type of an equation?
Even
1 -2 -3
Identity
Postiive slope
9. Is a constant function even - odd or neither?
M
F(x)=suare root of x
Even
Any set of ordered pairs
10. Is the square root function odd - even or neither?
Neither
(-infinity - +infinity)
F(x)=3 square root x
Math 4 x - graph
11. What is an identity function?
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x2)-f(x1) / x2-x1
45 degree angle
12. What is the horizontal line formula?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Y=x^2 - graph
Y=b
13. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Square Root
In a quotient
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
14. What type of line is an identity function?
Mirror image neg quadrant to that of the positive quandrant
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle
15. What is the domain of the cube root function?
(-infinity - 0]you[0 - +infinity)
No because you cannot have one domain pointing at two y's or ranges
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
(-infinity - +infinity)
16. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Mirror image neg quadrant to that of the positive quandrant
Yes - all the domains points to one range
Up
17. What is the range of a square root function?
Math 4 x - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=IxI
[0 -+infinity)
18. What can never equal zero in the slope formula and why?
Perpendicular line
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
19. What is a function?
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.
F(x+h)-f(x)/h h cannot equal zero
2nd key - x^2 - graph
20. What are the calculator instructions for a standard quadratic equation?
Line ascending to the right gradually
Cannot be drawn in quizlet
Y=x^2 - graph
(-infinity - +infinity)
21. f(x) = x^2+3x+5 - what type of formula is this?
Three odd - cube root - identity - standard cubic
Function notation
X^2
The minimum or maximum points
22. What is the formula for an identity function?
Function notation
F(x) = 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
23. What are the algebra of functions?
(-infinity - +infinity)
Function notation
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
24. What is the domain for a standard quadratic function?
The single number y=
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
F(x)=IxI
25. What is the range of the cube root 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)
(-infinity - +infinity)
Y=10
26. x=no real numbers is what type of an 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.
Even
(-infinity - +infinity)
Inconsistant
27. What is the domain of a square root function?
[0 -+infinity)
X=a
Conditional
Y=b
28. How would this formula move f(x)=(x+1)^2-3
F(x+h)-f(x)/h h cannot equal zero
Identity
Only one
Parabola - up one and right three
29. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Parraelle line
No because you cannot have one domain pointing at two y's or ranges
As many as you like
30. What are the calculator instructions for the standard cubic function?
F of g and g of f
X math 3 graph
[0 -+infinity)
F(x+c) and f(x-c)
31. What is a constant function?
F(x^1)=f(x^2)
2nd key - x^2 - graph
45 degree angle
(-infinity - +infinity)
32. What are the algebra of functions?
F(x)=x^3
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
Square Root
33. What are the calculator instructions for the cube root function?
1 -2 -3
Inconsistant
X=a
Math 4 x - graph
34. What is the formula for the cube root function?
Inconsitent
F(x+h)-f(x)/h h cannot equal zero
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
35. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Cannot be drawn in quizlet
Down
Change in y / change in x = rise / run = y2-y1 / x2-x1
36. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
(-infinity - +infinity)
As equations
The minimum or maximum points
37. What is the vertical line test?
Only one
No because you cannot have one domain pointing at two y's or ranges
Neither
When does a graph not define y as a function of x?
38. Two vertical lines side by side are a symbol for what
The secant line
Parraelle line
X is the hours to repair the boat. $1603-532=anwser/63 = x
In a quotient
39. What is a range?
A line passing through two distinct points
The single number y=
The second set of components of an ordered pair
(-infinity - +infinity)
40. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)
41. What does the square root function look like on a graph?
Line ascending to the right gradually
As equations
X = the original sale price and the formula is x - .40x =$276
Equation of a line
42. What is the formula for to calculate the difference of a quotient function?
Even
(-infinity - 0]you[0 - +infinity)
Piecewise
F(x+h)-f(x)/h h cannot equal zero
43. What is the range of an identity function?
(-infinity - +infinity)
A V
Math 4 x - graph
Y=x^2 - graph
44. What is a relation?
F(x)=x^3
Any set of ordered pairs
45 degree angle
In a quotient
45. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
2nd key - x^2 - graph
F(x)=+c and f(x)-c
Negative inverse
46. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
The second set of components of an ordered pair
47. What is another way of writing the absolute value function?
When does a graph not define y as a function of x?
Square Root
Y=IxI
Zero slope
48. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
20+.05x=5+.10x x=minutes
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
49. What is the slope intercept formula? Define all the variables.
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1
50. In an identity function if f(10)=x than What is y?
Cannot be drawn in quizlet
Y=10
X=a
Piecewise