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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 line is a constant function?
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity
Horizontal
2. What type of function would you use to calculate the most advantageous cell phone plan?
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)
Piecewise
Only one
3. Is a constant function even - odd or neither?
M
Even
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
4. What is the formula for slope?
As equations
20+.05x=5+.10x x=minutes
(-infinity - 0]you[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
5. What is a relation?
X2-x1 because the demonaitor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276
Any set of ordered pairs
As many as you like
6. What does the standard cubic function look like on a graph?
Y=x^2 - graph
Because the demintor of a quotient can never equal zero
Y=b
Mirror image neg quadrant to that of the positive quandrant
7. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(-infinity - +infinity)
X^2
Inconsitent
20+.05x=5+.10x x=minutes
8. y=f(cx) What does this formula represent?
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
When does a graph not define y as a function of x?
0<c<1 - horizontal stretching
F(x)=IxI
9. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet
The secant line
10. What type of slope do you have when m=? and the line is vertical?
A V
Equation of a line
F(x2)-f(x1) / x2-x1
Undefined slope
11. What type of line is a constant function?
Horizontal
As many as you like
Odd
Yes because two x's or domains can point to one y
12. What direction does f(x)-c move in standard absolute value formula?
Same
Down
F(x+c) and f(x-c)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
13. What is a domain?
Negative slope
Y=x - identity function
The first set of components of an ordered pair
Yes because two x's or domains can point to one y
14. Which direction does f(x+c) move
Conditional
Horizontal left
Parraelle line
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
15. What are the steps for solving a word problem?
Y= then enter the number then press graph
Identity
F(x+c) and f(x-c)
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
16. Is a standard quadratic function even - odd or neither?
Undefined slope
Even
Because the demintor of a quotient can never equal zero
The opposite coordinates
17. What are the four steps for solving a linear equation?
The first set of components of an ordered pair
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 V
Odd
18. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
45 degree angle
Y= then enter the number then press graph
1 -2 -3
When does a graph not define y as a function of x?
19. x=no real numbers is what type of an equation?
F(x)=suare root of x
Inconsistant
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
20. 4x+5x=8x is what type of an equation?
F(x)=x^3
Y=x^2 - graph
Absolute Value - Constant and Standard Quadratic
Conditional
21. Two vertical lines side by side are a symbol for what
Square Root
Negative slope
Parraelle line
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
22. What is the domain of a square root function?
(-infinity - +infinity)
As many as you like
[0 -+infinity)
F(x+c) and f(x-c)
23. Of the seven of algebra's common graph's how many are odd?
The opposite coordinates
Horizontal right
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
24. Is the standard cubic function odd - even or neither?
F(x^1)=f(x^2)
F(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points
Odd
25. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Same
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
26. What shape is the standard quadratic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
[0 -+infinity)
27. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y=10
Horizontal left
F(x)=3 square root x
28. What is the formula for an absolute value function?
X^2
F(x2)-f(x1) / x2-x1
F(x)=IxI
Y=x - identity function
29. What is a domain?
Function notation
(-infinity - +infinity)
The first set of components of an ordered pair
4 -6 -9
30. 4(x-7)=4x+28 is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points
X math 3 graph
Inconsitent
31. What does linear equation mean?
Equation of a line
F(x+c) and f(x-c)
F(x)=x^3
X math 3 graph
32. In an identity function if f(10)=x than What is y?
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=10
33. y^2+x=4 is this a function? Why?
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183
34. What is the horizontal line formula?
Y=b
45 degree angle
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
35. Is a standard quadratic function even - odd or neither?
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
Parabola
Parabola - up one and right three
Even
36. How do you calculate a constant function in your calculator?
Neither
Y= then enter the number then press graph
Even
F(x) = x
37. What is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes
X^2
F(x)=3 square root x
38. What is the range of a square root function?
Equation of a line
[0 -+infinity)
Neither
4 -6 -9
39. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Inconsistant
Equation of a line
20+.05x=5+.10x x=minutes
Y
40. What is the formula for to calculate the difference of a quotient function?
The slope of a line containing two points
F(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
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
41. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(-infinity - +infinity)
Math 4 x - graph
20+.05x=5+.10x x=minutes
42. What is the domain for a standard quadratic function?
A V
Function notation
Horizontal left
(-infinity - +infinity)
43. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - +infinity)
F of g and g of f
(-infinity - +infinity)
44. What is the range of an identity function?
As equations
X=a
1 -2 -3
(-infinity - +infinity)
45. What are the calculator instructions for the cube root function?
Math 4 x - graph
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
As equations
46. What is the domain of the cube root function?
Conditional
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Three odd - cube root - identity - standard cubic
47. What are the calculator instructions for absolute value?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
When does a graph not define y as a function of x?
2nd catalog (zero key -) abs(x) - graph
48. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
2nd key - x^2 - graph
Undefined
[0 -+infinity)
49. What is the slope of a perpendicular line?
Negative inverse
In a quotient
Undefined
Negative slope
50. x= a real number is what type of equation?
F(x)=x^3
Even
Conditional
F(x)=suare root of x