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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 is the slope of a perpendicular line?
Horizontal left
F(x2)-f(x1) / x2-x1
F(x)=suare root of x
Negative inverse
2. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Even
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
3. What type of slope do you have when m=? and the line is vertical?
X^2
F(x) = x
Y=x - identity function
Undefined slope
4. Is an absolute value function even - odd or neither?
Conditional
Line ascending to the right gradually
Y= then enter the number then press graph
Even
5. What is a domain?
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.
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.
[0 -+infinity)
6. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Inconsistant
X = the original sale price and the formula is x - .40x =$276
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative slope
7. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Identity
Perpendicular line
45 degree angle
8. What is the formula for to calculate the difference of a quotient function?
Horizontal left
Postiive slope
F(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph
9. What is the formula for an absolute value function?
(-infinity - 0]you[0 - +infinity)
F(x)=IxI
The second set of components of an ordered pair
X=a
10. Is the standard cubic function odd - even or neither?
Odd
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.
Yes - all the domains points to one range
Math 4 x - graph
11. How many ranges can you have for each domain?
Only one
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
12. What is the average rate of change formula?
X^2
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+c) and f(x-c)
F(x2)-f(x1) / x2-x1
13. What is the formula for an identity function?
F(x^1)=f(x^2)
The first set of components of an ordered pair
M
F(x) = x
14. 4(x-7)=4x+28 is what type of an equation?
The opposite coordinates
Inconsitent
F of g and g of f
The minimum or maximum points
15. What type of line is a constant function?
Postiive slope
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
Y=x^2 - graph
16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
The minimum or maximum points
Horizontal
Undefined
17. What type of line is an identity function?
Horizontal left
Inconsistant
Approach neg toward x through zero and above positive close to x
45 degree angle
18. x=all real numbers is what type of an equation?
Identity
Parabola
As many as you like
Only one
19. Of the seven of algebra's common graph's how many are neither?
Square Root
Horizontal right
M
Perpendicular line
20. What is the domain of the cube root function?
M
(-infinity - +infinity)
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x
21. What is the standard quadratic function?
[0 -+infinity)
X^2
A V
Yes - all the domains points to one range
22. What is the formula in both horizontal stretching and horizontal shrinking?
M
Odd
A line passing through two distinct points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
23. What type of line is a constant function?
Y=IxI
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal
24. What are the calculator instructions for the cube root function?
Y=x - identity function
Math 4 x - graph
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.
Line ascending to the right gradually
25. What points do you use to plot the inverse on a graph?
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X=a
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
26. What does linear equation mean?
(-infinity - +infinity)
(-infinity - +infinity)
The single number y=
Equation of a line
27. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Horizontal left
Inconsitent
Function notation
28. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Only one
Undefined
(-infinity - +infinity)
29. What is the formula for the cube root function?
2nd catalog (zero key -) abs(x) - graph
Y
[0 -+infinity)
F(x)=3 square root x
30. x^2+y=4 is this a function? Why?
31. 4(x-7)=4x-28 is what type of an equation?
Horizontal right
C>1 - horizontal shrinking
Identity
Inconsitent
32. Which direction does f(x+c) move
Horizontal
Horizontal left
2nd catalog (zero key -) abs(x) - graph
1 -2 -3
33. 4(x-7)=4x-28 is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
Cannot be drawn in quizlet
Parraelle line
34. What is the range of the constant function?
Conditional
The single number y=
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
35. What type of slope do you have when m=? and the line is vertical?
Undefined slope
F(x+c) and f(x-c)
F(x)=suare root of x
2nd key - x^2 - graph
36. What is a relation?
Horizontal
The slope of a line containing two points
Any set of ordered pairs
F(x)=3 square root x
37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F(x)=3 square root x
The secant line
Y=x - identity function
38. What is the formula for the square root function?
Three odd - cube root - identity - standard cubic
Yes - all the domains points to one range
Any set of ordered pairs
F(x)=suare root of x
39. What is a relation?
Any set of ordered pairs
Postiive slope
Negative inverse
F(x)=suare root of x
40. What is the range of an identity function?
45 degree angle
Inconsistant
(-infinity - +infinity)
Parraelle line
41. What are the steps for solving a word problem?
The single number y=
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)
[0 -+infinity)
42. What is the domain of an identity function?
As many as you like
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.
(-infinity - +infinity)
Inconsistant
43. Is the square root function odd - even or neither?
Neither
(-infinity - +infinity)
Only one
No because you cannot have one domain pointing at two y's or ranges
44. What are the four steps for solving a linear equation?
Three odd - cube root - identity - standard cubic
[0 -+infinity)
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.
X^2
45. What is the slope intercept formula? Define all the variables.
Postiive slope
The first set of components of an ordered pair
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
46. What is the range for a standard quadratic function?
F(x^1)=f(x^2)
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1
47. Draw or discuss an increasing function
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Cannot be drawn in quizlet
The second set of components of an ordered pair
48. What is the vertex?
20+.05x=5+.10x x=minutes
The minimum or maximum points
Line ascending to the right gradually
Function notation
49. What type of slope do horizontal lines have?
Same
Y=10
Parraelle line
Y=IxI
50. What type of slope do you have when a line falls left to right and m<0?
F(x)=3 square root x
F(x2)-f(x1) / x2-x1
Y=b
Negative slope