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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. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Yes - all the domains points to one range
Y=x - identity function
Absolute Value - Constant and Standard Quadratic
2. What is slope?
Horizontal right
Down
[0 -+infinity)
A line passing through two distinct points
3. What type of function would you use to calculate the most advantageous cell phone plan?
Y=10
A V
Perpendicular line
Piecewise
4. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Y=IxI
Undefined slope
5. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
6. What is the standard quadratic function?
45 degree angle
(-infinity - +infinity)
X^2
(-infinity - 0]you[0 - +infinity)
7. Draw or discuss an increasing function
Parabola
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
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
Cannot be drawn in quizlet
8. What direction does f(x)-c move in standard absolute value formula?
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
Down
Inconsitent
9. What type of slope do vertical lines have?
Even
Undefined
The first set of components of an ordered pair
F(x)=IxI
10. What is the average rate of change formula?
Cannot be drawn in quizlet
Conditional
45 degree angle
F(x2)-f(x1) / x2-x1
11. What is the range for a standard quadratic function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
X math 3 graph
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)
12. What equation does every line have? Discuss the variables.
Square Root
Even
2nd catalog (zero key -) abs(x) - graph
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.
13. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
[0 -+infinity)
4 -6 -9
As many as you like
F(x+c) and f(x-c)
14. What is the formula for the cube root function?
[0 -+infinity)
The slope of a line containing two points
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
F(x)=3 square root x
15. What is an identity function?
45 degree angle
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
Y=x - identity function
16. How are functions normally written?
As equations
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c
Postiive slope
17. What type of line is a constant function?
Negative slope
Horizontal
Only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
18. Is an absolute value function even - odd or neither?
Inconsistant
Even
The second set of components of an ordered pair
Horizontal
19. What points do you use to plot the inverse on a graph?
45 degree angle
F(x)=3 square root x
Zero slope
The opposite coordinates
20. What is a relation?
M
Any set of ordered pairs
Postiive slope
(-infinity - +infinity)
21. What is slope?
Perpendicular line
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= then enter the number then press graph
A line passing through two distinct points
22. x=no real numbers is what type of an equation?
1 -2 -3
Inconsistant
As many as you like
Identity
23. What is the standard quadratic function?
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations
Parraelle line
24. What are the calculator instructions for the cube root function?
Math 4 x - graph
In a quotient
45 degree angle
The slope of a line containing two points
25. What is the range of an identity function?
Y=x^2 - graph
Neither
(-infinity - +infinity)
X math 3 graph
26. What are the steps for solving a word problem?
Perpendicular line
(-infinity - +infinity)
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
Square Root
27. What are the calculator instructions for absolute value?
Even
Identity
Neither
2nd catalog (zero key -) abs(x) - graph
28. What is the domain of a square root function?
Y=x - identity function
Y= then enter the number then press graph
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
29. What type of slope do you have when a line falls left to right and m<0?
F(x)=+c and f(x)-c
Negative slope
Line ascending to the right gradually
A line passing through two distinct points
30. What is the range for an absolute value function?
Parabola - up one and right three
(-infinity - 0]you[0 - +infinity)
Zero slope
Identity
31. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Cannot be drawn in quizlet
Inconsistant
F(x2)-f(x1) / x2-x1
32. x=all real numbers is what type of an equation?
Postiive slope
Identity
Inconsistant
When does a graph not define y as a function of x?
33. y=f(cx) What does this formula represent?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Same
0<c<1 - horizontal stretching
34. What type of slope do vertical lines have?
Undefined
(-infinity - +infinity)
Horizontal left
(-infinity - +infinity)
35. What is a function?
4 -6 -9
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
36. What is a domain?
Square Root
The first set of components of an ordered pair
F(x+c) and f(x-c)
Even
37. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Perpendicular line
(f+g) - (f-g) - (fg) - (f/g) all of x
Parraelle line
38. What is the slope of a perpendicular line?
Negative inverse
Cannot be drawn in quizlet
Up
Up
39. What are the calculator instructions for a square root function?
Odd
Cannot be drawn in quizlet
Y=x - identity function
2nd key - x^2 - graph
40. What is the formula for an absolute value function?
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero
F(x)=IxI
Up
41. What is the horizontal line formula?
[0 -+infinity)
Three odd - cube root - identity - standard cubic
X=a
Y=b
42. What type of line is a constant function?
2nd catalog (zero key -) abs(x) - graph
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Horizontal
43. y=f(cx) - What does this formula represent?
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity
C>1 - horizontal shrinking
Conditional
44. What is the letter used to represent slope?
The minimum or maximum points
[0 -+infinity)
The second set of components of an ordered pair
M
45. What are the steps for solving a word problem?
(-infinity - 0]you[0 - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
F(x2)-f(x1) / x2-x1
46. x= a real number is what type of equation?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Conditional
Undefined
47. What type of line is a constant function?
(-infinity - +infinity)
Identity
Horizontal
Y=x - identity function
48. How many domains can you have pointing to one range?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Odd
Conditional
As many as you like
49. Two vertical lines side by side are a symbol for what
Parraelle line
A line passing through two distinct points
Identity
Y
50. Of the seven of algebra's common graph's how many are even?
Even
Absolute Value - Constant and Standard Quadratic
As many as you like
A line passing through two distinct points