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