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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. Is an absolute value function even - odd or neither?
The minimum or maximum points
Even
F(x) = x
A line passing through two distinct points
2. What is the domain of a square root function?
Odd
Only one
[0 -+infinity)
Only one
3. What is the domain for an absolute value function?
X math 3 graph
F(x)=suare root of x
(-infinity - +infinity)
M
4. A flat line underlining one vertical line is a symbol for...
Inconsitent
Because the demintor of a quotient can never equal zero
F(x)=IxI
Perpendicular line
5. What are the four steps for finding the inverse of a function?
The secant line
The slope of a line containing two points
Horizontal left
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 vertical line formula?
45 degree angle
Postiive slope
Conditional
X=a
7. What type of slope do you have when the line is horizontal and m=0?
Zero slope
A line passing through two distinct points
0<c<1 - horizontal stretching
Conditional
8. What are the four steps for solving a linear equation?
Y= then enter the number then press graph
When does a graph not define y as a function of x?
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 secant line
9. y^2+x=4 is this a function? Why?
10. Is the square root function odd - even or neither?
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
Approach neg toward x through zero and above positive close to x
Neither
11. What is the vertex?
The secant line
The minimum or maximum points
Negative slope
Conditional
12. What is the range for the standard cubic function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
F(x+c) and f(x-c)
45 degree angle
13. What type of slope do you have when the line is horizontal and m=0?
Piecewise
Zero slope
As many as you like
Y=IxI
14. What are the calculator instructions for a standard quadratic equation?
Parabola
F(x)=+c and f(x)-c
Y=x^2 - graph
Odd
15. What is a constant function?
F(x^1)=f(x^2)
F(x)=x^3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x+c) and f(x-c)
16. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Even
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
Negative inverse
(-infinity - 0]you[0 - +infinity)
17. Draw or discuss a constant function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsitent
Up
Cannot be drawn in quizlet
18. What type of line is a constant function?
Y
X math 3 graph
Odd
Horizontal
19. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+c) and f(x-c)
Equation of a line
20. When is the only time (-infinity - +infinity) is not the domain?
Horizontal
In a quotient
1 -2 -3
F(x2)-f(x1) / x2-x1
21. 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?
(-infinity - 0]you[0 - +infinity)
Inconsitent
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x
22. Which direction does f(x)=+c move in standard absolute value formula?
X math 3 graph
Up
Horizontal
X^2
23. Of the seven of algebra's common graph's how many are odd?
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic
Up
When does a graph not define y as a function of x?
24. Two vertical lines side by side are a symbol for what
A line passing through two distinct points
Parraelle line
Y=x^2 - graph
(-infinity - +infinity)
25. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Yes - all the domains points to one range
Same
Inconsitent
26. What is the formula for the standard cubic function?
Negative inverse
F(x)=x^3
Equation of a line
45 degree angle
27. How many domains can you have pointing to one range?
Zero slope
Up
Undefined
As many as you like
28. How would this formula move f(x)=(x+1)^2-3
Because the demintor of a quotient can never equal zero
The minimum or maximum points
Horizontal right
Parabola - up one and right three
29. What are the calculator instructions for the cube root function?
A line passing through two distinct points
Even
Horizontal
Math 4 x - graph
30. y^2+x=4 is this a function? Why?
31. x=all real numbers is what type of an equation?
Odd
X math 3 graph
Horizontal left
Identity
32. What is the standard quadratic function?
X2-x1 because the demonaitor of a quotient can never equal zero
Undefined
Y=10
X^2
33. What is the formula for the cube root function?
A V
Even
Even
F(x)=3 square root x
34. What does the square root function look like on a graph?
(-infinity - +infinity)
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=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Line ascending to the right gradually
35. What are the calculator instructions for the cube root function?
Y=10
Inconsistant
Undefined
Math 4 x - graph
36. What is the standard quadratic function?
Horizontal
F(x)=+c and f(x)-c
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
37. Is a constant function even - odd or neither?
As many as you like
Even
F(x)=suare root of x
Y=10
38. What is the formula for an absolute value function?
F(x)=IxI
Parraelle line
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
39. What points do you use to plot the inverse on a graph?
The opposite coordinates
F(x)=suare root of x
Perpendicular line
Function notation
40. In an identity function if f(10)=x than What is y?
F(x)=x^3
Y=10
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
2nd key - x^2 - graph
41. Is an identity function even - odd or neither?
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.
Zero slope
Parabola - up one and right three
Odd
42. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Same
Inconsitent
X2-x1 because the demonaitor of a quotient can never equal zero
43. What is a relation?
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs
Even
Because the demintor of a quotient can never equal zero
44. What is the range of the cube root function?
Cannot be drawn in quizlet
Negative slope
Identity
(-infinity - +infinity)
45. Is the standard cubic function odd - even or neither?
4 -6 -9
X^2
C>1 - horizontal shrinking
Odd
46. In an identity function if f(10)=x than What is y?
As equations
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=10
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
47. What is the point slope formula and when do you use it?
X = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=IxI
48. Of the seven of algebra's common graph's how many are even?
(f+g) - (f-g) - (fg) - (f/g) all of x
Absolute Value - Constant and Standard Quadratic
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
49. What is a domain?
Y=b
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b
The first set of components of an ordered pair
50. What is the formula for slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.