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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 points do you use to plot the inverse on a graph?
The opposite coordinates
The slope of a line containing two points
F(x) = x
In a quotient
2. What is the formula for slope?
2nd catalog (zero key -) abs(x) - graph
Only one
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
3. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Parabola
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
4. What is the vertex?
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 minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
5. What is the vertex?
The minimum or maximum points
Perpendicular line
Conditional
Inconsitent
6. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
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
Undefined
7. What is the horizontal line formula?
F(x) = x
Yes - all the domains points to one range
Y=b
Conditional
8. What is the domain 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
[0 -+infinity)
Yes - all the domains points to one range
(-infinity - +infinity)
9. How would this formula move f(x)=(x+1)^2-3
The slope of a line containing two points
Parabola - up one and right three
The secant line
(-infinity - 0]you[0 - +infinity)
10. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse
11. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x)=x^3
Inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
4 -6 -9
12. What are the calculator instructions for the cube root function?
Undefined slope
Math 4 x - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x) = x
13. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Undefined slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Because the demintor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276
14. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Any set of ordered pairs
No because you cannot have one domain pointing at two y's or ranges
No because you cannot have one domain pointing at two y's or ranges
15. What is slope?
A line passing through two distinct points
Yes because two x's or domains can point to one y
45 degree angle
Cannot be drawn in quizlet
16. 4(x-7)=4x+28 is what type of an equation?
Y=IxI
Inconsitent
Y=b
(-infinity - +infinity)
17. What is the domain for an absolute value function?
Three odd - cube root - identity - standard cubic
Any set of ordered pairs
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)
18. What is the range for a standard quadratic function?
F(x^1)=f(x^2)
45 degree angle
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)
19. Of the seven of algebra's common graph's how many are even?
Parabola - up one and right three
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
20. What type of line is a constant function?
Yes because two x's or domains can point to one y
Inconsistant
Horizontal
(-infinity - +infinity)
21. What is slope?
A line passing through two distinct points
Horizontal right
Y=10
Equation of a line
22. What can we substitute for f(x)?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Three odd - cube root - identity - standard cubic
The minimum or maximum points
Y
23. What can never equal zero in the slope formula and why?
The second set of components of an ordered pair
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
24. When is the only time (-infinity - +infinity) is not the domain?
X2-x1 because the demonaitor of a quotient can never equal zero
The second set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
In a quotient
25. What is an identity function?
45 degree angle
Y=10
No because you cannot have one domain pointing at two y's or ranges
Even
26. What type of line is a constant function?
Cannot be drawn in quizlet
Y=10
X^2
Horizontal
27. What is the vertical line formula?
Yes - all the domains points to one range
Horizontal
X=a
(-infinity - +infinity)
28. 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?
Neither
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
The single number y=
X is the hours to repair the boat. $1603-532=anwser/63 = x
29. What is the formula for an identity function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
F(x) = x
The slope of a line containing two points
30. What does linear equation mean?
Y= then enter the number then press graph
Horizontal left
The opposite coordinates
Equation of a line
31. What are the four steps for finding the inverse of a function?
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)=x^3
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
Equation of a line
32. What is the domain of a square root function?
[0 -+infinity)
Equation of a line
In a quotient
F(x)=3 square root x
33. What does the graph of the cube root function look like on the graph?
Cannot be drawn in quizlet
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.
Approach neg toward x through zero and above positive close to x
As equations
34. What is the formula for the square root function?
F(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points
Identity
Equation of a line
35. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x2)-f(x1) / x2-x1
4 -6 -9
Zero slope
36. Is a standard quadratic function even - odd or neither?
M
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even
37. What is a range?
F(x)=suare root of x
The second set of components of an ordered pair
F(x)=3 square root x
Yes - all the domains points to one range
38. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Up
X = the original sale price and the formula is x - .40x =$276
F(x) = x
39. x=no real numbers is what type of an equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
Inconsistant
(-infinity - 0]you[0 - +infinity)
40. What is the range of an identity function?
(-infinity - +infinity)
The single number y=
Y=x^2 - graph
Odd
41. What is the horizontal line formula?
Y=b
Negative slope
No because you cannot have one domain pointing at two y's or ranges
Conditional
42. What is the formula for the square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=suare root of x
Function notation
Y=x^2 - graph
43. What is a constant function?
Square Root
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x^1)=f(x^2)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
44. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y
Horizontal
Yes - all the domains points to one range
45. How do you graph Ax+By+C=0?
Perpendicular line
Up
Horizontal
Set the x and y to zero and get the intercepts and then plot the points
46. How many domains can you have pointing to one range?
As many as you like
Line ascending to the right gradually
2nd key - x^2 - graph
Cannot be drawn in quizlet
47. What are two examples of composit functions?
The first set of components of an ordered pair
A line passing through two distinct points
F of g and g of f
The opposite coordinates
48. What is the range for an absolute value function?
Same
(-infinity - +infinity)
F(x) = x
(-infinity - 0]you[0 - +infinity)
49. x=no real numbers is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
X^2
Identity
Inconsistant
50. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left
The opposite coordinates