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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 type of slope do horizontal lines have?
Inconsistant
Any set of ordered pairs
Same
Y=IxI
2. Of the seven of algebra's common graph's how many are even?
Cannot be drawn in quizlet
F(x)=suare root of x
Yes - all the domains points to one range
Absolute Value - Constant and Standard Quadratic
3. What is a relation?
Odd
Conditional
F(x) = x
Any set of ordered pairs
4. What is the range for an absolute value function?
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
Y=IxI
The minimum or maximum points
5. Is the square root function odd - even or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
2nd key - x^2 - graph
Line ascending to the right gradually
Neither
6. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Negative slope
X=a
7. Which direction does f(x)=+c move in standard absolute value formula?
Up
Inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x
8. What are two examples of composit functions?
[0 -+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
F of g and g of f
F(x+h)-f(x)/h h cannot equal zero
9. What type of slope do you have when a line falls left to right and m<0?
X^2
(-infinity - 0]you[0 - +infinity)
M
Negative slope
10. x=all real numbers is what type of an equation?
Identity
F(x^1)=f(x^2)
Odd
The first set of components of an ordered pair
11. What is the standard quadratic function?
Up
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X^2
12. What is a constant function?
F(x^1)=f(x^2)
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
Inconsitent
13. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Absolute Value - Constant and Standard Quadratic
X math 3 graph
Yes - all the domains points to one range
14. Draw or discuss a constant function
Inconsistant
Conditional
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
15. What is the formula for to calculate the difference of a quotient function?
Y= then enter the number then press graph
Conditional
Even
F(x+h)-f(x)/h h cannot equal zero
16. What is a relation?
Parabola
F(x^1)=f(x^2)
Y=x^2 - graph
Any set of ordered pairs
17. Draw or discuss a constant function
Undefined
Y=10
Any set of ordered pairs
Cannot be drawn in quizlet
18. What type of function would you use to calculate the most advantageous cell phone plan?
F(x) = x
Piecewise
Inconsistant
X2-x1 because the demonaitor of a quotient can never equal zero
19. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
F(x2)-f(x1) / x2-x1
F of g and g of f
(-infinity - +infinity)
20. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Math 4 x - graph
Y
21. Of the seven of algebra's common graph's how many are neither?
[0 -+infinity)
As equations
F(x) = x
Square Root
22. What is the formula for an identity 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
Up
Even
23. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
The slope of a line containing two points
Parabola
Even
20+.05x=5+.10x x=minutes
24. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
(-infinity - +infinity)
Inconsitent
Perpendicular line
25. What are the calculator instructions for a square root function?
Horizontal left
2nd key - x^2 - graph
As many as you like
(-infinity - +infinity)
26. What type of line is an identity function?
Even
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
F(x+h)-f(x)/h h cannot equal zero
27. Of the seven of algebra's common graph's how many are neither?
Square Root
As equations
Piecewise
F(x2)-f(x1) / x2-x1
28. How many ranges can you have for each domain?
Only one
Horizontal left
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.
Y=x - identity function
29. What are the steps for solving a word problem?
The first set of components of an ordered pair
F of g and g of f
Yes because two x's or domains can point to one 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
30. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
F(x+c) and f(x-c)
The minimum or maximum points
31. What is the formula for an absolute value function?
(-infinity - +infinity)
F(x)=IxI
Because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
32. What type of slope do vertical lines have?
Because the demintor of a quotient can never equal zero
F(x+c) and f(x-c)
Undefined
Zero slope
33. x=no real numbers is what type of an equation?
Inconsistant
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.
Line ascending to the right gradually
Yes because two x's or domains can point to one y
34. What is a range?
The second set of components of an ordered pair
Perpendicular line
Horizontal
F(x2)-f(x1) / x2-x1
35. x= a real number is what type of equation?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Conditional
Horizontal right
36. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The slope of a line containing two points
Odd
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
Down
37. x^2+y=4 is this a function? Why?
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38. What is the domain of an identity function?
Piecewise
(-infinity - +infinity)
Neither
Any set of ordered pairs
39. What type of slope do horizontal lines have?
Even
Horizontal left
Same
Even
40. What type of slope do you have when the line is horizontal and m=0?
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.
A line passing through two distinct points
F(x) = x
Zero slope
41. What is the horizontal line formula?
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
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=b
The first set of components of an ordered pair
42. How are functions normally written?
Piecewise
(-infinity - +infinity)
As equations
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
43. What does linear equation mean?
Neither
Undefined slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line
44. Which direction does f(x+c) move
Y=10
C>1 - horizontal shrinking
Horizontal left
In a quotient
45. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
46. What does the average rate of change formula solve?
Zero slope
The slope of a line containing two points
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
47. What can we substitute for f(x)?
Y
A line passing through two distinct points
Conditional
Equation of a line
48. What is another way of writing the absolute value function?
Y=IxI
Square Root
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
Any set of ordered pairs
49. What is the horizontal line formula?
Y=b
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
F(x+h)-f(x)/h h cannot equal zero
50. What is the slope intercept formula? Define all the variables.
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Postiive slope
Yes - all the domains points to one range