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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 formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd catalog (zero key -) abs(x) - graph
F(x)=suare root of x
The second set of components of an ordered pair
2. Of the seven of algebra's common graph's how many are even?
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic
X math 3 graph
45 degree angle
3. What is a domain?
The first set of components of an ordered pair
Piecewise
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero
4. What does the square root function look like on a graph?
Line ascending to the right gradually
Because the demintor of a quotient can never equal zero
Neither
Inconsitent
5. f(x) = x^2+3x+5 - what type of formula is this?
1 -2 -3
Function notation
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)
6. 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
Odd
45 degree angle
7. When is the only time (-infinity - +infinity) is not the domain?
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)=x^3
45 degree angle
In a quotient
8. Is an identity function even - odd or neither?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Odd
F of g and g of f
9. What direction does f(x)-c move in standard absolute value formula?
1 -2 -3
Down
(-infinity - +infinity)
Parabola - up one and right three
10. What is the range for a standard quadratic function?
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Up
11. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Equation of a line
Perpendicular line
Odd
12. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
F(x) = x
Identity
X math 3 graph
13. Is the square root function odd - even or neither?
Any set of ordered pairs
Parabola - up one and right three
Neither
X math 3 graph
14. What is the vertex?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points
[0 -+infinity)
The minimum or maximum points
15. What type of slope do horizontal lines have?
F(x)=suare root of x
In a quotient
Same
Y= then enter the number then press graph
16. What type of line is a constant function?
Horizontal
F(x^1)=f(x^2)
Down
F(x) = x
17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Cannot be drawn in quizlet
The secant line
Perpendicular line
Line ascending to the right gradually
18. What is the domain for the standard cubic function?
45 degree angle
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
19. What does the graph of the cube root function look like on the graph?
F(x+c) and f(x-c)
Parabola - up one and right three
Inconsistant
Approach neg toward x through zero and above positive close to x
20. What is the formula for an identity function?
Cannot be drawn in quizlet
F(x) = x
X=a
X math 3 graph
21. What is an identity function?
Any set of ordered pairs
Y=b
45 degree angle
Parraelle line
22. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Cannot be drawn in quizlet
As equations
Horizontal right
Yes - all the domains points to one range
23. What is the domain of the cube root function?
Y= then enter the number then press graph
Undefined slope
X math 3 graph
(-infinity - +infinity)
24. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
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)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
25. x=all real numbers is what type of an equation?
Identity
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal right
Inconsitent
26. What type of slope do horizontal lines have?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Y
Same
27. standard absolute value - horizontal shift formulas for left and right
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even
F(x+c) and f(x-c)
(-infinity - +infinity)
28. What is the domain of the cube root function?
45 degree angle
Even
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
29. 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 because two x's or domains can point to one y
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
Any set of ordered pairs
30. What is the average rate of change formula?
Negative inverse
F(x2)-f(x1) / x2-x1
45 degree angle
Even
31. What is the point slope formula and when do you use it?
X2-x1 because the demonaitor of a quotient can never equal zero
Because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
32. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
A V
Horizontal right
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
33. What are the four steps for solving a linear equation?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Even
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.
34. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x) = x
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
Identity
35. What does the square root function look like on a graph?
Line ascending to the right gradually
Because the demintor of a quotient can never equal zero
F of g and g of f
Mirror image neg quadrant to that of the positive quandrant
36. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
F(x)=3 square root x
Y=x - identity function
Horizontal right
37. What is the formula for the cube root function?
The secant line
F(x)=3 square root x
Y=x - identity function
Parraelle line
38. Is the standard cubic function odd - even or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd
39. Two vertical lines side by side are a symbol for what
Y=IxI
Equation of a line
Horizontal
Parraelle line
40. What are two examples of composit functions?
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
Conditional
Conditional
F of g and g of f
41. What is the domain and range of a constant function?
Three odd - cube root - identity - standard cubic
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.
(-infinity - +infinity)
[0 -+infinity)
42. What is another way of writing the absolute value function?
Even
Inconsitent
Zero slope
Y=IxI
43. How do you calculate a constant function in your calculator?
Inconsitent
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal
44. Draw or discuss an increasing function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
Only one
Parabola
45. Which direction does f(x)=+c move in standard absolute value formula?
Up
A V
F(x2)-f(x1) / x2-x1
Any set of ordered pairs
46. What type of function would you use to calculate the most advantageous cell phone plan?
The opposite coordinates
Identity
Piecewise
F(x+c) and f(x-c)
47. y^2+x=4 is this a function? Why?
48. What are two examples of composit functions?
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
2nd key - x^2 - graph
F of g and g of f
49. What does the absolute value function look like?
0<c<1 - horizontal stretching
A V
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
50. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
4 -6 -9
Horizontal
Inconsitent