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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 you have when a line falls left to right and m<0?
Negative slope
(-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
(-infinity - +infinity)
2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
45 degree angle
1 -2 -3
(-infinity - +infinity)
Horizontal
3. 4(x-7)=4x-28 is what type of an equation?
Parraelle line
Cannot be drawn in quizlet
(-infinity - +infinity)
Identity
4. Which direction does f(x-c) move
The slope of a line containing two points
Down
Horizontal right
Conditional
5. What is a range?
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes
Parabola
The secant line
6. What is the domain for the standard cubic function?
The minimum or maximum points
The secant line
Y
(-infinity - +infinity)
7. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
The slope of a line containing two points
Up
8. y^2+x=4 is this a function? Why?
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183
9. What are the calculator instructions for a standard quadratic equation?
A V
Y=x^2 - graph
Perpendicular line
(-infinity - +infinity)
10. How would this formula move f(x)=(x+1)^2-3
The opposite coordinates
Parabola - up one and right three
Even
Absolute Value - Constant and Standard Quadratic
11. What does linear equation mean?
Identity
Equation of a line
Zero slope
Y=x - identity function
12. Is the square root function odd - even or neither?
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
Neither
Inconsistant
13. What is the range of the constant function?
The second set of components of an ordered pair
The single number y=
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
14. What is the formula for slope?
X2-x1 because the demonaitor of a quotient can never equal zero
The first set of components of an ordered pair
The second set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
15. What is the domain of the cube root function?
4 -6 -9
Parabola - up one and right three
Even
(-infinity - +infinity)
16. Which direction does f(x+c) move
Inconsistant
Horizontal left
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
0<c<1 - horizontal stretching
17. What type of slope do you have when m=? and the line is vertical?
[0 -+infinity)
Parabola
When does a graph not define y as a function of x?
Undefined slope
18. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
F(x+h)-f(x)/h h cannot equal zero
Y=b
F(x^1)=f(x^2)
19. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
No because you cannot have one domain pointing at two y's or ranges
Down
Y=IxI
20. What type of slope do horizontal lines have?
In a quotient
Same
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative slope
21. In an identity function if f(10)=x than What is y?
No because you cannot have one domain pointing at two y's or ranges
Y=10
4 -6 -9
1 -2 -3
22. What type of slope do you have when a line falls left to right and m<0?
Negative slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise
Line ascending to the right gradually
23. What is slope?
A line passing through two distinct points
Cannot be drawn in quizlet
Y= then enter the number then press graph
(-infinity - +infinity)
24. What is the slope of a perpendicular line?
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=IxI
Negative inverse
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
25. Is a constant function even - odd or neither?
The first set of components of an ordered pair
20+.05x=5+.10x x=minutes
Perpendicular line
Even
26. Draw or discuss an increasing function
A V
Approach neg toward x through zero and above positive close to x
As equations
Cannot be drawn in quizlet
27. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
X^2
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Same
28. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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^2
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)=IxI
29. Is an absolute value function even - odd or neither?
Identity
F of g and g of f
Absolute Value - Constant and Standard Quadratic
Even
30. What is the formula for the square root function?
F(x)=suare root of x
Cannot be drawn in quizlet
F(x) = x
Postiive slope
31. Is a constant function even - odd or neither?
Even
0<c<1 - horizontal stretching
Conditional
Odd
32. What is the slope intercept formula? Define all the variables.
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Inconsitent
33. How are functions normally written?
As equations
Cannot be drawn in quizlet
The secant line
Change in y / change in x = rise / run = y2-y1 / x2-x1
34. What is the formula for an absolute value function?
Horizontal left
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x)=IxI
35. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
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)=3 square root x
Equation of a line
36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
The secant line
1 -2 -3
When does a graph not define y as a function of x?
37. How do you graph Ax+By+C=0?
Horizontal right
Horizontal left
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
Set the x and y to zero and get the intercepts and then plot the points
38. A flat line underlining one vertical line is a symbol for...
Parabola - up one and right three
Perpendicular line
X=a
4 -6 -9
39. 4x+5x=8x is what type of an equation?
Cannot be drawn in quizlet
Conditional
[0 -+infinity)
Odd
40. What is the horizontal line formula?
In a quotient
Y=b
X=a
The single number y=
41. What is the formula for slope?
Set the x and y to zero and get the intercepts and then plot the points
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y= then enter the number then press graph
42. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
(-infinity - +infinity)
Conditional
X^2
43. What is a range?
F(x) = x
The second set of components of an ordered pair
Identity
20+.05x=5+.10x x=minutes
44. What is the domain of the cube root function?
(-infinity - +infinity)
Cannot be drawn in quizlet
The opposite coordinates
Math 4 x - graph
45. y=f(cx) - What does this formula represent?
Y= then enter the number then press graph
C>1 - horizontal shrinking
As equations
In a quotient
46. What is another way of writing the absolute value function?
Negative slope
F(x)=+c and f(x)-c
Y=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
47. What are two examples of composit functions?
F of g and g of f
X math 3 graph
Only one
Even
48. What direction does f(x)-c move in standard absolute value formula?
Negative slope
45 degree angle
(-infinity - 0]you[0 - +infinity)
Down
49. What type of slope do you have when the line is horizontal and m=0?
Zero slope
(-infinity - +infinity)
The slope of a line containing two points
Identity
50. What can we substitute for f(x)?
Y
(-infinity - 0]you[0 - +infinity)
X math 3 graph
Cannot be drawn in quizlet