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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. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Same
Mirror image neg quadrant to that of the positive quandrant
Square Root
2. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=10
3. standard absolute value - horizontal shift formulas for left and right
The opposite coordinates
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
F(x+c) and f(x-c)
4. What type of slope do vertical lines have?
Inconsistant
(-infinity - +infinity)
Neither
Undefined
5. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Y=x^2 - graph
X = the original sale price and the formula is x - .40x =$276
As equations
When does a graph not define y as a function of x?
6. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph
F(x)=IxI
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.
7. What can we substitute for f(x)?
(-infinity - +infinity)
Y
Horizontal left
Parabola - up one and right three
8. What is the slope of a perpendicular line?
4 -6 -9
Parraelle line
Negative inverse
Conditional
9. What can never equal zero in the slope formula and why?
Absolute Value - Constant and Standard Quadratic
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
(-infinity - +infinity)
10. What is the range of an identity function?
Conditional
Inconsitent
(-infinity - +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
11. f(x) = x^2+3x+5 - what type of formula is this?
Parraelle line
Function notation
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
Identity
12. Draw or discuss an increasing function
In a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x
F of g and g of f
Cannot be drawn in quizlet
13. What type of line is an identity function?
Conditional
Set the x and y to zero and get the intercepts and then plot the points
Yes because two x's or domains can point to one y
45 degree angle
14. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant
The secant line
15. x= a real number is what type of equation?
Perpendicular line
Y=10
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Even
Square Root
Square Root
The secant line
17. What is the formula for the standard cubic function?
Math 4 x - graph
Square Root
F(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
18. What are the calculator instructions for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
Y
[0 -+infinity)
X math 3 graph
19. Why can h not equal zero in the difference of a quotient function formula?
Neither
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20. What is the domain for a standard quadratic function?
A line passing through two distinct points
(-infinity - +infinity)
Y= then enter the number then press graph
F(x)=x^3
21. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Horizontal left
F(x+h)-f(x)/h h cannot equal zero
Even
22. What is the vertical line formula?
C>1 - horizontal shrinking
X=a
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
(-infinity - +infinity)
23. Draw or discuss an increasing function
Cannot be drawn in quizlet
Even
The first set of components of an ordered pair
A V
24. What type of slope do you have when the line is horizontal and m=0?
Zero slope
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
When does a graph not define y as a function of x?
Because the demintor of a quotient can never equal zero
25. What is the range of the cube root function?
Zero slope
Negative inverse
1 -2 -3
(-infinity - +infinity)
26. What type of function would you use to calculate the most advantageous cell phone plan?
Only one
M
Piecewise
[0 -+infinity)
27. How many ranges can you have for each domain?
Piecewise
In a quotient
Only one
Absolute Value - Constant and Standard Quadratic
28. What does the square root function look like on a graph?
Horizontal right
Line ascending to the right gradually
(-infinity - +infinity)
M
29. What is the domain for an absolute value function?
The secant line
Equation of a line
Zero slope
(-infinity - +infinity)
30. What is a range?
The second set of components of an ordered pair
M
(-infinity - 0]you[0 - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
31. What does the standard cubic function look like on a graph?
Only one
The opposite coordinates
Equation of a line
Mirror image neg quadrant to that of the positive quandrant
32. What can we substitute for f(x)?
Y
A V
[0 -+infinity)
Any set of ordered pairs
33. What is an identity function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic
45 degree angle
The secant line
34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
[0 -+infinity)
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Inconsitent
35. Of the seven of algebra's common graph's how many are odd?
Horizontal right
Three odd - cube root - identity - standard cubic
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
36. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
The first set of components of an ordered pair
45 degree angle
As many as you like
37. What is slope?
A line passing through two distinct points
X=a
Square Root
(-infinity - 0]you[0 - +infinity)
38. What is another way of writing the absolute value function?
2nd catalog (zero key -) abs(x) - graph
Y=IxI
Math 4 x - graph
[0 -+infinity)
39. What is the formula for an identity function?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Equation of a line
F(x) = x
40. Draw or discuss a constant 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
1 -2 -3
X=a
41. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
2nd key - x^2 - graph
1 -2 -3
Neither
20+.05x=5+.10x x=minutes
42. 4(x-7)=4x-28 is what type of an equation?
Only one
Square Root
Identity
Down
43. y^2+x=4 is this a function? Why?
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44. What type of line is an identity function?
45 degree angle
2nd key - x^2 - graph
Postiive slope
Identity
45. x^2+y=4 is this a function? Why?
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46. What is the slope intercept formula? Define all the variables.
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal
Identity
47. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Inconsistant
Down
Cannot be drawn in quizlet
48. Is the standard cubic function odd - even or neither?
Y=x - identity function
Parraelle line
Odd
4 -6 -9
49. What does linear equation mean?
F(x)=suare root of x
Equation of a line
X2-x1 because the demonaitor of a quotient can never equal zero
Math 4 x - graph
50. What is the standard quadratic function?
X^2
Horizontal
Undefined slope
In a quotient