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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 direction does f(x)-c move in standard absolute value formula?
Down
Inconsitent
The minimum or maximum points
Odd
2. What does the square root function look like on a graph?
(-infinity - +infinity)
Line ascending to the right gradually
45 degree angle
F of g and g of f
3. f(x) = x^2+3x+5 - what type of formula is this?
Conditional
Function notation
X = the original sale price and the formula is x - .40x =$276
The first set of components of an ordered pair
4. What is an identity function?
Horizontal left
(-infinity - +infinity)
45 degree angle
20+.05x=5+.10x x=minutes
5. standard absolute value - horizontal shift formulas for left and right
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
Mirror image neg quadrant to that of the positive quandrant
F(x+c) and f(x-c)
M
6. Is a standard quadratic function even - odd or neither?
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.
Horizontal
Only one
7. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
X=a
Set the x and y to zero and get the intercepts and then plot the points
8. What is the range for an absolute value function?
As many as you like
(-infinity - 0]you[0 - +infinity)
Horizontal
Up
9. What type of line is a constant function?
Horizontal left
Horizontal
Undefined
Neither
10. What are the calculator instructions for the cube root function?
Yes - all the domains points to one range
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Math 4 x - graph
11. x=no real numbers is what type of an equation?
Inconsitent
Inconsistant
Zero slope
Square Root
12. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
Even
Up
Down
13. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
M
4 -6 -9
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
14. What type of slope do horizontal lines have?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Same
X = the original sale price and the formula is x - .40x =$276
15. What is the formula for the standard cubic function?
2nd catalog (zero key -) abs(x) - graph
X math 3 graph
F(x)=x^3
Parraelle line
16. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Even
The minimum or maximum points
F(x+h)-f(x)/h h cannot equal zero
17. What is the range for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Equation of a line
2nd key - x^2 - graph
(-infinity - +infinity)
18. Of the seven of algebra's common graph's how many are odd?
F(x) = x
F(x)=IxI
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?
19. What is the formula for slope?
F(x)=x^3
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1
Equation of a line
20. Which direction does f(x)=+c move in standard absolute value formula?
A V
Up
(-infinity - +infinity)
The secant line
21. What is another way of writing the absolute value function?
Even
Undefined
Y=IxI
(-infinity - +infinity)
22. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Equation of a line
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
As many as you like
23. What type of function would you use to calculate the most advantageous cell phone plan?
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.
F(x+c) and f(x-c)
Piecewise
Y=10
24. What type of slope do you have when a line falls left to right and m<0?
X = the original sale price and the formula is x - .40x =$276
As equations
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
Negative slope
25. 4(x-7)=4x-28 is what type of an equation?
Identity
(-infinity - +infinity)
Y=IxI
Odd
26. What can we substitute for f(x)?
(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
Y
Even
27. What is the range of a square root function?
The first set of components of an ordered pair
Same
Undefined slope
[0 -+infinity)
28. How many domains can you have pointing to one range?
F of g and g of f
Line ascending to the right gradually
Y=b
As many as you like
29. What is the formula for to calculate the difference of a quotient function?
Zero slope
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant
A line passing through two distinct points
30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
[0 -+infinity)
4 -6 -9
Negative slope
Square Root
31. Which direction does f(x-c) move
Horizontal left
(-infinity - +infinity)
Horizontal right
Y=10
32. What is a function?
The second set of components of an ordered pair
F(x2)-f(x1) / x2-x1
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
33. What does the absolute value function look like?
A V
F(x)=IxI
M
Y=10
34. What is the horizontal line formula?
F(x)=x^3
Equation of a line
No because you cannot have one domain pointing at two y's or ranges
Y=b
35. Two vertical lines side by side are a symbol for what
The secant line
The slope of a line containing two points
X2-x1 because the demonaitor of a quotient can never equal zero
Parraelle line
36. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
Equation of a line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
37. What are the steps for solving a word problem?
Odd
A line passing through two distinct points
Undefined
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
38. 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
Horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet
39. Of the seven of algebra's common graph's how many are odd?
Y
(-infinity - +infinity)
Y=10
Three odd - cube root - identity - standard cubic
40. Draw or discuss a decreasing function
Horizontal
Inconsistant
Cannot be drawn in quizlet
Math 4 x - graph
41. y^2+x=4 is this a function? Why?
42. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
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.
Horizontal
Undefined slope
43. What is the domain of a square root function?
[0 -+infinity)
4 -6 -9
Identity
When does a graph not define y as a function of x?
44. What does the graph of the cube root function look like on the graph?
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
F(x)=x^3
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
45. What type of line is an identity function?
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
46. What type of slope do you have when m=? and the line is vertical?
Inconsistant
F(x)=+c and f(x)-c
Zero slope
Undefined slope
47. Of the seven of algebra's common graph's how many are even?
(-infinity - 0]you[0 - +infinity)
1 -2 -3
Absolute Value - Constant and Standard Quadratic
Yes because two x's or domains can point to one y
48. standard absolute value - vertical shift formulas for positve and negative
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c
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)
49. x= a real number is what type of equation?
Conditional
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.
Negative inverse
Negative slope
50. What is the formula for the square root function?
F(x)=suare root of x
Inconsitent
Any set of ordered pairs
F(x)=3 square root x