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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 odd?
Inconsitent
Neither
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?
2. What does the absolute value function look like?
A V
When does a graph not define y as a function of x?
Down
Identity
3. What is the slope of a perpendicular line?
F(x)=3 square root x
Negative inverse
Even
(-infinity - +infinity)
4. What are two examples of composit functions?
F of g and g of f
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
The slope of a line containing two points
5. What are the four steps for solving a linear equation?
Absolute Value - Constant and Standard Quadratic
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.
(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
6. What are the steps for solving a word problem?
Parraelle line
(-infinity - +infinity)
The secant line
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
7. x=all real numbers is what type of an equation?
Identity
The single number y=
Y=IxI
As many as you like
8. What is the domain of an identity function?
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
Math 4 x - graph
(-infinity - +infinity)
9. Is an absolute value function even - odd or neither?
Even
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x - identity function
10. y^2+x=4 is this a function? Why?
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11. In an identity function if f(10)=x than What is y?
F of g and g of f
Y=10
(-infinity - +infinity)
Yes - all the domains points to one range
12. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates
4 -6 -9
0<c<1 - horizontal stretching
13. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
Negative slope
Set the x and y to zero and get the intercepts and then plot the points
A V
14. What is the formula for slope?
As many as you like
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Set the x and y to zero and get the intercepts and then plot the points
15. What is slope?
When does a graph not define y as a function of x?
A line passing through two distinct points
(-infinity - +infinity)
Parabola - up one and right three
16. What can we substitute for f(x)?
Absolute Value - Constant and Standard Quadratic
Undefined
The minimum or maximum points
Y
17. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
(-infinity - +infinity)
18. What are the calculator instructions for a square root function?
Parabola - up one and right three
(-infinity - +infinity)
2nd key - x^2 - graph
Yes because two x's or domains can point to one y
19. x= a real number is what type of equation?
Conditional
Mirror image neg quadrant to that of the positive quandrant
X math 3 graph
As equations
20. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Parabola
Yes because two x's or domains can point to one y
Perpendicular line
21. What type of line is an identity function?
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 degree angle
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
22. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Conditional
The secant line
Piecewise
Up
23. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
Parraelle line
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
24. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
(-infinity - +infinity)
Piecewise
The first set of components of an ordered pair
25. What is a domain?
(-infinity - +infinity)
The first set of components of an ordered pair
[0 -+infinity)
C>1 - horizontal shrinking
26. What type of line is a constant function?
Y
Identity
Horizontal
(-infinity - 0]you[0 - +infinity)
27. What are the calculator instructions for the cube root function?
Math 4 x - graph
(-infinity - +infinity)
F(x+c) and f(x-c)
(-infinity - +infinity)
28. x^2+y=4 is this a function? Why?
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on line
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29. What are the calculator instructions for a square root function?
Function notation
2nd key - x^2 - graph
Perpendicular line
In a quotient
30. What is the letter used to represent slope?
M
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
31. What type of line is an identity function?
Up
Cannot be drawn in quizlet
45 degree angle
Math 4 x - graph
32. What is a range?
The second set of components of an ordered pair
Negative inverse
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
Yes - all the domains points to one range
33. What is the domain and range of a constant function?
X=a
F(x)=IxI
(-infinity - +infinity)
45 degree angle
34. What is the slope of a perpendicular line?
F(x+c) and f(x-c)
F(x^1)=f(x^2)
Any set of ordered pairs
Negative inverse
35. What is another way to write f(x)=x - what type of function is this?
X math 3 graph
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
Down
36. Of the seven of algebra's common graph's how many are odd?
X = the original sale price and the formula is x - .40x =$276
Parabola - up one and right three
Three odd - cube root - identity - standard cubic
Because the demintor of a quotient can never equal zero
37. y=f(cx) - What does this formula represent?
Undefined
C>1 - horizontal shrinking
A V
Approach neg toward x through zero and above positive close to x
38. What are the calculator instructions for absolute value?
F of g and g of f
2nd catalog (zero key -) abs(x) - graph
Horizontal
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.
39. What is a relation?
Any set of ordered pairs
Math 4 x - graph
Yes - all the domains points to one range
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.
40. What is the domain for an absolute value function?
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.
X = the original sale price and the formula is x - .40x =$276
Parabola
(-infinity - +infinity)
41. What is the domain of a square root function?
Yes because two x's or domains can point to one y
Inconsistant
[0 -+infinity)
M
42. Is an identity function even - odd or neither?
Same
Yes because two x's or domains can point to one y
Odd
Set the x and y to zero and get the intercepts and then plot the points
43. What is the range of the cube root function?
As equations
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x)=x^3
44. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Horizontal
C>1 - horizontal shrinking
Horizontal left
45. What shape is the standard quadratic function?
Negative inverse
Parabola
Negative inverse
(-infinity - +infinity)
46. Of the seven of algebra's common graph's how many are neither?
Even
Square Root
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes
47. What is the domain of a square root function?
Parabola - up one and right three
(-infinity - +infinity)
Y=10
[0 -+infinity)
48. What does the average rate of change formula solve?
4 -6 -9
Cannot be drawn in quizlet
Cannot be drawn in quizlet
The slope of a line containing two points
49. Draw or discuss a constant function
Cannot be drawn in quizlet
The slope of a line containing two points
Parraelle line
Any set of ordered pairs
50. What is the formula in both horizontal stretching and horizontal shrinking?
Equation of a line
C>1 - horizontal shrinking
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet