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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. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Conditional
[0 -+infinity)
Negative slope
2. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Conditional
Y=x^2 - graph
F(x^1)=f(x^2)
3. What is a function?
20+.05x=5+.10x x=minutes
X^2
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs
4. What does the absolute value function look like?
Approach neg toward x through zero and above positive close to x
A V
Odd
Horizontal
5. What are the calculator instructions for the standard cubic function?
When does a graph not define y as a function of x?
X is the hours to repair the boat. $1603-532=anwser/63 = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X math 3 graph
6. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Down
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
Piecewise
Conditional
7. What is the domain of the cube root function?
(-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
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
8. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Up
Function notation
Parraelle line
9. What type of slope do you have when the line is horizontal and m=0?
Zero slope
X = the original sale price and the formula is x - .40x =$276
The opposite coordinates
Down
10. What does the average rate of change formula solve?
X is the hours to repair the boat. $1603-532=anwser/63 = x
[0 -+infinity)
The slope of a line containing two points
Y=x - identity function
11. What does the average rate of change formula solve?
[0 -+infinity)
The slope of a line containing two points
Only one
Y=IxI
12. What is the formula for an absolute value function?
F(x)=IxI
0<c<1 - horizontal stretching
Y=10
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
13. Two vertical lines side by side are a symbol for what
Any set of ordered pairs
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parraelle line
X=a
14. Is the square root function odd - even or neither?
Neither
Y=x^2 - graph
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1
15. What equation does every line have? Discuss the variables.
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
The minimum or maximum points
Mirror image neg quadrant to that of the positive quandrant
16. What type of line is a constant function?
Horizontal
The minimum or maximum points
X^2
M
17. What does the absolute value function look like?
A V
The slope of a line containing two points
C>1 - horizontal shrinking
Neither
18. What is another way of writing the absolute value function?
[0 -+infinity)
Y=IxI
F(x^1)=f(x^2)
Neither
19. Draw or discuss a decreasing function
Cannot be drawn in quizlet
C>1 - horizontal shrinking
The opposite coordinates
X is the hours to repair the boat. $1603-532=anwser/63 = x
20. x=all real numbers is what type of an equation?
2nd key - x^2 - graph
Identity
Odd
Same
21. x= a real number is what type of equation?
F(x) = x
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
Conditional
22. What is the standard quadratic function?
Undefined
Parabola - up one and right three
As many as you like
X^2
23. What are the calculator instructions for a standard quadratic equation?
Same
Horizontal left
Y=x^2 - graph
Up
24. What is the point slope formula and when do you use it?
Odd
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Identity
25. Draw or discuss a constant function
Conditional
Even
Cannot be drawn in quizlet
Inconsistant
26. What type of line is a constant function?
The opposite coordinates
Absolute Value - Constant and Standard Quadratic
Horizontal
Inconsistant
27. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Horizontal
Square Root
20+.05x=5+.10x x=minutes
28. What is the formula for the standard cubic 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.
F(x)=x^3
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
29. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
When does a graph not define y as a function of x?
Y
Undefined
X = the original sale price and the formula is x - .40x =$276
30. Is a standard quadratic function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Math 4 x - graph
Y=x - identity function
Even
31. What is the vertex?
Function notation
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
32. What is the vertical line test?
When does a graph not define y as a function of x?
Function notation
As many as you like
(-infinity - 0]you[0 - +infinity)
33. What is the vertical line formula?
45 degree angle
X=a
Horizontal right
45 degree angle
34. 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
In a quotient
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
Square Root
35. What is the slope of a perpendicular line?
(-infinity - 0]you[0 - +infinity)
A V
Negative inverse
Postiive slope
36. How do you graph Ax+By+C=0?
Identity
Perpendicular line
Y
Set the x and y to zero and get the intercepts and then plot the points
37. What is slope?
Yes - all the domains points to one range
Y=10
Absolute Value - Constant and Standard Quadratic
A line passing through two distinct points
38. What are the calculator instructions for the cube root function?
In a quotient
Math 4 x - graph
Parraelle line
The single number y=
39. Is an absolute value function even - odd or neither?
Even
(-infinity - +infinity)
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
40. What direction does f(x)-c move in standard absolute value formula?
Down
Conditional
Identity
The secant line
41. What is the formula for an identity function?
Horizontal
1 -2 -3
F(x) = x
[0 -+infinity)
42. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Any set of ordered pairs
Postiive slope
Even
43. 4x+5x=8x is what type of an equation?
Conditional
4 -6 -9
M
The minimum or maximum points
44. What type of slope do you have when the line is horizontal and m=0?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=b
Zero slope
[0 -+infinity)
45. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal
Equation of a line
Cannot be drawn in quizlet
46. Draw or discuss a constant function
F(x)=suare root of x
2nd key - x^2 - graph
The first set of components of an ordered pair
Cannot be drawn in quizlet
47. What type of line is an identity function?
The single number y=
Y=10
Y=b
45 degree angle
48. How are functions normally written?
4 -6 -9
Y=10
As equations
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
49. What type of slope do you have when a line rises from left to right and m>0?
Set the x and y to zero and get the intercepts and then plot the points
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
Postiive slope
F(x2)-f(x1) / x2-x1
50. What are the calculator instructions for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X math 3 graph
The single number y=
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly