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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
Equation of a line
20+.05x=5+.10x x=minutes
A line passing through two distinct points
2. x=all real numbers is what type of an equation?
Cannot be drawn in quizlet
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
Identity
Negative slope
3. What is the domain of an identity function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
0<c<1 - horizontal stretching
F(x) = x
4. What is the formula for slope?
Up
Change in y / change in x = rise / run = y2-y1 / x2-x1
Perpendicular line
The opposite coordinates
5. What is the domain for the standard cubic function?
Postiive slope
(-infinity - +infinity)
The second set of components of an ordered pair
The minimum or maximum points
6. What is the vertex?
2nd key - x^2 - graph
As equations
The minimum or maximum points
Conditional
7. What is the range of the constant function?
F(x)=+c and f(x)-c
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The single number y=
[0 -+infinity)
8. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Horizontal
F(x)=suare root of x
Zero slope
9. What does the absolute value function look like?
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
A V
Even
Horizontal right
10. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
Identity
As equations
X is the hours to repair the boat. $1603-532=anwser/63 = x
11. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Conditional
Y=b
Y=b
12. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x^1)=f(x^2)
A V
Even
13. How do you graph Ax+By+C=0?
A line passing through two distinct points
When does a graph not define y as a function of x?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
14. Is the standard cubic function odd - even or neither?
Perpendicular line
[0 -+infinity)
45 degree angle
Odd
15. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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
Cannot be drawn in quizlet
1 -2 -3
Up
16. 4(x-7)=4x+28 is what type of an equation?
Conditional
Y= then enter the number then press graph
Any set of ordered pairs
Inconsitent
17. What is the range of the cube root function?
(-infinity - +infinity)
C>1 - horizontal shrinking
Odd
Y=10
18. Of the seven of algebra's common graph's how many are neither?
Square Root
Zero slope
(-infinity - +infinity)
Same
19. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
C>1 - horizontal shrinking
The minimum or maximum points
Function notation
20. What is the domain of a square root function?
Cannot be drawn in quizlet
Undefined slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
21. What is the horizontal line formula?
Y=b
The secant line
Same
Inconsitent
22. What are two examples of composit functions?
F of g and g of f
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
(-infinity - +infinity)
23. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Function notation
Cannot be drawn in quizlet
45 degree angle
24. What are the four steps for solving a linear equation?
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.
Only one
The first set of components of an ordered pair
A V
25. What does the standard cubic function look like on a graph?
Horizontal
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)
Three odd - cube root - identity - standard cubic
26. How are functions normally written?
F of g and g of f
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.
As equations
Inconsistant
27. What is a range?
F of g and g of f
Even
2nd key - x^2 - graph
The second set of components of an ordered pair
28. What is the formula for the square root function?
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.
Undefined
F(x)=suare root of x
Identity
29. Draw or discuss a constant function
F(x)=3 square root x
Piecewise
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
30. y^2+x=4 is this a function? Why?
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183
31. What is a relation?
Any set of ordered pairs
Y= then enter the number then press graph
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
32. What type of slope do you have when the line is horizontal and m=0?
Math 4 x - graph
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
Zero slope
A V
33. y=f(cx) What does this formula represent?
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Yes - all the domains points to one range
Inconsitent
34. What is the formula for an absolute value function?
A V
Horizontal
F(x^1)=f(x^2)
F(x)=IxI
35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Yes - all the domains points to one range
36. Is a constant function even - odd or neither?
Y=x^2 - graph
Identity
Even
The minimum or maximum points
37. What does the square root function look like on a graph?
Inconsitent
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.
Line ascending to the right gradually
Any set of ordered pairs
38. standard absolute value - vertical shift formulas for positve and negative
Parabola - up one and right three
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=+c and f(x)-c
The secant line
39. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Approach neg toward x through zero and above positive close to x
Same
Zero slope
40. What is the slope of a perpendicular line?
Line ascending to the right gradually
Negative inverse
F(x) = x
Approach neg toward x through zero and above positive close to x
41. What type of slope do vertical lines have?
Function notation
The single number y=
Undefined
(-infinity - +infinity)
42. What is the formula for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
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
Cannot be drawn in quizlet
43. What is the horizontal line formula?
Y=b
Conditional
(-infinity - +infinity)
Identity
44. Is an identity function even - odd or neither?
The opposite coordinates
The minimum or maximum points
Odd
2nd catalog (zero key -) abs(x) - graph
45. x=no real numbers is what type of an equation?
Inconsistant
M
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)
46. What does linear equation mean?
(-infinity - +infinity)
As equations
Y=x^2 - graph
Equation of a line
47. What is the vertical line formula?
0<c<1 - horizontal stretching
X=a
Perpendicular line
Yes because two x's or domains can point to one y
48. What are the calculator instructions for a square root function?
F(x)=x^3
2nd key - x^2 - graph
Because the demintor of a quotient can never equal zero
The secant line
49. What is slope?
A line passing through two distinct points
Perpendicular line
Postiive slope
X=a
50. What is the range for the standard cubic function?
2nd catalog (zero key -) abs(x) - graph
Y=10
Y=IxI
(-infinity - +infinity)