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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 is slope?
A line passing through two distinct points
Horizontal left
F(x+h)-f(x)/h h cannot equal zero
Conditional
2. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Horizontal right
Odd
Mirror image neg quadrant to that of the positive quandrant
3. What are the calculator instructions for the cube root 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
Even
Math 4 x - graph
4. How would this formula move f(x)=(x+1)^2-3
F(x)=3 square root x
Parabola - up one and right three
F(x)=x^3
20+.05x=5+.10x x=minutes
5. What is a relation?
(-infinity - 0]you[0 - +infinity)
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.
Any set of ordered pairs
Because the demintor of a quotient can never equal zero
6. What is the formula for the standard cubic function?
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The secant line
F(x)=x^3
7. What are the calculator instructions for the cube root function?
Math 4 x - graph
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
8. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
F of g and g of f
Conditional
Horizontal
9. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
Undefined
[0 -+infinity)
10. Is an absolute value function even - odd or neither?
Even
Down
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=b
11. What is the formula for an identity function?
X=a
F(x) = x
Horizontal right
When does a graph not define y as a function of x?
12. What type of line is an identity function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Only one
F(x) = x
45 degree angle
13. What direction does f(x)-c move in standard absolute value formula?
Down
Undefined
Inconsistant
(-infinity - +infinity)
14. What type of slope do you have when a line rises from left to right and m>0?
As equations
Cannot be drawn in quizlet
Odd
Postiive slope
15. Is a constant function even - odd or neither?
Horizontal
Even
F of g and g of f
Cannot be drawn in quizlet
16. What is the range for a standard quadratic function?
Cannot be drawn in quizlet
1 -2 -3
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
(-infinity - 0]you[0 - +infinity)
17. What is the range of an identity function?
F(x^1)=f(x^2)
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
0<c<1 - horizontal stretching
18. What type of slope do you have when the line is horizontal and m=0?
4 -6 -9
Zero slope
F(x+c) and f(x-c)
Because the demintor of a quotient can never equal zero
19. What are the calculator instructions for absolute value?
Negative slope
In a quotient
Horizontal right
2nd catalog (zero key -) abs(x) - graph
20. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Cannot be drawn in quizlet
Parraelle line
A line passing through two distinct points
21. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Horizontal
2nd catalog (zero key -) abs(x) - graph
Even
22. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - +infinity)
A line passing through two distinct points
The second set of components of an ordered pair
23. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Line ascending to the right gradually
Odd
Set the x and y to zero and get the intercepts and then plot the points
24. What is the slope of a perpendicular line?
Negative inverse
Identity
Yes - all the domains points to one range
X = the original sale price and the formula is x - .40x =$276
25. What equation does every line have? Discuss the variables.
4 -6 -9
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.
Y=x - identity function
F(x)=x^3
26. Two vertical lines side by side are a symbol for what
X math 3 graph
(-infinity - +infinity)
Negative inverse
Parraelle line
27. What direction does f(x)-c move in standard absolute value formula?
A V
The opposite coordinates
Down
Identity
28. What type of slope do you have when m=? and the line is vertical?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined slope
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
29. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=3 square root x
Change in y / change in x = rise / run = y2-y1 / x2-x1
30. 4(x-7)=4x+28 is what type of an equation?
F(x)=IxI
2nd key - x^2 - graph
Because the demintor of a quotient can never equal zero
Inconsitent
31. What are the algebra of functions?
Y
Undefined slope
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
32. What is the range of the cube root function?
Only one
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Equation of a line
33. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Approach neg toward x through zero and above positive close to x
No because you cannot have one domain pointing at two y's or ranges
Approach neg toward x through zero and above positive close to x
34. Why can h not equal zero in the difference of a quotient function formula?
Even
Y= then enter the number then press graph
No because you cannot have one domain pointing at two y's or ranges
Because the demintor of a quotient can never equal zero
35. What type of slope do horizontal lines have?
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.
Same
2nd key - x^2 - graph
The slope of a line containing two points
36. What is the formula for the cube root function?
Conditional
F(x)=3 square root x
Postiive slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
37. In an identity function if f(10)=x than What is y?
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
Horizontal
(-infinity - +infinity)
Y=10
38. What is slope?
As equations
A line passing through two distinct points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
39. What is the formula for an absolute value function?
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)
F(x)=IxI
F(x)=+c and f(x)-c
40. y^2+x=4 is this a function? Why?
41. What is the horizontal line formula?
Approach neg toward x through zero and above positive close to x
Horizontal
Y=b
Mirror image neg quadrant to that of the positive quandrant
42. What type of line is a constant function?
X math 3 graph
Horizontal
The secant line
X = the original sale price and the formula is x - .40x =$276
43. Is an identity function even - odd or neither?
Neither
4 -6 -9
Odd
A line passing through two distinct points
44. What is the domain and range of a constant function?
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=
(-infinity - +infinity)
Yes because two x's or domains can point to one y
45. What points do you use to plot the inverse on a graph?
The opposite coordinates
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x+h)-f(x)/h h cannot equal zero
Y=b
46. What is the range for the standard cubic function?
Yes - all the domains points to one range
F(x)=suare root of x
Identity
(-infinity - +infinity)
47. What is the domain for the standard cubic function?
(-infinity - +infinity)
C>1 - horizontal shrinking
X^2
Absolute Value - Constant and Standard Quadratic
48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
[0 -+infinity)
0<c<1 - horizontal stretching
Inconsistant
49. What type of slope do you have when m=? and the line is vertical?
Inconsitent
Y=b
When does a graph not define y as a function of x?
Undefined slope
50. How do you graph Ax+By+C=0?
Parabola - up one and right three
Set the x and y to zero and get the intercepts and then plot the points
Horizontal left
Y=IxI