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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. 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?
(-infinity - +infinity)
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
In a quotient
2. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
45 degree angle
Cannot be drawn in quizlet
3. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
[0 -+infinity)
Inconsistant
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4. Of the seven of algebra's common graph's how many are odd?
Horizontal left
F(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
Neither
5. Is an absolute value function even - odd or neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
6. What is a relation?
The single number y=
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
The secant line
7. Draw or discuss a constant 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
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal left
8. What does linear equation mean?
F(x) = x
Even
The opposite coordinates
Equation of a line
9. What is the formula for slope?
Square Root
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined
When does a graph not define y as a function of x?
10. 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
(-infinity - 0]you[0 - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parabola - up one and right three
11. What is the range for a standard quadratic function?
Down
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
12. What is the formula for slope?
Cannot be drawn in quizlet
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+c) and f(x-c)
13. What direction does f(x)-c move in standard absolute value formula?
Negative inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Down
Neither
14. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Conditional
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
Three odd - cube root - identity - standard cubic
15. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
F(x)=+c and f(x)-c
The single number y=
The slope of a line containing two points
16. What type of slope do you have when m=? and the line is vertical?
Parabola - up one and right three
In a quotient
Undefined slope
(-infinity - +infinity)
17. Is the standard cubic function odd - even or neither?
[0 -+infinity)
Odd
Cannot be drawn in quizlet
F(x)=suare root of x
18. Why can h not equal zero in the difference of a quotient function formula?
Postiive slope
20+.05x=5+.10x x=minutes
Odd
Because the demintor of a quotient can never equal zero
19. What is the formula for the standard cubic function?
Y=x - identity function
F(x)=x^3
Undefined slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
20. What is the slope of a perpendicular line?
Y
Perpendicular line
Piecewise
Negative inverse
21. x= a real number is what type of equation?
Conditional
Cannot be drawn in quizlet
Parraelle line
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
22. Draw or discuss a constant function
F of g and g of f
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1
23. What is the domain of the cube root function?
Parraelle line
F(x^1)=f(x^2)
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
24. What is the range of an identity function?
(-infinity - +infinity)
Undefined
X math 3 graph
F(x+c) and f(x-c)
25. What can never equal zero in the slope formula and why?
Math 4 x - graph
The opposite coordinates
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
26. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
As equations
F(x+h)-f(x)/h h cannot equal zero
Three odd - cube root - identity - standard cubic
27. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Identity
As equations
In a quotient
28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
F(x)=+c and f(x)-c
0<c<1 - horizontal stretching
4 -6 -9
29. What is the domain and range of a constant function?
F(x)=IxI
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Negative slope
30. How are functions normally written?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x - identity function
Neither
As equations
31. What are the four steps for finding the inverse of a function?
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x^2 - graph
32. Of the seven of algebra's common graph's how many are neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle
F(x)=x^3
Square Root
33. What is the domain of the cube root function?
Parraelle line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The slope of a line containing two points
(-infinity - +infinity)
34. What is a range?
The second set of components of an ordered pair
Y=x^2 - graph
Cannot be drawn in quizlet
Inconsistant
35. What is the vertical line formula?
Square Root
X=a
Y=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
36. What is a function?
F(x)=suare root of x
4 -6 -9
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Line ascending to the right gradually
45 degree angle
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
1 -2 -3
38. Is a standard quadratic function even - odd or neither?
(-infinity - 0]you[0 - +infinity)
F of g and g of f
Y= then enter the number then press graph
Even
39. What is the vertex?
Down
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
40. What shape is the standard quadratic function?
Conditional
Even
Parabola
Even
41. Is an identity function even - odd or neither?
Odd
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
2nd key - x^2 - graph
42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A V
The secant line
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
43. Of the seven of algebra's common graph's how many are even?
Up
Absolute Value - Constant and Standard Quadratic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The second set of components of an ordered pair
44. Draw or discuss a decreasing function
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
(-infinity - +infinity)
F(x)=3 square root x
45. 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.
Set the x and y to zero and get the intercepts and then plot the points
As many as you like
F(x2)-f(x1) / x2-x1
46. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Yes - all the domains points to one range
0<c<1 - horizontal stretching
Y
47. What is the formula for the square root function?
Same
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal
F(x)=suare root of x
48. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X = the original sale price and the formula is x - .40x =$276
Odd
F of g and g of f
The secant line
49. How many domains can you have pointing to one range?
X=a
In a quotient
As many as you like
Cannot be drawn in quizlet
50. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Parabola - up one and right three
Cannot be drawn in quizlet
[0 -+infinity)