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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. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Identity
X = the original sale price and the formula is x - .40x =$276
Horizontal right
Conditional
2. What is the formula for the standard cubic function?
Inconsitent
X=a
F(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1
3. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
The second set of components of an ordered pair
The slope of a line containing two points
(-infinity - +infinity)
4. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=+c and f(x)-c
Neither
Piecewise
1 -2 -3
5. What is the domain for a standard quadratic function?
The opposite coordinates
[0 -+infinity)
(-infinity - +infinity)
Even
6. Which direction does f(x)=+c move in standard absolute value formula?
Up
F(x^1)=f(x^2)
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
7. Is an identity function even - odd or neither?
Odd
2nd catalog (zero key -) abs(x) - graph
Y= then enter the number then press graph
The secant line
8. What type of line is an identity function?
Up
4 -6 -9
X^2
45 degree angle
9. What type of slope do vertical lines have?
Y=x^2 - graph
[0 -+infinity)
Undefined
F(x)=suare root of x
10. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
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
Square Root
11. 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)
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
X math 3 graph
12. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
F(x2)-f(x1) / x2-x1
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
Absolute Value - Constant and Standard Quadratic
13. What shape is the standard quadratic function?
F(x)=x^3
Same
Parabola
X^2
14. What is the range of a square root function?
[0 -+infinity)
Identity
Horizontal
F(x+c) and f(x-c)
15. x^2+y=4 is this a function? Why?
16. What is the formula for the square root function?
F(x)=suare root of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=IxI
In a quotient
17. Is the standard cubic function odd - even or neither?
F(x)=IxI
45 degree angle
Odd
Y=b
18. Draw or discuss a constant function
The opposite coordinates
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.
Cannot be drawn in quizlet
Down
19. What is another way of writing the absolute value function?
Parabola
Approach neg toward x through zero and above positive close to x
Piecewise
Y=IxI
20. What is the formula for an absolute value 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.
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
F(x)=IxI
Undefined
21. What is the standard quadratic function?
(-infinity - +infinity)
A line passing through two distinct points
Inconsitent
X^2
22. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
X math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
23. What is the domain for an absolute value function?
Function notation
20+.05x=5+.10x x=minutes
X math 3 graph
(-infinity - +infinity)
24. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Square Root
Y=10
F of g and g of f
25. How many domains can you have pointing to one range?
Undefined
[0 -+infinity)
As many as you like
(-infinity - +infinity)
26. What are the calculator instructions for a standard quadratic equation?
Postiive slope
Y=x^2 - graph
Conditional
Negative slope
27. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Perpendicular line
(-infinity - +infinity)
Y=IxI
X = the original sale price and the formula is x - .40x =$276
28. standard absolute value - horizontal shift formulas for left and right
F(x)=suare root of x
F(x+c) and f(x-c)
The minimum or maximum points
Mirror image neg quadrant to that of the positive quandrant
29. y^2+x=4 is this a function? Why?
30. What is the range of an identity function?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b
Parabola - up one and right three
31. What is the domain for an absolute value function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
Y=IxI
Identity
32. What can we substitute for f(x)?
F(x+c) and f(x-c)
Y
Negative slope
X2-x1 because the demonaitor of a quotient can never equal zero
33. 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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
In a quotient
A V
34. What is the range of the constant function?
A V
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph
The single number y=
35. How do you calculate a constant function in your calculator?
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Y= then enter the number then press graph
36. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Only one
Y=x^2 - graph
Piecewise
37. What is the formula for slope?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
0<c<1 - horizontal stretching
Y=10
Change in y / change in x = rise / run = y2-y1 / x2-x1
38. What is the range for the standard cubic function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
39. What type of slope do you have when the line is horizontal and m=0?
Odd
Zero slope
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
40. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Undefined slope
A V
41. What is the formula for an absolute value function?
F(x) = x
F(x)=IxI
0<c<1 - horizontal stretching
Equation of a line
42. What is the range of an identity function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
As many as you like
Three odd - cube root - identity - standard cubic
43. What is the standard quadratic function?
The secant line
Undefined
X^2
1 -2 -3
44. What is the range of a square root function?
A line passing through two distinct points
[0 -+infinity)
The slope of a line containing two points
Absolute Value - Constant and Standard Quadratic
45. What is the domain of a square root function?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]you[0 - +infinity)
X=a
[0 -+infinity)
46. What is a domain?
(-infinity - +infinity)
1 -2 -3
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
47. What is the formula for an identity function?
F(x2)-f(x1) / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=3 square root x
F(x) = x
48. What is the domain of a square root function?
C>1 - horizontal shrinking
[0 -+infinity)
Y=x^2 - graph
F(x) = x
49. What are the calculator instructions for a square root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
2nd key - x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
50. What is the vertex?
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.
The minimum or maximum points
Y=x^2 - graph
Even