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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 the range for the standard cubic function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Perpendicular line
2. Two vertical lines side by side are a symbol for what
Parraelle line
Even
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
Horizontal
3. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Horizontal left
F(x+h)-f(x)/h h cannot equal zero
X2-x1 because the demonaitor of a quotient can never equal zero
4. What is the domain for an absolute value function?
The first set of components of an ordered pair
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
5. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
F of g and g of f
Down
45 degree angle
6. What is the domain of an identity function?
(-infinity - 0]you[0 - +infinity)
Y
F(x)=x^3
(-infinity - +infinity)
7. What is the range for the standard cubic function?
Identity
(-infinity - +infinity)
Y=b
Three odd - cube root - identity - standard cubic
8. Draw or discuss a constant function
Odd
Mirror image neg quadrant to that of the positive quandrant
Inconsistant
Cannot be drawn in quizlet
9. What is the slope of a perpendicular line?
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.
Negative inverse
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges
10. What does the average rate of change formula solve?
[0 -+infinity)
Function notation
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points
11. Of the seven of algebra's common graph's how many are odd?
[0 -+infinity)
Math 4 x - graph
Three odd - cube root - identity - standard cubic
The second set of components of an ordered pair
12. What type of line is a constant function?
Cannot be drawn in quizlet
F(x)=IxI
Horizontal
Math 4 x - graph
13. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Perpendicular line
X = the original sale price and the formula is x - .40x =$276
Horizontal
The minimum or maximum points
14. What is the vertical line test?
X=a
A V
When does a graph not define y as a function of x?
F(x)=suare root of x
15. 4(x-7)=4x-28 is what type of an equation?
Identity
F(x)=IxI
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
16. x=all real numbers is what type of an equation?
Even
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Identity
17. What is the vertical line test?
Because the demintor of a quotient can never equal zero
A line passing through two distinct points
When does a graph not define y as a function of x?
(-infinity - +infinity)
18. Is an absolute value function even - odd or neither?
1 -2 -3
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
19. What can we substitute for f(x)?
(-infinity - +infinity)
Y
(-infinity - +infinity)
F(x+c) and f(x-c)
20. What are the calculator instructions for absolute value?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
The second set of components of an ordered pair
21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
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. What type of slope do vertical lines have?
Line ascending to the right gradually
Even
Undefined
(-infinity - +infinity)
23. Two vertical lines side by side are a symbol for what
Y
Cannot be drawn in quizlet
Postiive slope
Parraelle line
24. What is a domain?
Yes - all the domains points to one range
Y=IxI
Conditional
The first set of components of an ordered pair
25. What does the average rate of change formula solve?
0<c<1 - horizontal stretching
The slope of a line containing two points
X math 3 graph
M
26. Of the seven of algebra's common graph's how many are neither?
Square Root
Horizontal left
Math 4 x - graph
The slope of a line containing two points
27. What type of slope do you have when a line rises from left to right and m>0?
Three odd - cube root - identity - standard cubic
Postiive slope
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.
The slope of a line containing two points
28. What does the standard cubic function look like on a graph?
Perpendicular line
Mirror image neg quadrant to that of the positive quandrant
Same
Undefined
29. How do you calculate a constant function in your calculator?
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
Y= then enter the number then press graph
Parraelle line
The opposite coordinates
30. What can never equal zero in the slope formula and why?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
X2-x1 because the demonaitor of a quotient can never equal zero
Math 4 x - graph
31. What is another way of writing the absolute value function?
The minimum or maximum points
Y=IxI
F(x)=IxI
Parabola - up one and right three
32. What is another way of writing the absolute value function?
Y=IxI
Y=10
F(x+h)-f(x)/h h cannot equal zero
Undefined
33. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - +infinity)
Undefined slope
Parraelle line
34. What is the formula for an absolute value function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Undefined slope
F(x)=IxI
35. 4(x-7)=4x-28 is what type of an equation?
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Undefined slope
X = the original sale price and the formula is x - .40x =$276
36. What is the formula for an identity function?
F(x)=IxI
F(x) = x
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.
Even
37. What are the calculator instructions for a square root function?
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
Y=x - identity function
(-infinity - +infinity)
2nd key - x^2 - graph
38. What is the letter used to represent slope?
(-infinity - +infinity)
Horizontal
M
F(x^1)=f(x^2)
39. Draw or discuss a constant function
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
Math 4 x - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
40. What are the calculator instructions for the cube root function?
X math 3 graph
Horizontal left
F(x)=x^3
Math 4 x - graph
41. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Horizontal
42. Of the seven of algebra's common graph's how many are neither?
Square Root
F(x) = x
A line passing through two distinct points
(-infinity - +infinity)
43. What are the steps for solving a word problem?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
[0 -+infinity)
44. y=f(cx) - What does this formula represent?
Inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
Function notation
45. What is the standard quadratic function?
X^2
F of g and g of f
The minimum or maximum points
Postiive slope
46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The slope of a line containing two 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
F(x)=+c and f(x)-c
Y
47. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
1 -2 -3
Even
20+.05x=5+.10x x=minutes
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.
48. In an identity function if f(10)=x than What is y?
Negative slope
The minimum or maximum points
Y=10
The single number y=
49. How many domains can you have pointing to one range?
As many as you like
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Undefined
50. 4x+5x=8x is what type of an equation?
The opposite coordinates
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Conditional