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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 domain of a square root function?
Y=b
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
Line ascending to the right gradually
2. standard absolute value - vertical shift formulas for positve and negative
The minimum or maximum points
F(x)=+c and f(x)-c
Odd
Negative slope
3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
A line passing through two distinct points
Zero slope
45 degree angle
Yes - all the domains points to one range
4. In an identity function if f(10)=x than What is y?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Horizontal right
Even
5. How many domains can you have pointing to one range?
As many as you like
X is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal right
6. What type of slope do horizontal lines have?
Line ascending to the right gradually
Same
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd
7. What are the steps for solving a word problem?
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
Up
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Same
8. Is a constant function even - odd or neither?
Y
(-infinity - 0]you[0 - +infinity)
45 degree angle
Even
9. Is the square root function odd - even or neither?
(-infinity - +infinity)
Neither
Cannot be drawn in quizlet
(-infinity - +infinity)
10. What is the horizontal line formula?
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
Y=b
11. How do you calculate a constant function in your calculator?
X^2
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
12. How many domains can you have pointing to one range?
Equation of a line
As many as you like
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
Y=IxI
13. What type of slope do you have when a line falls left to right and m<0?
Negative slope
F(x) = x
45 degree angle
Cannot be drawn in quizlet
14. What is the range for an absolute value function?
The secant line
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
Conditional
15. How do you graph Ax+By+C=0?
F(x)=x^3
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
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
16. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
No because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)
17. What is the vertical line test?
Parabola - up one and right three
When does a graph not define y as a function of x?
45 degree angle
In a quotient
18. What is the formula for to calculate the difference of a quotient function?
Equation of a line
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
F(x+h)-f(x)/h h cannot equal zero
Even
19. 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.
Identity
F(x)=x^3
F(x)=IxI
20. What is the range of a square root function?
(-infinity - 0]you[0 - +infinity)
M
The second set of components of an ordered pair
[0 -+infinity)
21. What is a relation?
X = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
F of g and g of f
Any set of ordered pairs
22. How would this formula move f(x)=(x+1)^2-3
Same
Parabola - up one and right three
Any set of ordered pairs
F(x)=+c and f(x)-c
23. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Conditional
Because the demintor of a quotient can never equal zero
Zero slope
24. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Math 4 x - graph
Undefined slope
2nd catalog (zero key -) abs(x) - graph
25. y^2+x=4 is this a function? Why?
26. 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
Y= then enter the number then press graph
Identity
The secant line
27. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Zero slope
1 -2 -3
(-infinity - +infinity)
Up
28. What is the domain of a square root function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
29. What is the formula for the square root function?
Equation of a line
Y
4 -6 -9
F(x)=suare root of x
30. How many ranges can you have for each domain?
Parabola
X is the hours to repair the boat. $1603-532=anwser/63 = x
Only one
Square Root
31. 4(x-7)=4x-28 is what type of an equation?
Identity
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
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
32. What is the range of a square root function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
F(x2)-f(x1) / x2-x1
33. What are the calculator instructions for the standard cubic function?
F(x) = x
Inconsistant
(-infinity - +infinity)
X math 3 graph
34. What can never equal zero in the slope formula and why?
F(x)=suare root of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Approach neg toward x through zero and above positive close to x
X2-x1 because the demonaitor of a quotient can never equal zero
35. What points do you use to plot the inverse on a graph?
Down
The opposite coordinates
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
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
36. Of the seven of algebra's common graph's how many are even?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
Same
37. What does the average rate of change formula solve?
Because the demintor of a quotient can never equal zero
C>1 - horizontal shrinking
The slope of a line containing two points
(-infinity - 0]you[0 - +infinity)
38. What is a range?
Horizontal right
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair
4 -6 -9
39. What is the letter used to represent 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.
X2-x1 because the demonaitor of a quotient can never equal zero
M
F(x)=IxI
40. What are the algebra of functions?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=10
Same
41. What type of function would you use to calculate the most advantageous cell phone plan?
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
Piecewise
F(x)=3 square root x
Parraelle line
42. What direction does f(x)-c move in standard absolute value formula?
Only one
Down
(-infinity - 0]you[0 - +infinity)
1 -2 -3
43. What does the standard cubic function look like on a graph?
Function notation
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
44. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
The slope of a line containing two points
Identity
X=a
45. x= a real number is what type of equation?
A V
[0 -+infinity)
Conditional
Zero slope
46. Is the standard cubic function odd - even or neither?
Odd
F(x)=suare root of x
(-infinity - +infinity)
Postiive slope
47. What does the average rate of change formula solve?
1 -2 -3
Undefined slope
The slope of a line containing two points
F(x)=suare root of x
48. What does linear equation mean?
Y=10
Inconsitent
Equation of a line
(-infinity - +infinity)
49. What is the horizontal line formula?
Y=x - identity function
Y=b
F of g and g of f
Because the demintor of a quotient can never equal zero
50. What are two examples of composit functions?
In a quotient
F of g and g of f
(-infinity - +infinity)
Any set of ordered pairs