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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. 4(x-7)=4x+28 is what type of an equation?
Identity
Parraelle line
Inconsitent
Undefined slope
2. What type of slope do you have when the line is horizontal and m=0?
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
(-infinity - +infinity)
Function notation
3. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Horizontal
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
4. What is the domain for a standard quadratic function?
F(x)=suare root of x
Same
(-infinity - +infinity)
1 -2 -3
5. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity
F(x+h)-f(x)/h h cannot equal zero
Conditional
6. Of the seven of algebra's common graph's how many are neither?
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.
Yes because two x's or domains can point to one y
In a quotient
Square Root
7. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
X = the original sale price and the formula is x - .40x =$276
X math 3 graph
Cannot be drawn in quizlet
8. What is the vertical line formula?
F(x+c) and f(x-c)
Only one
X=a
Set the x and y to zero and get the intercepts and then plot the points
9. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
A V
Parabola - up one and right three
F(x)=3 square root x
10. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
4 -6 -9
When does a graph not define y as a function of x?
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
11. How do you graph Ax+By+C=0?
Neither
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
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
12. 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?
Equation of a line
45 degree angle
X is the hours to repair the boat. $1603-532=anwser/63 = x
Yes because two x's or domains can point to one y
13. x=all real numbers is what type of an equation?
[0 -+infinity)
Identity
X math 3 graph
(-infinity - +infinity)
14. What are the calculator instructions for a square root 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.
(-infinity - +infinity)
2nd key - x^2 - graph
Postiive slope
15. What shape is the standard quadratic function?
X^2
Negative slope
Parabola
Conditional
16. 4(x-7)=4x+28 is what type of an equation?
Yes because two x's or domains can point to one y
Inconsitent
Square Root
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.
17. What is the formula for the standard cubic function?
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276
F(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
18. What does the graph of the cube root function look like on the graph?
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
Undefined slope
Cannot be drawn in quizlet
19. What is the point slope formula and when do you use it?
Same
(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)
2nd catalog (zero key -) abs(x) - graph
20. What are the four steps for finding the inverse of a function?
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)=x^3
Y=x^2 - graph
Y=x^2 - graph
21. What is the domain and range of a constant function?
As equations
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
F(x+c) and f(x-c)
22. Draw or discuss an increasing function
Cannot be drawn in quizlet
Identity
(-infinity - +infinity)
Y=10
23. What is the range of an identity function?
F(x+c) and f(x-c)
X^2
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.
(-infinity - +infinity)
24. What is the letter used to represent slope?
Up
F(x2)-f(x1) / x2-x1
M
No because you cannot have one domain pointing at two y's or ranges
25. What is the range for the standard cubic function?
45 degree angle
(-infinity - +infinity)
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
Square Root
26. x= a real number is what type of equation?
Conditional
The single number y=
Negative slope
Piecewise
27. What is a relation?
(-infinity - +infinity)
Any set of ordered pairs
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.
[0 -+infinity)
28. standard absolute value - horizontal shift formulas for left and right
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
(-infinity - +infinity)
F(x+c) and f(x-c)
Horizontal right
29. What points do you use to plot the inverse on a graph?
The opposite coordinates
Only one
[0 -+infinity)
Any set of ordered pairs
30. What is the formula for the square root function?
F(x)=suare root of x
X = the original sale price and the formula is x - .40x =$276
F(x) = x
Square Root
31. A flat line underlining one vertical line is a symbol for...
Perpendicular line
2nd key - x^2 - graph
[0 -+infinity)
Y=x - identity function
32. Which direction does f(x-c) move
Negative inverse
Horizontal right
Y=b
M
33. What is the vertical line test?
X^2
When does a graph not define y as a function of x?
Conditional
Even
34. What is the domain for an absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Undefined slope
The single number y=
35. What is the range of the constant function?
45 degree angle
The single number y=
Y=IxI
Identity
36. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
F(x+c) and f(x-c)
Negative slope
Function notation
37. Is an absolute value function even - odd or neither?
Even
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
No because you cannot have one domain pointing at two y's or ranges
38. What is the range for a standard quadratic function?
The second set of components of an ordered pair
Conditional
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
39. 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.
F(x)=+c and f(x)-c
45 degree angle
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
40. What type of slope do horizontal lines have?
Zero slope
F of g and g of f
Same
(-infinity - +infinity)
41. How would this formula move f(x)=(x+1)^2-3
45 degree angle
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola - up one and right three
42. What is the formula for slope?
Cannot be drawn in quizlet
The second set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
43. x= a real number is what type of equation?
Conditional
Y=x^2 - graph
M
(-infinity - +infinity)
44. x=all real numbers is what type of an equation?
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
Piecewise
Horizontal
45. What does the square root function look like on a graph?
Even
Line ascending to the right gradually
F(x2)-f(x1) / x2-x1
Mirror image neg quadrant to that of the positive quandrant
46. What is the formula for an identity function?
F(x) = x
Y=x^2 - graph
Parabola
Y=10
47. What are the calculator instructions for absolute value?
The single number y=
Function notation
Even
2nd catalog (zero key -) abs(x) - graph
48. What is the range of the cube root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Horizontal left
Inconsistant
49. What is a constant function?
M
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes
50. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
A V
Function notation
4 -6 -9