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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. Is a standard quadratic function even - odd or neither?
X = the original sale price and the formula is x - .40x =$276
Even
1 -2 -3
Parraelle line
2. How do you graph Ax+By+C=0?
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The minimum or maximum points
3. 4(x-7)=4x-28 is what type of an equation?
Identity
Down
F(x+h)-f(x)/h h cannot equal zero
Because the demintor of a quotient can never equal zero
4. What type of line is an identity function?
Horizontal
(-infinity - +infinity)
45 degree angle
The first set of components of an ordered pair
5. When is the only time (-infinity - +infinity) is not the domain?
X^2
X=a
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
6. What is the slope of a perpendicular line?
Negative inverse
Inconsistant
Even
The opposite coordinates
7. What does linear equation mean?
X^2
Equation of a 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.
The secant line
8. What can we substitute for f(x)?
Y
Identity
F(x)=+c and f(x)-c
The single number y=
9. Of the seven of algebra's common graph's how many are neither?
45 degree angle
Square Root
M
X2-x1 because the demonaitor of a quotient can never equal zero
10. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The slope of a line containing two points
X = the original sale price and the formula is x - .40x =$276
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=suare root of x
11. What are the calculator instructions for a standard quadratic equation?
F(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
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.
Y=x^2 - graph
12. What is the domain for the standard cubic function?
Parabola
(-infinity - +infinity)
A V
0<c<1 - horizontal stretching
13. What type of slope do you have when m=? and the line is vertical?
4 -6 -9
Undefined slope
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
14. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Negative inverse
Same
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
15. 4(x-7)=4x+28 is what type of an equation?
Cannot be drawn in quizlet
Inconsitent
(-infinity - +infinity)
(-infinity - +infinity)
16. What is the range of an identity function?
Parabola - up one and right three
Y=IxI
(-infinity - +infinity)
Undefined slope
17. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Y
Three odd - cube root - identity - standard cubic
Square Root
18. What does the absolute value function look like?
Perpendicular line
A V
The single number y=
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.
19. What type of line is a constant function?
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=IxI
The secant line
20. x=all real numbers is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Identity
Horizontal left
Y=IxI
21. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
No because you cannot have one domain pointing at two y's or ranges
Same
Piecewise
22. What does the square root function look like on a graph?
Line ascending to the right gradually
Y
The second set of components of an ordered pair
X math 3 graph
23. What are the calculator instructions for a square root function?
M
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
2nd key - x^2 - graph
24. What are the calculator instructions for the standard cubic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X math 3 graph
Even
Any set of ordered pairs
25. How do you calculate a constant function in your calculator?
F(x^1)=f(x^2)
Inconsistant
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph
26. What is the formula for to calculate the difference of a quotient function?
Parraelle line
Only one
Even
F(x+h)-f(x)/h h cannot equal zero
27. How do you calculate a constant function in your calculator?
Function notation
F(x+c) and f(x-c)
Y= then enter the number then press graph
4 -6 -9
28. 4x+5x=8x is what type of an equation?
F(x)=IxI
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
Conditional
29. Which direction does f(x)=+c move in standard absolute value formula?
Up
Cannot be drawn in quizlet
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
30. What is the slope intercept formula? Define all the variables.
Yes because two x's or domains can point to one y
In a quotient
Piecewise
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
31. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
Down
M
Zero slope
32. What type of slope do horizontal lines have?
Approach neg toward x through zero and above positive close to x
Same
F(x) = x
Identity
33. What can never equal zero in the slope formula and why?
Math 4 x - graph
A V
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
34. How many domains can you have pointing to one range?
Perpendicular line
As many as you like
The secant line
Cannot be drawn in quizlet
35. 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
Negative inverse
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
36. What are the algebra of functions?
Even
Mirror image neg quadrant to that of the positive quandrant
Absolute Value - Constant and Standard Quadratic
(f+g) - (f-g) - (fg) - (f/g) all of x
37. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
(-infinity - +infinity)
2nd key - x^2 - graph
Neither
38. What are the calculator instructions for the standard cubic function?
Y=x - identity function
X math 3 graph
(-infinity - +infinity)
Zero slope
39. Draw or discuss a constant function
Conditional
Horizontal right
(-infinity - +infinity)
Cannot be drawn in quizlet
40. What are the four steps for finding the inverse of a function?
Horizontal
Perpendicular line
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
41. What is a domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
As equations
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The first set of components of an ordered pair
42. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
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
X math 3 graph
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
43. What direction does f(x)-c move in standard absolute value formula?
Down
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Horizontal
44. standard absolute value - horizontal shift formulas for left and right
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+c) and f(x-c)
Zero slope
F(x)=x^3
45. What is the formula for an absolute value function?
Y
F(x+h)-f(x)/h h cannot equal zero
F(x)=IxI
F(x+c) and f(x-c)
46. What are the four steps for finding the inverse of a function?
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsitent
F(x)=3 square root x
47. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Change in y / change in x = rise / run = y2-y1 / 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
Negative inverse
48. How would this formula move f(x)=(x+1)^2-3
Horizontal left
F(x)=IxI
[0 -+infinity)
Parabola - up one and right three
49. What are the calculator instructions for a square root function?
Conditional
2nd key - x^2 - graph
F(x+h)-f(x)/h h cannot equal zero
Postiive slope
50. What is the vertex?
4 -6 -9
The minimum or maximum points
Even
F(x+c) and f(x-c)