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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 shape is the standard quadratic function?
Piecewise
Cannot be drawn in quizlet
Parabola
20+.05x=5+.10x x=minutes
2. What is slope?
X2-x1 because the demonaitor of a quotient can never equal zero
A line passing through two distinct points
4 -6 -9
X^2
3. Is the standard cubic function odd - even or neither?
Undefined
Horizontal right
F(x)=x^3
Odd
4. What is the range of a square root function?
Parraelle line
Y=x - identity function
[0 -+infinity)
(-infinity - +infinity)
5. What are the calculator instructions for a standard quadratic equation?
Neither
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Y=x^2 - graph
6. What type of slope do horizontal lines have?
Even
Y
Same
F of g and g of f
7. What type of slope do horizontal lines have?
Same
Horizontal left
X = the original sale price and the formula is x - .40x =$276
4 -6 -9
8. What is the vertical line formula?
F(x2)-f(x1) / x2-x1
Y=10
Y
X=a
9. What is a function?
F(x)=3 square root x
Conditional
Negative inverse
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
10. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The second set of components of an ordered pair
1 -2 -3
Line ascending to the right gradually
(-infinity - +infinity)
11. 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
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)
Y= then enter the number then press graph
12. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Piecewise
The minimum or maximum points
Yes because two x's or domains can point to one y
13. What is the domain and range of a constant function?
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)
Up
14. What are the steps for solving a word problem?
Only one
The slope of a line containing two points
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)
15. f(x) = x^2+3x+5 - what type of formula is this?
Horizontal
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
Function notation
16. x=no real numbers is what type of an equation?
Because the demintor of a quotient can never equal zero
F(x)=suare root of x
Inconsistant
Piecewise
17. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Y=x^2 - graph
X math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
18. What are the steps for solving a word problem?
Yes because two x's or domains can point to one y
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
When does a graph not define y as a function of x?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
19. What is the domain for a standard quadratic function?
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
As many as you like
Negative slope
(-infinity - +infinity)
20. How do you graph Ax+By+C=0?
Negative slope
(-infinity - +infinity)
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points
21. What is the formula for the square root function?
F(x)=suare root of x
0<c<1 - horizontal stretching
Horizontal
Cannot be drawn in quizlet
22. What are the calculator instructions for a square root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
23. y=f(cx) What does this formula represent?
X2-x1 because the demonaitor of a quotient can never equal zero
Y
0<c<1 - horizontal stretching
The second set of components of an ordered pair
24. What is the formula in both horizontal stretching and horizontal shrinking?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x - identity function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
25. Which direction does f(x)=+c move in standard absolute value formula?
Up
45 degree angle
(-infinity - +infinity)
Parraelle line
26. What is the average rate of change formula?
Y=x^2 - graph
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)
27. What are the algebra of functions?
Negative inverse
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
X is the hours to repair the boat. $1603-532=anwser/63 = x
28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Horizontal
Negative slope
The secant line
The second set of components of an ordered pair
29. What equation does every line have? Discuss the variables.
Zero 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.
Y=IxI
Y=10
30. What is a relation?
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Any set of ordered pairs
31. What are the calculator instructions for the cube root function?
A line passing through two distinct points
The minimum or maximum points
Negative slope
Math 4 x - graph
32. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
45 degree angle
Y=x - identity function
1 -2 -3
Even
33. What type of slope do vertical lines have?
F of g and g of f
Even
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
Undefined
34. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Down
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
A V
35. What are the calculator instructions for absolute value?
Horizontal
F(x)=3 square root x
Horizontal
2nd catalog (zero key -) abs(x) - graph
36. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
37. x=no real numbers is what type of an equation?
Inconsistant
F(x) = x
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
38. Which direction does f(x+c) move
Down
Piecewise
Horizontal left
Piecewise
39. What is the vertex?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)
As many as you like
40. What equation does every line have? Discuss the variables.
Parraelle 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.
Parabola - up one and right three
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.
41. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
45 degree angle
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
42. What are the calculator instructions for the standard cubic function?
Y=b
Y=IxI
X math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
43. What is a range?
X math 3 graph
X^2
(-infinity - +infinity)
The second set of components of an ordered pair
44. What is the letter used to represent slope?
M
F(x^1)=f(x^2)
Cannot be drawn in quizlet
X math 3 graph
45. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
Zero slope
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
46. Which direction does f(x+c) move
Horizontal left
Math 4 x - graph
Only one
No because you cannot have one domain pointing at two y's or ranges
47. y^2+x=4 is this a function? Why?
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183
48. When is the only time (-infinity - +infinity) is not the domain?
Even
Odd
In a quotient
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.
49. Is the square root function odd - even or neither?
(-infinity - +infinity)
Horizontal
Y=x - identity function
Neither
50. What is the formula for the square root function?
[0 -+infinity)
Conditional
F(x)=suare root of x
The minimum or maximum points