Cc3 Ch. 5 Closure By Mr. Cheung
Questions and Answers
- 1.
Solve for x. 3(2x − 1) + 7 = −44
- A.
X = -8
- B.
X = -6
- C.
X = -10
- D.
X = 6
Correct Answer
A. X = -8Explanation
By distributing the 3 to both terms inside the parentheses, the equation becomes 6x - 3 + 7 = -44. Simplifying further, we get 6x + 4 = -44. Subtracting 4 from both sides gives 6x = -48. Finally, dividing both sides by 6, we find that x = -8.Rate this question:
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- 2.
Solve for x. 6(2x − 5) = −(x + 4)
- A.
X = 2
- B.
X = 1
- C.
X = -1
- D.
X = -4
Correct Answer
A. X = 2Explanation
By distributing the 6 to both terms inside the parentheses, we get 12x - 30. By distributing the negative sign to both terms inside the other parentheses, we get -x - 4. Combining like terms, we have 12x - 30 = -x - 4. By moving all the x terms to one side of the equation and the constant terms to the other side, we get 13x = 26. Dividing both sides by 13, we find that x = 2.Rate this question:
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- 3.
Solve for y. That is, get the y variable by itself on one side of the equation. 2x + 5y = 10
- A.
![Cc3 Ch. 5 Closure By Mr. Cheung - Quiz]()
- B.
![Cc3 Ch. 5 Closure By Mr. Cheung - Quiz]()
- C.
Y = -2x + 2
- D.
Y = -5x + 5
Correct Answer
A.Explanation
To solve for y, we need to isolate the y variable on one side of the equation. In this case, we can start by subtracting 2x from both sides of the equation. This gives us 5y = -2x + 10. Next, we divide both sides of the equation by 5 to solve for y. This gives us y = (-2/5)x + 2. Therefore, the correct answer is y = -2/5x + 2.Rate this question:
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- 4.
Solve for x. That is, get the x variable by itself on one side of the equation. 3(x + 2) = y − 6
- A.
![Cc3 Ch. 5 Closure By Mr. Cheung - Quiz]()
- B.
![Cc3 Ch. 5 Closure By Mr. Cheung - Quiz]()
- C.
![Cc3 Ch. 5 Closure By Mr. Cheung - Quiz]()
- D.
![Cc3 Ch. 5 Closure By Mr. Cheung - Quiz]()
Correct Answer
A.Explanation
To solve for x in the equation 3(x + 2) = y - 6, we need to isolate the x variable. We can start by distributing the 3 to both the x and 2 inside the parentheses, which gives us 3x + 6. The equation now becomes 3x + 6 = y - 6. To isolate the x variable, we can subtract 6 from both sides of the equation, resulting in 3x = y - 12. Finally, to solve for x, we divide both sides of the equation by 3, giving us the solution x = (y - 12)/3.Rate this question:
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- 5.
Use the Equal Values Method to solve for the following systems of equations. y = 7x − 5 y = −2x + 13
- A.
X = 2 and y = 9
- B.
X = 9 and y = 2
- C.
X = 5 and y = 3
- D.
X = 3 and y = 5
Correct Answer
A. X = 2 and y = 9 -
- 6.
Use the Equal Values Method to solve for the following systems of equations. y = 3x − 1 y = 3x + 2
- A.
No solution
- B.
Infinite solutions
- C.
(1, 2)
- D.
(2, 1)
Correct Answer
A. No solutionExplanation
The given system of equations is y = 3x - 1 and y = 3x + 2. By comparing the coefficients of x in both equations, we can see that they are the same (3). However, the constant terms (-1 and 2) are different. This means that the lines represented by these equations have the same slope but different y-intercepts. Therefore, the lines are parallel and will never intersect, resulting in no solution.Rate this question:
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- 7.
To rent a jet ski at Sam’s costs $25 plus $3 per hour. At Claire’s, it costs $5 plus $8 per hour. Let x = the number of hours rented, and y = the total cost for the rentals. Which two equations could be used to represent the cost the rent the jet skis at Sam's and Claire's? (Select all that apply)
- A.
Y = 3x + 25
- B.
Y = 8x + 5
- C.
Y = 25x + 3
- D.
Y = 5x + 8
Correct Answer(s)
A. Y = 3x + 25
B. Y = 8x + 5Explanation
The equation y = 3x + 25 represents the cost to rent a jet ski at Sam's, where $25 is the initial cost and $3 per hour is added. The equation y = 8x + 5 represents the cost to rent a jet ski at Claire's, where $5 is the initial cost and $8 per hour is added.Rate this question:
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- 8.
To rent a jet ski at Sam’s costs $25 plus $3 per hour. At Claire’s, it costs $5 plus $8 per hour. At how many hours will the rental cost at both shops be equal?
Correct Answer(s)
4
4 hoursExplanation
The rental cost at Sam's is $25 plus $3 per hour, while at Claire's it is $5 plus $8 per hour. To find the number of hours at which the rental cost at both shops will be equal, we need to set up an equation. Let x be the number of hours. The equation will be: 25 + 3x = 5 + 8x. By solving this equation, we find that x = 4. Therefore, at 4 hours, the rental cost at both shops will be equal.Rate this question:
- 9.
Which colored line best represents the graph of the equation y = 4x + 3?
- A.
Red
- B.
Blue
- C.
Green
- D.
Purple
Correct Answer
A. RedExplanation
The correct answer is Red because the equation y = 4x + 3 represents a linear function with a positive slope of 4. The red line is the only one that has a positive slope and is consistent with the equation given.Rate this question:
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- 10.
Write the rule that can be best used to represent the table above (in y = mx+b form).
Correct Answer
y=2x-1
y = 2x - 1
y = 2x-1Explanation
The given correct answer is y = 2x - 1. This equation represents a linear relationship between the variables x and y, where the coefficient of x is 2 and the constant term is -1. This means that for every increase of 1 in x, y will increase by 2. The equation is in the standard form of a linear equation, y = mx + b, where m represents the slope of the line and b represents the y-intercept. In this case, the slope is 2 and the y-intercept is -1.Rate this question:
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