Cc3 Ch. 5 Closure By Mr. Cheung

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  • 1/10 Questions

    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?

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Cc3 Ch. 5 Closure By Mr. Cheung - Quiz
About This Quiz

This quiz, titled 'CC3 Ch. 5 Closure by Mr. Cheung', challenges students to solve algebraic equations and systems of equations. Key skills assessed include isolating variables, employing the Equal Values Method, and understanding linear relationships. It's designed to enhance problem-solving abilities in algebra.

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  • 2. 
    Write the rule that can be best used to represent the table above (in y = mx+b form). - ProProfs

    Write the rule that can be best used to represent the table above (in y = mx+b form).

    Explanation
    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.

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  • 3. 

    Use the Equal Values Method to solve for the following systems of equations. y = 3x − 1 y = 3x + 2

    • No solution

    • Infinite solutions

    • (1, 2)

    • (2, 1)

    Correct Answer
    A. No solution
    Explanation
    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.

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  • 4. 
    Which colored line best represents the graph of the equation y = 4x + 3? - ProProfs

    Which colored line best represents the graph of the equation y = 4x + 3?

    • Red

    • Blue

    • Green

    • Purple

    Correct Answer
    A. Red
    Explanation
    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.

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  • 5. 

    Solve for x. 3(2x − 1) + 7 = −44

    • X = -8

    • X = -6

    • X = -10

    • X = 6

    Correct Answer
    A. X = -8
    Explanation
    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.

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  • 6. 

    Solve for x. 6(2x − 5) = −(x + 4)

    • X = 2

    • X = 1

    • X = -1

    • X = -4

    Correct Answer
    A. X = 2
    Explanation
    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.

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  • 7. 

    Use the Equal Values Method to solve for the following systems of equations. y = 7x − 5  y = −2x + 13

    • X = 2 and y = 9

    • X = 9 and y = 2

    • X = 5 and y = 3

    • X = 3 and y = 5

    Correct Answer
    A. X = 2 and y = 9
  • 8. 

    Solve for x.  That is, get the x variable by itself on one side of the equation. 3(x + 2) = y − 6

    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.

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  • 9. 

    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)

    • Y = 3x + 25

    • Y = 8x + 5

    • Y = 25x + 3

    • Y = 5x + 8

    Correct Answer(s)
    A. Y = 3x + 25
    A. Y = 8x + 5
    Explanation
    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.

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  • 10. 

    Solve for y.  That is, get the y variable by itself on one side of the equation. 2x + 5y = 10

    • Cc3 Ch. 5 Closure By Mr. Cheung - Quiz

    • Cc3 Ch. 5 Closure By Mr. Cheung - Quiz

    • Y = -2x + 2

    • 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.

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 07, 2013
    Quiz Created by
    Emm1010
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