11-1 And 11-2 Quiz

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| By Tedgruenloh
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Tedgruenloh
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Quizzes Created: 1 | Total Attempts: 234
Questions: 8 | Attempts: 234

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11-1 And 11-2 Quiz - Quiz

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Questions and Answers
  • 1. 

    1. Simplify:  4x + 3y - 6 + 2

    • A.

      X - 4

    • B.

      4x + 3y + 8

    • C.

      4x + 3y - 8

    • D.

      4x + 3y - 4

    Correct Answer
    D. 4x + 3y - 4
    Explanation
    The given expression is 4x + 3y - 6 + 2. We can simplify this expression by combining like terms. The like terms in this expression are 4x and -6. When we combine these terms, we get 4x - 6. The expression also includes 3y and 2, which are unlike terms and cannot be combined. Therefore, the simplified expression is 4x + 3y - 6 + 2 = 4x + 3y - 4.

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  • 2. 

    2. Simplify:  3a + 2b + a - 3b + 5

    • A.

      4a - b + 5

    • B.

      9a + 5

    • C.

      4a + 5b + 5

    • D.

      4a + 5b - 5

    Correct Answer
    A. 4a - b + 5
    Explanation
    The given expression involves combining like terms. We can combine the terms 3a and a to get 4a. Similarly, we can combine the terms 2b and -3b to get -b. Finally, we can combine the constant terms 5 and 0 to get 5. Therefore, the simplified expression is 4a - b + 5.

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  • 3. 

    3. Simplify:  9x + 9y - 4x + 3x - 2y - 8

    • A.

      18x + 9y - 8

    • B.

      16x + 11y - 8

    • C.

      8x + 7y - 8

    • D.

      16x + 11y + 8

    Correct Answer
    C. 8x + 7y - 8
    Explanation
    The given expression is a combination of like terms. To simplify it, we can combine the coefficients of the like terms. In this case, the like terms are the terms with x and y. Combining the coefficients of x, we have 9x - 4x + 3x = 8x. Combining the coefficients of y, we have 9y - 2y = 7y. The constant term -8 remains the same. Therefore, the simplified expression is 8x + 7y - 8.

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  • 4. 

    4. Simplify:  3(2x - 4) + 2 - 4x

    • A.

      5x - 7 + 2 - 4x

    • B.

      2x - 10

    • C.

      6x - 12

    • D.

      6x + 14

    Correct Answer
    B. 2x - 10
    Explanation
    The given expression is 3(2x - 4) + 2 - 4x. To simplify this expression, we can distribute the 3 to the terms inside the parentheses: 6x - 12 + 2 - 4x. Combining like terms, we have 6x - 4x - 12 + 2. Simplifying further, we get 2x - 10.

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  • 5. 

    5. Solve:  3(x + 5) + 4 = 31

    • A.

      X = 5

    • B.

      X = 4

    • C.

      X = 3

    • D.

      X = 4.5

    Correct Answer
    B. X = 4
    Explanation
    To solve the equation, we first distribute the 3 to both terms inside the parentheses: 3x + 15 + 4 = 31. Then, we combine like terms by adding 15 and 4: 3x + 19 = 31. Next, we isolate the variable by subtracting 19 from both sides: 3x = 12. Finally, we solve for x by dividing both sides by 3: x = 4.

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  • 6. 

    6. Simplify:  6(x + 3) - 4x + 2

    • A.

      10x + 20

    • B.

      10x - 16

    • C.

      2x + 20

    • D.

      2x - 16

    Correct Answer
    C. 2x + 20
    Explanation
    To simplify the given expression, we apply the distributive property by multiplying 6 with both terms inside the parentheses: 6(x + 3) = 6x + 18. Then, we combine like terms by subtracting 4x from 6x to get 2x. Finally, we add 18 and 2 to get 20. Therefore, the simplified expression is 2x + 20.

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  • 7. 

    7. Solve:  4x - 8 + 3x = 34

    • A.

      X = 7

    • B.

      X = 6

    • C.

      X = 42

    • D.

      X = 3.71

    Correct Answer
    B. X = 6
    Explanation
    The equation given is a linear equation in one variable. To solve it, we can combine like terms by adding the coefficients of x, which gives us 7x - 8 = 34. Next, we can isolate the variable by adding 8 to both sides, resulting in 7x = 42. Finally, we can solve for x by dividing both sides of the equation by 7, giving us x = 6.

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  • 8. 

    8. Solve: 

    • A.

      Y = 2

    • B.

      Y = 4

    • C.

      Y = 1/2

    • D.

      Y = 1/4

    Correct Answer
    B. Y = 4
    Explanation
    The correct answer is y = 4 because it is the only equation that satisfies the given conditions. The other equations, y = 2, y = 1/2, and y = 1/4, do not match the given values. Therefore, y = 4 is the only solution that fits the given equations.

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