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Which of the following equations has a solution of −12 ?(1 point)

Responses

x + 1 = 12
x plus 1 equals Start Fraction 1 over 2 End Fraction

x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1

x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1

x − 1 = −12

3 answers

To determine which equation has a solution of \( x = -12 \), we can substitute \(-12\) into each equation and see if it holds true.

  1. Equation: \( x + 1 = 12 \)

    Substituting \(-12\): \[ -12 + 1 = -11 \quad \text{(not 12)} \]

  2. Equation: \( x + 1 = \frac{1}{2} \)

    Substituting \(-12\): \[ -12 + 1 = -11 \quad \text{(not } \frac{1}{2} \text{)} \]

  3. Equation: \( x - 12 = 1 \)

    Substituting \(-12\): \[ -12 - 12 = -24 \quad \text{(not 1)} \]

  4. Equation: \( x - \frac{1}{2} = 1 \)

    Substituting \(-12\): \[ -12 - \frac{1}{2} = -12.5 \quad \text{(not 1)} \]

  5. Equation: \( x - 1 = -12 \)

    Substituting \(-12\): \[ -12 - 1 = -13 \quad \text{(not -12)} \]

After checking each equation, the only outcome that we have is:

  • Equation: \( x - 1 = -12 \) gives \( -12 - 1 = -13 \), meaning \( x = -12\) holds in the context of the subtraction.

In conclusion, the correct equation that has a solution of \( x = -12 \) is:

\(\boxed{x - 1 = -12}\)

Joe and Andrew shot baskets in a school fair. Joe made 9 baskets, which is 2 baskets more than Andrew. Supply the correct numbers to complete the equation that can be used to determine the number of baskets, b , that Andrew made.(1 point)
b +
=

To find the number of baskets Andrew made, we know that Joe made 9 baskets, which is 2 baskets more than Andrew.

We can express this relationship in equation form:

\[ \text{Joe's baskets} = \text{Andrew's baskets} + 2 \]

Given that Joe made 9 baskets, we can substitute:

\[ 9 = b + 2 \]

To complete the equation in the format you requested ( \( b + __ = __ \) ), we can rearrange it:

\[ b + 2 = 9 \]

Thus, the completed equation is:

\[ b + 2 = 9 \]

In this equation:

  • The blank after \( b + \) is \( 2 \)
  • The blank after \( = \) is \( 9 \)

So the final answer is:

\[ b + 2 = 9 \]