Select all of the equations below that are equivalent to: j − k = –3 Use properties of equality. Multi-select Choices: (A)(j − k) · 28 = –84 (B)(j − k) · –32 = 96 (C)(j − k) · –31 = 93 (D)9(j − k) = –27

Question

Select all of the equations below that are equivalent to:  j − k = –3 Use properties of equality.    Multi-select Choices: (A)(j  −  k)  ·  28 = –84 (B)(j  −  k)  ·  –32 = 96 (C)(j  −  k)  ·  –31 = 93 (D)9(j  −  k) = –27

Bytelearn · Accepted Answer

Analyze Equation:  Step 1: Analyze the given equation and the properties of equality. The original equation is j − k = –3. We need to check if multiplying both sides of this equation by a constant gives the equations in the choices. Check Choice (A):  Step 2: Check choice (A). Multiply both sides of j − k = –3 by 28: (j − k) · 28 = –3 · 28 Calculate –3 · 28 = –84. Check if (j − k) · 28 = –84 matches choice (A). Check Choice (B):  Step 3: Check choice (B). Multiply both sides of j − k = –3 by –32: (j − k) · –32 = –3 · –32 Calculate –3 · –32 = 96. Check if (j − k) · –32 = 96 matches choice (B). Check Choice (C):  Step 4: Check choice (C). Multiply both sides of j − k = –3 by –31: (j − k) · –31 = –3 · –31 Calculate –3 · –31 = 93. Check if (j − k) · –31 = 93 matches choice (C). Check Choice (D):  Step 5: Check choice (D). Multiply both sides of j − k = –3 by 9: 9(j − k) = –3 · 9 Calculate –3 · 9 = –27. Check if 9(j − k) = –27 matches choice (D).

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