Select all of the equations below that are equivalent to: p + q = 33 Use properties of equality. Multi-select Choices: (A)(p + q) · –3 = –99 (B)(p + q) · 2 = 66 (C)3(p + q) = 99 (D)(p + q) · –2 = –66

Question

Select all of the equations below that are equivalent to:  p + q = 33 Use properties of equality.    Multi-select Choices: (A)(p  +  q)  ·  –3 = –99 (B)(p  +  q)  ·  2 = 66 (C)3(p  +  q) = 99 (D)(p  +  q)  ·  –2 = –66

Bytelearn · Accepted Answer

Identify equation and property:  Step 1: Identify the given equation and the property to use. We know p + q = 33. We need to check which options are equivalent using multiplication or division properties of equality.Check option (A):  Step 2: Check option (A) (p + q) · –3 = –99. Multiply the left side of the given equation by -3: (p + q) * -3 = 33 * -3 = -99.Check option (B):  Step 3: Check option (B) (p + q) · 2 = 66. Multiply the left side of the given equation by 2: (p + q) * 2 = 33 * 2 = 66.Check option (C):  Step 4: Check option (C) 3(p + q) = 99. Multiply the left side of the given equation by 3: 3 * (p + q) = 3 * 33 = 99.Check option (D):  Step 5: Check option (D) (p + q) · –2 = –66. Multiply the left side of the given equation by -2: (p + q) * -2 = 33 * -2 = -66.

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