Question

(a) $8x = 56$
a box had x pencils. then 8 more pencils were placed in the box. the box now has 56 pencils.
a box had x pencils. then 8 pencils were removed from the box. the box now has 56 pencils.
a box has 8 pencils. each pencil weighs x grams. the 8 pencils weigh a combined total of 56 grams.
a box has 56 pencils. the pencils are aligned in 8 rows, with x pencils in each row.
none of the above
(b) $x - 9 = 27$

Explanation:

Step1: Analyze equation 8x = 56

The left - hand side 8x means 8 times x. In a real - world context, if there are 8 items and each item has a value of x, and the total value is 56.

Step2: Match with scenarios

For 8x = 56, a box has 8 pencils and each pencil weighs x grams, and the combined weight of 8 pencils is 56 grams, which is a correct interpretation of 8x = 56. Also, a box has 56 pencils aligned in 8 rows with x pencils in each row gives 8x=56.
For x - 9 = 27, it means a quantity x with 9 subtracted from it results in 27.

Answer:

(a) C. A box has 8 pencils. Each pencil weighs x grams. The 8 pencils weigh a combined total of 56 grams; D. A box has 56 pencils. The pencils are aligned in 8 rows, with x pencils in each row
(b) A box had x pencils. Then 9 pencils were removed from the box. The box now has 27 pencils.