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Cathy
and Ahmed are trying to figure out the number of counters that will balance the lamps on the
scale. Cathy knows that 12 counters weigh more than the 3 lamps. Ahmed suggested balancing the
scale by adding 3 counters to the right side of the scale, along with the 3
lamps.
Order the steps they use to solve the
equation.
a. | Ahmed made sure there was only one equal sign in each
step. | b. | Cathy and Ahmed checked the solution be subtituting the answer
for the variable to make the equation true. 3(3) + 3 = 12. | c. | Cathy wrote the
balance problem as an algebraic equation using the variable l. l represents the number
of counters that equal the weight of each lamp. 3l + 3 = 12. | d. | Cathy and Ahmed
solved for the variable l. 3l = 9, l = 3. | e. | Ahmed took away
3 counters from each side, and both sides balanced. 3l + 3 - 3 = 12 -
3. | | |
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Jay
wants to find the number of counters that will balance the lamps on the scale. He knows that 21
counters weigh more than the 4 lamps. He adds 1 counter along with the 4 lamps to balance the
scale.
Order the steps he takes to solve the
equation.
a. | Jay solves for the variable x. 4x = 20, so
x = 5. | b. | Jay writes the problem as an algebraic equation using the
variable x. 4x + 1 = 21. | c. | He substitutes the answer for the variable to check the
equation was true. 4(5) + 1 = 21. | d. | He makes sure there was only 1 equal sign in each
step. | e. | He takes away 1 counter from each side, both sides still
balance. 4x + 1-1 = 21-1. | | |
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