Creating equations

Front

82 added to a number is the same as 36

Back

t + 82 = 36

Front

A number added to 22 is the same as the product of 6 and a number.

Back

22 + k = 6x

Front

The product of 12 and a number is the same as 2 removed from a number.

Back

12x = x - 2

Front

88 is removed from 14⁄16 a number

Back

14⁄16x - 88

Front

A number halved is equal to 22 fewer than the number.

Back

n/2 = n - 22

Front

A​ town's population is 47,500. About 75 people move out of the town each month. Each​ month, 125 people on average move into town. A nearby town has a population of 50,250. It has no one moving in and an average of 200 people moving away every month. In about how many months will the populations of the towns be​ equal? Write an equation to model the situation.

Back

125m-75m+47,500 = 50,250-200m

Front

x/9=28

Back

The quotient of 9 and a number is 28

Front

Rayshawn and Robert are both saving money for their summer vacations. They began saving at the same time. Rayshawn started with $10.25 and adds $5.15 to his savings every month. Robert did not have a starting amount but adds $10.25 to his savings every month. Which equation could be used to determine how many months, m, it will take before Rayshawn and Robert both have saved the same amount of money?

Back

5.15m + 10.25 = 10.25m

Front

120 more than twice a number is the same as halve a number removed from 8

Back

2t+120 = 8-t⁄2

Front

The 30 members of a choir are trying to raise at least $1500 to cover travel costs to a signing camp. They have already raised $600. Which inequality would you solve to find the average amount each member can raise in order to meet the goal? Options: 30x + 600 ≥ 1500, 30x + 600 ≤ 1500, 30x - 600 ≤ 1500, 30x = 1500

Back

30x + 600 ≥ 1500