Math word problems basic algebra

Carol had 956 rmb in her bank account. She took the same amount of money out 4 times last month. Her current balance is 656 rmb. How much money did she take out each time?

Choose the algebraic equation that will solve this question:

• 956 = 656 - 4x

• 956 - 4x = 656

• 656 + 956 divided by x = 4

• 4 x 656 - x = 956

Sal purchases a 12 month subscription to a science website. He had to pay a sign-up fee of 20 rmb. He has to pay the same fee each month for the subscription (12 months). They will give him a discount of 5 rmb when he joins. His total cost is 399 rmb. What does he have to pay each month?

Hint: you are looking for the monthly fee

• 399 + 20 - 5 = 12f

• 5 + f = 399 - 12

• 12f -5 + 20 = 399

• 20f - 12f + 5 = 399

There will be a concert in the large school hall. 4,500 posters have been printed to advertise the concert. Bob divides the posters into 18 equal stacks for the 18 volunteers who will distribute them. How many posters are in each stack?

• 18/4500 = p

• 18 + p = 4500

• 18p = 4500

• 4500 - p = 18

Tamara wants a new cell phone that costs 1,008 rmb. She makes money babysitting 14 hours a week and she gets paid 12 rmb per hour. How soon can Tamara buy her phone?

hint: we are looking for weeks

• 14w x 12 = 1,008

• 12w + 14 = 1,008

• 1,008 = 14 x 12 divided by weeks

• 1,008 - 12x = 14

Adrian wants to buy tee shirts from a retailer online. Each tee shirt costs 16 rmb. The retailer will give Adrian a discount of 10 rmb if he purchases more than 50 rmb of tee shirts. Adrian wants to spend 86 rmb.

hint: we want to know how many tee shirts Adrian can buy

• 10s - 16 = 86

• 16s - 10 = 86

• 10 + 16s = 86

• 16s + 10y = 86

Maria wants to have an anniversary party for her parents. They have been married 20 years. Maria can spend 1,620 rmb. Her favorite restaurant charges 16 rmb per person for a party. How many people can Maria invite if she will pay the bill?

• 16/1,620 = p

• 1,620 - 16 = p

• 16p = 1,620

• 16p + 16p = 1,620

Joe and his son bought tickets to the school baseball game. The two tickets were 23 rmb. Joe's ticket was 5 rmb more than his son's ticket, because his son is under 12 years old. What is the cost of a ticket for someone under 12 years old?

• t + t +5 = 23

• 23 - 5 = t

• t = 5 x 23 divided by 2

• t = (23 - 5) x 4

The bike shop charges a flat fee of 15 rmb just to rent a bike. They also charge 5 rmb for each hour the bike is used. Marion had to pay 45 rmb. How many hours did she use the bike?

• 5h+ 15 = 45

• 15h + 5 = 45

• 5 x 15h = 45

• 15 x 5h = 45

Last week Jackson made 890 rmb working. Every week he gets a base pay of 350 rmb. His hourly rate of 12 rmb per hour is added to the base pay. How many hours did Jackson work?

• 12h + 890 = 350

• 350 + 890 = 12 x h

• 350/12 = 890 + h

• 12h + 350 = 890