WRITE LINEAR EQUATION FROM WORD PROBLEM

Write an equation to represent each problem. Show your work.

Problem 1 :

The Lopez family goes to the movies. They buy 2 adult tickets for $6 each and 3 child tickets for $4 each. Write an equation to represent how much money the family spends on movie tickets, t.

Solution :

The Lopez family goes to the movies.

2 adult tickets for $6 each.

3 child tickets for $4 each.

= 2 × 6 + 4 × 3

= 12 + 12

= 24

So, the family spends on movie tickets is 24.

Problem 2 :

Grace earns $5 each time she walks her neighbor’s dog. She walks the dog 5 times in one week. Then she spends $7 on a book and $9 on a building set. Write an equation to represents how much money grace has left, m.

Solution :

Grace earns the money = $5

She walks the dog 5 times in one week.

She spends on a book = $7

Building set = $9

= (5 × 5) – (7 + 9)

= 25 – 16

= 9

So, 9 money grace has left, m.

Problem 3 :

During the basketball game, Mika makes 3 baskets worth 2 points each, 2 baskets worth 3 points each, and 2 free throws worth 1 point each. Write an equation to represent how many points Mika scores, p.

Solution :

= 3 × 2 + 2 × 3 + 2 × 1

= 14

Mika scores the points p is 14.

Problem 4 :

Will has 20 pounds of apples. He makes 2 batches of applesauce that use 4 pounds each, one batch of apple butter that uses 6 pounds, and he uses 3 pounds to make juice. Write an equation to represent how many pounds of apples will has left, p.

Solution :

He makes 2 batches of applesauce that use 4 pounds each.

= 2 × 4

= 8 pounds

Quantity used for apple butter = 6

Quantity used for juice = 3

Total pounds of apples p = 20 – (8 + 6 + 3)

= 20 - 17

= 3 pounds.