Word Problems in Arithmetic and Algebra

This lesson covers algebraic expressions where letters represent numbers. It includes practical problems like a lemonade stand, height comparisons, age differences, and multiplication scenarios. The lesson emphasizes understanding expressions and solving equations. Students are guided through various examples and given homework to reinforce learning.

If x represents a number and x is replaced by 6, what is the result of 6 + 4?

• 12

• 14

• 10

• 8

Lynn sells lemonade for 50 cents per cup. If she sells 12 cups, how much money does she make?

• $5

• $7

• $6

• $8

If Lynn collected $127.50 from selling lemonade, how many cups did she sell?

• 255

• 225

• 275

• 200

Elena is 59 inches tall. If Andre is 4 inches taller than Elena, how tall is Andre?

• 62 inches

• 64 inches

• 63 inches

• 61 inches

Claire is 5 years older than her cousin. If her cousin is 10 years old, how old is Claire?

• 12

• 15

• 13

• 14

Diego has three times as many comic books as Han. If Han has 6 comic books, how many does Diego have?

• 12

• 21

• 18

• 15

If a bottle holds 24 ounces of water and currently has x ounces, what does 24 - x represent?

• Amount left

• Amount added

• Total capacity

• Amount used

A school paid $31.25 for each calculator. If they spent $500 in total, how many calculators did they buy?

• 12

• 14

• 16

• 18

If you spent 10% of $50 on clothes and 20% on games, how much did you spend on books?

• $15

• $45

• $35

• $25

A trash bin has a capacity of 50 gallons. If it currently holds 30 gallons, what percentage of its capacity is used?

• 70%

• 80%

• 60%

• 50%