Lesson Plans SET B for Grades 7-8-Lesson 3-B Level 7-8 Algebraic Thinking Homework

Lesson 3-B Level 7-8 Algebraic Thinking Homework

Pdf Summary

This set of algebraic problems is designed to enhance skills and concepts taught in a Math Kangaroo class for levels 7-8. Below is a summary of the problems and their solutions:<br /><br />1. **Volume Problem:**<br />   - The combined volume of 5 pitchers and 3 bottles is 26 liters. Since 1 pitcher equals the volume of 2 bottles, you are tasked with finding the sum of the volumes of 2 pitchers and 5 bottles. The solution is 18 liters.<br /><br />2. **Equation Problem:**<br />   - Given equations \( x/y = 7/3 \) and \( z/y = 9/5 \), you need to find the value of \( (x+z)/y \), which equals 6/7.<br /><br />3. **Alien Jumpsuits Problem:**<br />   - Aliens wearing different colored jumpsuits each have a different number of tentacles. With certain conditions such as equal numbers of green and orange suit wearers, and 12 more in blue, together having 224 tentacles, calculate how many wear blue jumpsuits. The solution is 32 aliens.<br /><br />4. **Square and Area Problem:**<br />   - Three squares with side lengths of 3 cm, 6 cm, and 8 cm intersect in specific ways. Find the difference between the area of the black region and the areas shaded green. The answer is 19 cm².<br /><br />5. **Candy Distribution Problem:**<br />   - Seven students each bring a different number of candy pieces, and any four have more candy than the remaining three. Find the smallest number of pieces they collectively have. The solution is 91 pieces of candy.<br /><br />This summary includes the essential mathematical concepts and conditions involved in each problem to provide a concise understanding of the exercises in this set.

Keywords

algebraic problems

Math Kangaroo

volume problem

equation problem

alien jumpsuits

tentacles

square and area

candy distribution

mathematical concepts

problem-solving