Properties and Applications of Algebra

This video covers Math 7 Unit 6 Lesson 3 Part 2, focusing on reasoning with tape diagrams. It includes activities on finding equivalent expressions using properties like distributive and commutative, matching equations with tape diagrams, and solving equations visually. The lesson concludes with a summary and a homework overview.

Which property allows you to change the order of multiplication in an expression?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

What is the result of applying the distributive property to 7 * (2 - 3n)?

• 7 + 3n

• 7 - 3n

• 14 + 21n

• 14 - 21n

Which equation matches a tape diagram with two X's and a 5, summing to 19?

• 2x + 5 = 19

• 5x + 2 = 19

• 2x = 19

• x + 5 = 19

How can you represent the equation 19 = 5 + 2x using a tape diagram?

• Two groups of x + 5

• A single group of 19

• Five groups of x + 2

• Two groups of 5 + x

What is the first step in solving 3x + 18 = 114 using a tape diagram?

• Multiply both sides by 3

• Add 18 to both sides

• Divide both sides by 3

• Subtract 18 from both sides

In the equation 3 * (y + 18) = 114, what is the value of y?

• 20

• 32

• 18

• 38

What is the sum of the numbers in each row, column, and diagonal of a magic square if one row sums to 9?

• 6

• 9

• 15

• 12

How many times is the quantity x + 1 repeated in a tape diagram representing 5(x + 1) = 20?

• 5 times

• 4 times

• 3 times

• 6 times

If a car travels 135 miles in 3 hours, what is its speed in miles per hour?

• 35 mph

• 40 mph

• 45 mph

• 50 mph

How do you calculate the speed of a car that travels 22 miles in half an hour?

• Multiply 22 by 2

• Divide 22 by 2

• Add 22 to 2

• Subtract 2 from 22