Video solutions to help Grade 7 students learn how to solve equations using Algebra.

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Common Core For Grade 7

• Students understand that if a number sentence is true and we make any of the following changes to the
number sentence, the resulting number sentence will be true:

i. Adding the same number to both sides of the equation

If a = b then a + c = b + c

ii. Subtracting the same number from both sides of the equation

If a = b then a - c = b - c

iii. Multiplying each side of the equation by the same number

If a = b then a(c) = b(c)

iv. Dividing each side of the equation by the same nonzero number

If a = b and c ≠ 0 then a ÷ c = b ÷ c

• Students revisit the integer game to justify the above referenced if-then statements.

• If a number sentence is true, a = b, and you add or subtract the same number from both sides of the
equation, then the resulting number sentence will be true.

• If a number sentence is true, a = b, and you multiply or divide both sides of the equation by the same
number, then the resulting number sentence will be true.

Exercises 1 - 2

1. The table below shows two hands from the Integer Game and a series of changes that occurred to each hand. Part of the table is completed for you. Complete the remaining part of the table, then summarize the results.

2. Complete the table below using the multiplication property of equality.

Problem Set

3. If is divided to two of the equivalent expressions from Exercise 1, write an if-then statement using the properties of equality.