Solving Linear Equations and Operations

This video tutorial covers Math 7 Unit 6 Lesson 9, focusing on dealing with negative numbers. It explains how to maintain balance in equations by performing the same operations on both sides, using various examples and methods. The lesson includes discussions on solving equations, keeping equations true, and reviewing homework problems.

Which of the following equations does not belong in the set: -5 * a -3 = 5, 2 + -5 = -3, 4 - -2 = 6, -3 * a -4 = 2?

• -5 * a -3 = 5

• 4 - -2 = 6

• 2 + -5 = -3

• -3 * a -4 = 2

What is the solution to the equation x + 6 = 4?

• x = -2

• x = -10

• x = 2

• x = 10

How can you rewrite the equation x - -4 = 6 to make it easier to solve?

• x + 4 = 6

• x - 4 = -6

• x - 4 = 6

• x + 4 = -6

What is the result of solving the equation 2 * x - 1 = -200?

• x = 100

• x = -99

• x = -100

• x = 99

When keeping equations true, what operation is performed to both sides of the equation x - 6 = -9?

• Add 6

• Subtract 3

• Divide by 3

• Multiply by 100

If you start with the equation -5 = x and add 4 to both sides, what is the new equation?

• -1 = x + 4

• -1 = x - 4

• -9 = x + 4

• -5 = x + 4

What is the solution to the equation 4X = -28?

• X = 4

• X = -4

• X = 7

• X = -7

In the equation 2x + 9 = 15, what operation can you perform to both sides to simplify it?

• Subtract 9

• Multiply by 2

• Divide by 2

• Add 9

Which equation matches the tape diagram where 18 is the total and x + 5 is repeated three times?

• x + 5 = 18

• 18 / 3 = x + 5

• 3 * (x + 5) = 18

• x + 5 = 1/3 * 18

If a theater has 88 seats divided into four sections, each with 14 red seats and some blue seats, how many blue seats are in each section?

• 8

• 10

• 12

• 14