Exercise 46 Page 212

a To solve an equation we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side by using the Properties of Equality. In this case the variable term is already on the left-hand side of the equation, so we just need to isolate it.

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b To solve an equation we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side by using the Properties of Equality.

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c To solve an equation we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side by using the Properties of Equality.

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d To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side by using the Properties of Equality.

In this case, we need to start with the Distributive Property to simplify the left-hand side of the equation.

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e Let's check our solutions for the previous equations first, and then we will observe the results.

Part A

We can check our solution by substituting in into the original equations.

2 x = 8

Substitute

$x = 4$

2 (4) = ? 8

Multiply

8 = 8

Since the left-hand side is equal to the right-hand side, our solution is correct.

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Subchapter links

4.1.1 Line of Best Fit p.196-197

4.1.2 Residuals p.201-202

4.1.3 Upper and Lower Bounds p.205-206

4.1.4 Least Squares Regression Line p.210-213