8.EE.7 Checkpoint 1.3

Front

What is the first step to solve the equation 2x + 3(5x - 7) = 47?

Back

Distribute the 3 to both terms inside the parentheses: 2x + 15x - 21 = 47.

Front

How do you isolate the variable in the equation 8v - 4(v + 8) = 8?

Back

First, distribute the -4: 8v - 4v - 32 = 8, then combine like terms.

Front

What is the process to solve for x in the equation 2x - 3 + 4x = 27?

Back

Combine like terms (2x + 4x = 6x) and then add 3 to both sides to isolate the term with x.

Front

In the equation 38 + 7k = 8(k + 4), what should you do first to solve for k?

Back

Distribute the 8 on the right side: 38 + 7k = 8k + 32.

Front

What is the final step to solve the equation 3(x - 2) = 18 for x?

Back

Divide both sides by 3 to isolate (x - 2), then add 2 to both sides.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the importance of checking your solution after solving an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

How do you handle parentheses when solving equations?

Back

Use the distributive property to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

Front

What is the goal when solving for a variable in an equation?

Back

The goal is to isolate the variable on one side of the equation to find its value.