Unit 4 Grade 8 IM Review Lessons 6-8

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when every value of the variable satisfies the equation, meaning the two sides of the equation are equivalent for all values.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values of the variable that can satisfy the equation, meaning the two sides are never equal.

Front

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

Back

Infinite Solutions

Front

What is the solution to the equation 4x - 6 = 4x + 3?

Back

No Solution

Front

What is the solution to the equation 6x + 5 = 8 + 4x + 2x?

Back

No Solution

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = -5

Front

What is the solution to the equation 2(x - 2) = 2x - 4?

Back

Infinite Solutions

Front

How do you determine if an equation has one solution, no solution, or infinite solutions?

Back

You can determine this by simplifying the equation and checking if it leads to a true statement (infinite solutions), a false statement (no solution), or a specific value (one solution).

Front

What is the first step in solving the equation 7w + 5 = 3w - 15?

Back

Subtract 3w from both sides to isolate the variable terms.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope of the line represented by the equation and affect the solution.