Solving Multi-step equations.

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What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' when there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

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What does it mean if an equation has 'one solution'?

Back

An equation has 'one solution' when there is exactly one value for the variable that makes the equation true.

Front

What does it mean if an equation has 'infinite solutions'?

Back

An equation has 'infinite solutions' when any value for the variable satisfies the equation, often resulting in a true statement for all values.

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How do you combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across terms inside parentheses.

Front

Solve for p: 14 - 2(3p + 1) = 6(4 + p)

Back

p = 1 (One Solution).

Front

Solve for x: 12(x + 3) = 4(2x + 9) + 4x

Back

Infinite Solutions.

Front

Solve for z: 8z - 22 = 3(3z + 11) - z

Back

No Solution.

Front

Solve for v: 3v + 6 = 21 - 3v

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v = 15.