Solving two-step equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves isolating the variable on one side of the equation.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable in a two-step equation, perform the inverse operations in the reverse order of operations: first, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What is the first step to solve the equation 50 = 28.1 + 0.15a?

Back

The first step is to subtract 28.1 from both sides of the equation to isolate the term with the variable.

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What is the solution to the equation 6 - 3a = 21?

Back

The solution is a = -5, found by first subtracting 6 from both sides, then dividing by -3.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

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How do you check your solution for a two-step equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 26 = 5a + 1?

Back

The solution is a = 5, found by first subtracting 1 from both sides, then dividing by 5.

Front

What is the significance of the coefficient in a two-step equation?

Back

The coefficient is the number multiplied by the variable, and it affects how the variable is scaled in the equation.

Front

How do you solve the equation 20 = 2 - a?

Back

To solve this equation, add 'a' to both sides and subtract 20 from both sides, resulting in a = -18.

Front

What is the solution to the equation 3 + (1/4)a = 31?

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The solution is a = 112, found by first subtracting 3 from both sides, then multiplying by 4.