Step 1 for Solving Equations

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

What are inverse operations in the context of solving equations?

Back

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

Front

What is the first step to solve the equation \(\frac{2x}{3}+5=3\)?

Back

Subtract 5 from both sides to isolate the term with x.

Front

When solving the equation 10 + 7m = 17, what operation should you perform first?

Back

Subtract 10 from both sides.

Front

What is the next step after subtracting 10 in the equation 10 + 7m = 17?

Back

Divide by 7 to solve for m.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the purpose of using opposite operations when solving equations?

Back

The purpose is to 'undo' the operations applied to the variable, allowing you to isolate it.

Front

In the equation 3x - 4 = 11, what is the first step to solve for x?

Back

Add 4 to both sides.

Front

After adding 4 to both sides in the equation 3x - 4 = 11, what is the next step?

Back

Divide both sides by 3.

Front

What is the first step in solving the equation 2(x + 3) = 14?

Back

Divide both sides by 2.