4.1 day ONE checkpoint

Front

What is the first step to isolate 'x' in the equation 33 = 4x - 7?

Back

First, add 7 to both sides.

Front

How do you solve the equation -26 = -5a - 1 for 'a'?

Back

Add 1 to both sides to get -25 = -5a, then divide by -5 to find a = 5.

Front

What type of equation is 6 - 3a = 21?

Back

This is a two-step equation.

Front

How do you solve for 'a' in the equation -3a + 8 = 14?

Back

Subtract 8 from both sides to get -3a = 6, then divide by -3 to find a = -2.

Front

What are the steps to solve -20 = 2 - a for 'a'?

Back

Subtract 2 from both sides to get -22 = -a, then multiply by -1 to find a = 22.

Front

What is the general strategy for solving linear equations?

Back

Isolate the variable on one side of the equation using inverse operations.

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 alone on one side.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.

Front

How can you check your solution after solving an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that both sides of the equation remain equal after performing operations.