6.1 Balance Equations

Front

What is a balance equation?

Back

A balance equation shows that two expressions are equal, meaning both sides have the same value.

Front

What does it mean to solve for a variable in an equation?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the value of x in the equation 3x = 36?

Back

x = 12.

Front

What is the result of 6 x 9?

Back

The result is 54.

Front

What is the equation for the sum of 7 and a number that equals 13 + 4?

Back

7 + x = 17, where x = 10.

Front

What does the equation 6 x 7 = 49 - ___ represent?

Back

It represents finding a number that, when subtracted from 49, equals 42.

Front

What is the relationship between multiplication and addition in the equation 6 x 9 = 9 + 9 + 9 + 9 + 9 + 9?

Back

It shows that multiplication is repeated addition.

Front

If 3 x 8 = 6 x ____, what is the missing number?

Back

The missing number is 4.

Front

What is the principle of equality in equations?

Back

The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

What is the first step to solve the equation 7 + x = 13 + 4?

Back

First, simplify the right side: 13 + 4 = 17.