Checking Solutions to Equations Check

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables. For example, 5(x + 4) = 3x is an equation.

Front

What is the value of the variable that makes an equation true called?

Back

The value of the variable that makes an equation true is called the solution.

Front

Solve the equation: 3(y + 1) = 4y - 5. What is y?

Back

y = 8.

Front

Determine if t = 4 is a solution to the equation: 2t + 5 = 15.

Back

No, t = 4 is not a solution because substituting 4 gives 2(4) + 5 = 13, which is not equal to 15.

Front

Is x = 9 a solution to the equation 3(3x - 1) + 6x = 30?

Back

No, substituting x = 9 does not satisfy the equation.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical or constant quantity placed before a variable in an equation. For example, in 6x, 6 is the coefficient.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change. For example, in the equation 2x + 3 = 7, 3 and 7 are constants.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value after simplification.

Front

What is the first step to check if a value is a solution to an equation?

Back

The first step is to substitute the value into the equation and simplify both sides.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.