One Solution, No Solution, Infinite Solutions

Front

What does it mean if an equation has 'One Solution'?

Back

An equation has 'One Solution' if there is exactly one value of the variable that makes the equation true.

Front

What does it mean if an equation has 'No Solution'?

Back

An equation has 'No Solution' if there is no value of the variable that can satisfy the equation.

Front

What does it mean if an equation has 'Infinite Solutions'?

Back

An equation has 'Infinite Solutions' if any value of the variable makes the equation true, indicating that the two sides of the equation are equivalent.

Front

What is the 'Distributive Property'?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

What is the 'Addition Property of Equality'?

Back

The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the 'Subtraction Property of Equality'?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Front

What is the 'Associative Property'?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product.

Front

Solve for x: 7x + 3 = 5(2x + 5) - (3x + 22)

Back

Infinite Solution

Front

Solve for x: -4(3x + 2) = 3(-4x + 5)

Back

No Solution

Front

Solve for m: 5m - 9 = 8(m + 4) - 3(m + 10)

Back

No Solution