Unit 4 Flashcard Review

Front

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

Back

An equation has 'No Solution' when there are no values that can satisfy the equation. This often occurs when simplifying leads to a contradiction, such as 0 = 5.

Front

Solve the equation: 2(3g + 1) = 3g + 1 + 3g

Back

No Solution

Front

What is the first step to solve the equation 5x - 4 = 3 - 2x?

Back

Add 2x to both sides to combine like terms.

Front

Solve for x: 5x - 4 = 3 - 2x

Back

x = 1

Front

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

Back

An equation has 'Infinite Solutions' when any value of the variable satisfies the equation, often resulting from equivalent expressions.

Front

Solve the equation: –2q ‒ 3 = –2q ‒ 8

Back

No Solution

Front

Back

n = 2

Front

What is the correct equation for a hanger that balances at x + 3 = 8?

Back

x + 3 = 8

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and the constants on the other.

Front

What does it mean to 'combine like terms' in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.