Re-test Option

Front

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

Back

An equation has 'No Solution' when there are no values for the variable that can satisfy the equation. This often occurs when the two sides of the equation represent parallel lines that never intersect.

Front

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

Back

No Solution

Front

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

Back

An equation has 'One Solution' when there is exactly one value for the variable that satisfies the equation. This means the two sides of the equation intersect at a single point.

Front

Solve the equation: 25x = 90 - 5x

Back

x = 3

Front

How do you determine the number of solutions for an equation?

Back

To determine the number of solutions, simplify the equation and check if it leads to a true statement (infinite solutions), a false statement (no solution), or a specific value (one solution).

Front

Solve the equation: -2(-4x + 7) = -2 + 4x

Back

One Solution

Front

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

Back

An equation has 'Infinite Solutions' when any value for the variable satisfies the equation. This occurs when both sides of the equation are equivalent.

Front

Solve the equation: 4(8n - 1) = 19 + 32n

Back

No Solution

Front

Solve the equation: 14x + 5 = 8x - 1

Back

x = -1

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, which may involve distributing, combining like terms, or moving terms from one side to the other.