2. Linear Equations and Inequalities

The Multiplication and Division Properties of Equality

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Multiple Choice

Solve the given linear equation, then check your answer
$0.5 t + 1.5 t = 7 + 3 - 4$

$t equals 1$

$t = - 6$

$t equals 3$

$t = - 3$

Verified step by step guidance

Start with the given equation: \$0.5t + 1.5t = 7 + 3 - 4$.

Combine like terms on the left side by adding the coefficients of $t$: \$0.5t + 1.5t = (0.5 + 1.5)t = 2t$.

Simplify the right side by performing the arithmetic operations: \$7 + 3 - 4$.

Rewrite the equation with the simplified expressions: \$2t = \text{(result from step 3)}$.

Solve for $t$ by dividing both sides of the equation by 2: $t = \frac{\text{(result from step 3)}}{2}$.

Master Multiplication and Division Properties of Equality with a bite sized video explanation from Patrick Ford

Solve the given linear equation, then check your answer0.5t+1.5t=7+3−40.5t+1.5t=7+3-4