Question

spiral review

1. solve each equation. write each solution as a fraction and as a decimal.

equation solution (fraction) solution (decimal)
$2x = 3$
$5y = 3$
$0.3z = 0.09$
problems 7-10: each lap around a track is 400 meters. how many meters will someone run in:

1. 2 laps?
2. 5 laps?
3. $x$ laps?
4. if sol ran 7,600 meters, how many laps did they run? explain your thinking

Explanation:

For Problems 6 (Solving Equations)

Step1: Isolate $x$ for $2x=3$

Divide both sides by 2: $x=\frac{3}{2}$

Step2: Convert to decimal

$\frac{3}{2}=1.5$

Step3: Isolate $y$ for $5y=3$

Divide both sides by 5: $y=\frac{3}{5}$

Step4: Convert to decimal

$\frac{3}{5}=0.6$

Step5: Isolate $z$ for $0.3z=0.09$

Divide both sides by 0.3: $z=\frac{0.09}{0.3}=\frac{9}{30}=\frac{3}{10}$

Step6: Convert to decimal

$\frac{3}{10}=0.3$

Step1: Calculate 2 laps distance

Multiply laps by 400: $2 \times 400 = 800$

Step2: Calculate 5 laps distance

Multiply laps by 400: $5 \times 400 = 2000$

Step3: Calculate $x$ laps distance

Multiply laps by 400: $x \times 400 = 400x$

Step4: Find laps for 7600 meters

Divide total meters by 400: $\frac{7600}{400}=19$

Answer:

Equation	Solution (Fraction)	Solution (Decimal)
$5y=3$	$\frac{3}{5}$	$0.6$
$0.3z=0.09$	$\frac{3}{10}$	$0.3$

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For Problems 7-10 (Track Distance Calculations)