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:

Questions 6 (Equation Solving)

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

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

Step2: Isolate $y$ for $5y=3$

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

Step3: Isolate $z$ for $0.3z=0.09$

$z=\frac{0.09}{0.3}=\frac{9}{300}=\frac{3}{100}=0.03$

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Questions 7-10 (Track Distance Calculations)

Step1: Calculate 2 laps distance

$\text{Distance} = 2 \times 400 = 800$ meters

Step2: Calculate 5 laps distance

$\text{Distance} = 5 \times 400 = 2000$ meters

Step3: Calculate $x$ laps distance

$\text{Distance} = x \times 400 = 400x$ meters

Step4: Find laps for 7600 meters

$\text{Laps} = \frac{7600}{400} = 19$ laps
(Explanation: Divide total meters by meters per lap to get the number of complete laps.)

Answer:

Equation	Solution (Fraction)	Solution (Decimal)
$5y=3$	$\frac{3}{5}$	$0.6$
$0.3z=0.09$	$\frac{3}{100}$	$0.03$