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 Questions 6 (Solving Equations)

Step1: Isolate x for 2x=3

Divide both sides by 2:
$x = \frac{3}{2}$
Convert to decimal: $x = 1.5$

Step2: Isolate y for 5y=3

Divide both sides by 5:
$y = \frac{3}{5}$
Convert to decimal: $y = 0.6$

Step3: Isolate z for 0.3z=0.09

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

Step1: Calculate 2 laps distance

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

Step2: Calculate 5 laps distance

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

Step3: Calculate x laps distance

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

Step4: Find laps for 7600m

Divide total meters by 400m per lap:
$\frac{7600}{400} = 19$ laps

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 Questions 7-10 (Track Lap Calculations)