To solve each of the given one-step equations, we will isolate the variable on one side of the equation. Let's solve them step by step.
1. \( 1.6 = y - 11.2 \)
To isolate \( y \), add 11.2 to both sides:
\[
1.6 + 11.2 = y
\]
\[
y = 12.8
\]
2. \( 1.9 = k - 2.5 \)
To isolate \( k \), add 2.5 to both sides:
\[
1.9 + 2.5 = k
\]
\[
k = 4.4
\]
3. \( 5h = 2.5 \)
To isolate \( h \), divide both sides by 5:
\[
h = \frac{2.5}{5}
\]
\[
h = 0.5
\]
4. \( 0.3m = 0.9 \)
To isolate \( m \), divide both sides by 0.3:
\[
m = \frac{0.9}{0.3}
\]
\[
m = 3
\]
5. \( 2.5 = w - 12.1 \)
To isolate \( w \), add 12.1 to both sides:
\[
2.5 + 12.1 = w
\]
\[
w = 14.6
\]
6. \( 0.6 = \frac{t}{0.2} \)
To isolate \( t \), multiply both sides by 0.2:
\[
t = 0.6 \times 0.2
\]
\[
t = 0.12
\]
7. \( 1.8 = 0.6m \)
To isolate \( m \), divide both sides by 0.6:
\[
m = \frac{1.8}{0.6}
\]
\[
m = 3
\]
8. \( 1.1 = w + 0.9 \)
To isolate \( w \), subtract 0.9 from both sides:
\[
1.1 - 0.9 = w
\]
\[
w = 0.2
\]
9. \( \frac{q}{0.3} = 1.2 \)
To isolate \( q \), multiply both sides by 0.3:
\[
q = 1.2 \times 0.3
\]
\[
q = 0.36
\]
10. \( 0.6p = 2.4 \)
To isolate \( p \), divide both sides by 0.6:
\[
p = \frac{2.4}{0.6}
\]
\[
p = 4
\]
Final Answers:
\[
\boxed{
\begin{aligned}
&y = 12.8, \quad k = 4.4, \quad h = 0.5, \quad m = 3, \quad w = 14.6, \\
&t = 0.12, \quad m = 3, \quad w = 0.2, \quad q = 0.36, \quad p = 4
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of equations with decimals worksheet.
