Let’s solve the equation step by step.
We start with:
5 + 10(a + 2) = 35
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Step 1: Use the Distributive Property
That means we multiply 10 by each term inside the parentheses:
10 × a = 10a
10 × 2 = 20
So now the equation becomes:
5 + 10a + 20 = 35
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Step 2: Combine like terms on the left side
5 and 20 are both numbers (constants), so add them:
5 + 20 = 25
Now the equation is:
10a + 25 = 35
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Step 3: Get rid of the +25 on the left side
Subtract 25 from both sides to keep the equation balanced:
10a + 25 – 25 = 35 – 25
→
10a = 10
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Step 4: Solve for “a”
Divide both sides by 10:
10a ÷ 10 = 10 ÷ 10
→
a = 1
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✔ Let’s check our answer by plugging it back into the original equation:
Original: 5 + 10(a + 2) = 35
Plug in a = 1:
5 + 10(1 + 2) = 5 + 10(3) = 5 + 30 = 35
✔
It works!
Final Answer:
a = 1
Parent Tip: Review the logic above to help your child master the concept of solving equations with parentheses worksheet.