The letter J stands for Jake’s age, in years. (a) Fill in the table by writing an algebraic term, in terms of J, to match each description. Two have already been filled in for you. Description Algebraic term Jake’s age now. J Jake’s age in 2 years’ time. J + 2 Jake’s age in 5 years’ time. Jake’s age 4 years ago. Twice Jake’s age. One third of Jake’s age. (b) Solve this equation: 5M + 2 = 2M + 35.

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The letter J stands for Jake’s age, in years - Junior Cycle Mathematics - Question 12 - 2016

Question 12

The letter J stands for Jake’s age, in years. (a) Fill in the table by writing an algebraic term, in terms of J, to match each description. Two have already been fi... show full transcript

Worked Solution & Example Answer:The letter J stands for Jake’s age, in years - Junior Cycle Mathematics - Question 12 - 2016

Step 1

Jake’s age in 5 years’ time.

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Answer

In 5 years, Jake will be 5 years older than he is now, which can be represented as:

$J + 5$

Step 2

Jake’s age 4 years ago.

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Answer

Jake’s age 4 years ago can be calculated by subtracting 4 from his current age:

$J - 4$

Step 3

Twice Jake’s age.

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Answer

Twice Jake’s age can be expressed as:

$2J$

Step 4

One third of Jake’s age.

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Answer

One third of Jake’s age is represented as:

$\frac{1}{3}J$

Step 5

Solve this equation: 5M + 2 = 2M + 35.

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Answer

To solve the equation, follow these steps:

Start with the original equation:

$5M + 2 = 2M + 35$

Rearranging the equation by subtracting $2M$ from both sides gives:

$5M - 2M + 2 = 35$

This simplifies to:

$3M + 2 = 35$

Next, subtract 2 from both sides:

$3M = 33$

Finally, divide by 3 to solve for M:

$M = 11$

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