Question 13
(a) Simplify
$$2a - 5n + 2n + 6a.$$
(b)
y = \frac{3n + 70}{5}
Work out the value of y when n = 10 - Junior Cycle Mathematics - Question 13 - 2022
Question 13
Question 13
(a) Simplify
$$2a - 5n + 2n + 6a.$$
(b)
y = \frac{3n + 70}{5}
Work out the value of y when n = 10.
(c) Factorise the quadratic expression
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Worked Solution & Example Answer:Question 13
(a) Simplify
$$2a - 5n + 2n + 6a.$$
(b)
y = \frac{3n + 70}{5}
Work out the value of y when n = 10 - Junior Cycle Mathematics - Question 13 - 2022
Step 1
Simplify 2a - 5n + 2n + 6a
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Answer
To simplify the expression, combine like terms:
Combine the terms with a:
2a+6a=8a.
Combine the terms with n:
−5n+2n=−3n.
Thus, the simplified expression is:
8a−3n.
Step 2
Work out the value of y when n = 10
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Answer
Substituting n = 10 into the equation:
y=53(10)+70.
Calculating inside the numerator:
3(10)+70=30+70=100.
Now dividing by 5:
y=5100=20.
Therefore, when n = 10, the value of y is 20.
Step 3
Factorise the quadratic expression x^2 - 7x + 12
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Answer
To factor the quadratic expression, find two numbers that multiply to 12 and add to -7. The numbers -3 and -4 satisfy these conditions. Thus, we can write:
x2−7x+12=(x−3)(x−4).
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