Algebraic expressions
Answers are for parents and teachers.
1
Find the value of 2a² - 3a + 1 for a = -2.
15
2
Simplify (x + 3)² - (x - 3)².
12x
3
Write the product of two consecutive natural numbers, the larger being m, as an expression.
m(m - 1)
4
A class has x boys and y girls. If each gets 3 notebooks, how many notebooks are needed? Write an expression.
3(x + y)
5
Why is the sum of three consecutive natural numbers always divisible by 3?
n + (n + 1) + (n + 2) = 3n + 3 = 3(n + 1), which is a multiple of 3.