Question

3 simply
a) $2x + 3y + 4x$ _______ b) $6m + 2n + 3m$ _____ c) $a + 8a + a$ _____
d) $3a + 2b + 4a + 2b$ ____ e) $8t + 4w - 6t + 2w$ ___ c) $9p + 3q - 7p + 2q$ _
4 simplifying these expressions may involve negative numbers
a) $10a - 3a$ ________________ b) $3a - 10a$ ________________
c) $12a - 7a$ ________________ d) $8x - (-2x)$ ________________
c) $6a - 7a$ ________________ d) $-3x - (-2x)$ ________________
5 simplifying these expressions by collecting like terms
a) $5x + 2y - 4x$ _____________ b) $9m + 4n - 5n$ _____________
c) $-8p + 7pq - 2p$ ____________ d) $5 - 2x^2 + x^2$ ____________

Explanation:

3a) Step1: Identify like terms (2x and 4x)

$2x + 4x + 3y$

3a) Step2: Combine like terms

$6x + 3y$

3b) Step1: Identify like terms (6m and 3m)

$6m + 3m + 2n$

3b) Step2: Combine like terms

$9m + 2n$

3c) Step1: Identify like terms (a, 8a, a)

$a + 8a + a$

3c) Step2: Combine like terms

$10a$

3d) Step1: Identify like terms (3a and 4a; 2b and 2b)

$3a + 4a + 2b + 2b$

3d) Step2: Combine like terms

$7a + 4b$

3e) Step1: Identify like terms (8t and -6t; 4w and 2w)

$8t - 6t + 4w + 2w$

3e) Step2: Combine like terms

$2t + 6w$

3f) Step1: Identify like terms (9p and -7p; 3q and 2q)

$9p - 7p + 3q + 2q$

3f) Step2: Combine like terms

$2p + 5q$

4a) Step1: Identify like terms (10a and -3a)

$10a - 3a$

4a) Step2: Combine like terms

$7a$

4b) Step1: Identify like terms (3a and -10a)

$3a - 10a$

4b) Step2: Combine like terms

$-7a$

4c) Step1: Identify like terms (12a and -7a)

$12a - 7a$

4c) Step2: Combine like terms

$5a$

4d) Step1: Simplify double negative: $-(-2x)=2x$

$8x + 2x$

4d) Step2: Combine like terms

$10x$

4e) Step1: Identify like terms (6a and -7a)

$6a - 7a$

4e) Step2: Combine like terms

$-a$

4f) Step1: Simplify double negative: $-(-2x)=2x$

$-3x + 2x$

4f) Step2: Combine like terms

$-x$

5a) Step1: Identify like terms (5x and -4x)

$5x - 4x + 2y$

5a) Step2: Combine like terms

$x + 2y$

5b) Step1: Identify like terms (4n and -5n)

$9m + 4n - 5n$

5b) Step2: Combine like terms

$9m - n$

5c) Step1: Identify like terms (-8p and -2p)

$-8p - 2p + 7pq$

5c) Step2: Combine like terms

$-10p + 7pq$

5d) Step1: Identify like terms (-2x² and x²)

$5 - 2x² + x²$

5d) Step2: Combine like terms

$5 - x²$

Answer:

s:
3a) $\boldsymbol{6x + 3y}$
3b) $\boldsymbol{9m + 2n}$
3c) $\boldsymbol{10a}$
3d) $\boldsymbol{7a + 4b}$
3e) $\boldsymbol{2t + 6w}$
3f) $\boldsymbol{2p + 5q}$
4a) $\boldsymbol{7a}$
4b) $\boldsymbol{-7a}$
4c) $\boldsymbol{5a}$
4d) $\boldsymbol{10x}$
4e) $\boldsymbol{-a}$
4f) $\boldsymbol{-x}$
5a) $\boldsymbol{x + 2y}$
5b) $\boldsymbol{9m - n}$
5c) $\boldsymbol{-10p + 7pq}$
5d) $\boldsymbol{5 - x²}$