Question

1 simplify each expression
a) 5x + 3x

b) 2y + 7y

c) 4m + 2m

d) 2n + 7n

e) 20x² - 14x²

f) 5xy + 7xy

g) 8pq + 6pq

h) 9mn - 7mn

i) 7xy + 9xy

2 simplify
a) 5a + 2a + 3a

b) 10y - 3y + 2y

c) 5m² + 2m² + 4m²

d) 7a + 3a + 2a + 6a

e) 6k + 3k - 2k + k

c) 7p - 4p - 2

Explanation:

Step1: Simplify 5x + 3x

Combine like terms: \(5x + 3x = (5 + 3)x = 8x\)

Step2: Simplify 2y + 7y

Combine like terms: \(2y + 7y = (2 + 7)y = 9y\)

Step3: Simplify 4m + 2m

Combine like terms: \(4m + 2m = (4 + 2)m = 6m\)

Step4: Simplify 2n + 7n

Combine like terms: \(2n + 7n = (2 + 7)n = 9n\)

Step5: Simplify \(20x^2 - 14x^2\)

Combine like terms: \(20x^2 - 14x^2 = (20 - 14)x^2 = 6x^2\)

Step6: Simplify 5xy + 7xy

Combine like terms: \(5xy + 7xy = (5 + 7)xy = 12xy\)

Step7: Simplify 8pq + 6pq

Combine like terms: \(8pq + 6pq = (8 + 6)pq = 14pq\)

Step8: Simplify 9mn - 7mn

Combine like terms: \(9mn - 7mn = (9 - 7)mn = 2mn\)

Step9: Simplify 7xy + 9xy

Combine like terms: \(7xy + 9xy = (7 + 9)xy = 16xy\)

Step10: Simplify 5a + 2a + 3a

Combine like terms: \(5a + 2a + 3a = (5 + 2 + 3)a = 10a\)

Step11: Simplify 10y - 3y + 2y

Combine like terms: \(10y - 3y + 2y = (10 - 3 + 2)y = 9y\)

Step12: Simplify \(5m^2 + 2m^2 + 4m^2\)

Combine like terms: \(5m^2 + 2m^2 + 4m^2 = (5 + 2 + 4)m^2 = 11m^2\)

Step13: Simplify 7a + 3a + 2a + 6a

Combine like terms: \(7a + 3a + 2a + 6a = (7 + 3 + 2 + 6)a = 18a\)

Step14: Simplify 6k + 3k - 2k + k

Combine like terms: \(6k + 3k - 2k + k = (6 + 3 - 2 + 1)k = 8k\)

Step15: Simplify 7p - 4p - 2

Combine like terms: \(7p - 4p - 2 = (7 - 4)p - 2 = 3p - 2\)

Answer:

a) \(8x\)
b) \(9y\)
c) \(6m\)
d) \(9n\)
e) \(6x^2\)
f) \(12xy\)
g) \(14pq\)
h) \(2mn\)
i) \(16xy\)
a) \(10a\)
b) \(9y\)
c) \(11m^2\)
d) \(18a\)
e) \(8k\)
c) \(3p - 2\)