Question 1: Simplify Expressions
Simplify the following expressions:
a) 3x + 5x - 2x
b) 2(y + 4) - 3(y - 2)
c) 2a - 3a + 6a - a
d) 4x - 2y + 3x - y
e) 5(2x - 3) - 2(3x + 1)
Question 2: Solve for 'x'
Solve for 'x' in the equations:
a) 3x - 8 = 13
b) 2x + 7 = 3x - 5
c) 4(x + 2) = 20
d) 5x/2 = 7
e) 2(2x - 1) = 18
Question 3: Distributive Property
Apply the distributive property to expand the expressions:
a) Expand the following expressions:
i) 3(2x + 4)
ii) -2(5y - 7)
, b) Simplify the expressions using the distributive property:
i) 4(x - 3)
ii) -2(3a + 2b)
c) Distribute and simplify:
i) 2(3x - 5)
ii) -3(4y + 6)
d) Expand these expressions:
i) 5(2a - 7)
ii) -2(b - 3c)
Question 4: Combining Like Terms
a) Combine like terms in the expressions:
i) 3x + 2y - 5x + 4y
ii) 2a²b - ab + 5a²b - 3ab
b) Combine like terms in the expressions:
i) 6x² - 2x - 3x² + 8x
ii) 4p + 2q - 3p - 5q + 7p
Question 5: Word Problems
Solve the word problems: