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In this detailed guide, learn how to effectively solve algebraic substitution problems with clear, step-by-step methods. We cover a variety of problems including the evaluation of expressions using BODMAS rules, substituting variables into formulas, and finding specific values based on given conditions. Each problem is resolved systematically, demonstrating how to plug in values and simplify expressions. Ideal for students looking to enhance their understanding of algebraic techniques, this resource is comprehensive and easy to follow.
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ALGEBRAIC SUBSTITUTION Step 1 Write down the question Step 2 Plug in the numbers Step 3 Use BODMAS Work down, Show all steps
Problem 1 Given the formula P=K2W, find the value of P if K=5 and W=-3.
Problem 2 If V=lwh, what is the value of V when l=2, w=3, and h=4x?
Problem 3 If x=1 and y=-2, which expression has a value of 3? (1)x=y (2)x-y (3)xy (4)y-x
Problem 4 If a=1 and b=-2, find the value of (a+b)2.
Problem 5 Using the formula V=x 2h, find V when x=6 and h=2
Problem 6 Evaluate the expression (6a)2b if a=2 and b=-1
Problem 7 Find the value of 3a-4b if a=-2 and b=1.
Problem 8 Find the value of (x2-5x+4) if x=7.
Problem 9 Evaluate 5a2-b if a=-2 and b=3.
Problem 10 Find the value of the expression 3x3 when x=-2
Problem 11 What is the value of R2S if R=5 and S=-2.
Problem 12 Evaluate the expression 3x2 +y if x=1 and y=-3.
Problem 13 Find the value of the expression 2xy3 if x=3 and y=-2
Problem 14 Find the value of 5x2 if x=-3.
Problem 15 If x=-3 and y=2, find the value of (xy)2.
Problem 16 Evaluate the expression x2+3y if x=-2 and y=-3.
Problem 17 If x=3 and y=-2, find the value of 4xy2.
Problem 18 Find the value of 3(ab)2 if a=2 and b=-1.
Problem 19 Find the value of 2x2y if x=3 and y=-1.
Problem 20 Find the value of a2-b if a=3 and b=-4.