Solving Systems of Equations Part 2

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Presentation transcript:

Solving Systems of Equations Part 2 Literal Equations – Reviewing and Foreshadowing

Common Core Algebra 1 #15, #16, #17 Rearrange formulas to highlight a quantity of interest USING the same reasoning as solving equations.

NOTEBOOK EXAMPLES (1) 2x + 3y = 9 for y (2) 4x – 7y = 7 for x For each of the problems below, solve for the given variable. Show each step needed to justify your answer. (1) 2x + 3y = 9 for y (2) 4x – 7y = 7 for x (3) ax + by = c for y

ANSWERS (1) 2x + 3y = 9 for y y = 9 – 2x/3 (2) 4x – 7y = 7 for x (3) ax + by = c for y y = c – ax/b

NOTEBOOK EXAMPLES (4) I = prt for p (5) F = ma for a For each of the problems below, solve for the given variable. Show each step needed to justify your answer. (4) I = prt for p (5) F = ma for a (6) T = p + prt for p

ANSWERS (4) I = prt for p p = I/rt (5) F = ma for a a = F/m (6) T = p + prt for p p = T/1 + rt

NOTEBOOK EXAMPLES (7) p = 2l + 2w for w (8) y = mx + b for m For each of the problems below, solve for the given variable. Show each step needed to justify your answer. (7) p = 2l + 2w for w (8) y = mx + b for m (9) A = ½h(b₁ + b₂) for h

Answers (7) p = 2l + 2w for w w = p – 2l/2 (8) y = mx + b for m m = y – b/x (9) A = ½h(b₁ + b₂) for h h = 2A/b₁ +b₂

YOU TRY THESE (10) p = 2l + 2w for l (11) I = prt for r For each of the problems below, solve for the given variable. Show each step needed to justify your answer. (10) p = 2l + 2w for l (11) I = prt for r (12) L = a + (n + 1)d for d

ANSWERS (10) p = 2l + 2w for l l = p -2w/2 (11) I = prt for r r = I/pt (12) L = a + (n + 1)d for d d = L – a/n + 1

BIG DOG (13) m = y - y₁ for y x - x₁ For each of the problems below, solve for the given variable. Show each step needed to justify your answer. (13) m = y - y₁ for y x - x₁

ANSWER (13) m = y - y₁ for y x - x₁ y = m(x - x₁) + y₁ What is this also called? Point Slope form