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Warm-up Solve. 1. 8x – 9 = 23 2. 9x + 12 = 4x + 37 3. 6x – 8 = 7x + 3
x = – , or –5 3
More practice 5. 25 = -5x -10 6. -4x – 8 = -2x + 24
Solve. 5. 25 = -5x -10 6. -4x – 8 = -2x + 24 7. 6x – 14 = -2(x + 3) x = -7 x = -16 x = 1
How do I use order of operations to solve for a specified value?
GSE Algebra I UNIT QUESTION: Why is it important to understand the relationship between quantities? Standard: MCC9-12.N.Q.1-3, MCC9-12.A.SSE.1, MCC9-12.A.CED.1-4 Today’s Question: How do I use order of operations to solve for a specified value? Standard: MCC9-12.A.CED.4
Solving Equations and Formulas
Objectives: Solve literal equations (formulas) for a specified variable Apply these skills to solve practical problems
Definitions: An equation is a mathematical sentence that contains an equal sign ( = ). Ex: y = 3x A formula is an equation that states a rule for the relationship between certain quantities. Ex: A = lw What do A, l, and w stand for?
What it means to solve: To solve for x would mean to get x by itself on one side of the equation, with no x’s on the other side. (x = __ ) Similarly, to solve for y would mean to get y by itself on one side of the equation, with no y’s on the other side. (y = __ )
The DO-UNDO chart 1) Solve the equation -5x + y = -56 for x.
Ask yourself: What is the first thing being done to x, the variable being solved for? x is being multiplied by DO UNDO · y What is being done next? y ÷(-5) y is being added to -5x.
Show all of your work! First, subtract y from both sides of the equation. Next, divide by -5. This process actually requires LESS WORK than solving equations in one variable Ex: -5x + y = -56 - y -y -5x = y x = y = 56 + y
Let’s try another: Ex: Solve 2x - 4y = 7 for x.
Complete the do-undo chart. DO UNDO +4y + 4y 2x = 7 + 4y + 4y ÷ 2 x 2 - 4y x = 7 + 4y 2 This fraction cannot be simplified unless both terms in the numerator are divisible by 2.
Another example: Solve a(y + 1) = b for y. Complete the do-undo chart.
a a ÷ a - 1 y + 1 = b a + 1 x a y = b - 1 a
Try a few on your own. Solve P = 1.2W for W. H2
Solve P = 2l + 2w for l. Solve F = 9C + 32 for C. 5
The answers: DO UNDO · 1.2 · H2 ÷ H2 ÷ 1.2 W = PH2 1.2 DO UNDO · 2 -2w
l = P - 2w 2
The answers: DO UNDO x 9/5 - 32 + 32 ÷9/5 or times 5/9 C = 5 (F – 32)
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