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Solve 3x=-18 b+21=11 Simplify the Expression 3(x+2)-4x=1

Learn how to solve two-step equations with step-by-step instructions and examples. Practice solving equations and improve your math skills.

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Solve 3x=-18 b+21=11 Simplify the Expression 3(x+2)-4x=1

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  1. Bellwork • Solve • 3x=-18 • b+21=11 • Simplify the Expression • 3(x+2)-4x=1 • There are three times as many goats as sheep at the petting zoo. Find the number of sheep if the total number of goats and sheep is 28.

  2. Bellwork Solution • Solve • 3x=-18

  3. Bellwork Solution • Solve • B+21=11

  4. Bellwork Solution • Simplify the Expression • 3(x+2)-4x-1

  5. Bellwork Solution There are three times as many goats as sheep at the petting zoo. Find the number of sheep if the total number of goats and sheep is 28.

  6. A reminder • I got a questionable report yesterday. I would like to remind you of your responsibility as students. • As a believer in Free Will, I believe in your right to choose not to learn. If you do choose this, then do so quietly, so that those who are interested in learning are able to do so • If I get a similar report today, points will be taken from the class as per our discussion. • I trust that you will make the right decisions regarding your behavior…

  7. Solving Two-Step Equations Section 3.2

  8. Addition and Subtraction Property (review) • Addition Property • Adding the same number to each side of an equation produces an equivalent equation • If x-a=b, then x-a+a=b+a, or x=b+a • Subtraction Property • Subtracting the same number to each side of an equation produces an equivalent equation • If x+a=b, then x+a-a=b-a, or x=b-a

  9. Multiplication & Division Property (review) • Multiplication Property • Multiplying each side of an equation by the same nonzero number produces an equivalent equation • Division Property • Dividing each side of an equation by the same non-zero number produces an equivalent equation

  10. Order of Operations • For Problems • Parenthesis • Exponents • Multiplication/Division • Addition/Subtraction Because we are working to undo the arithmetic on the variable we follow the reverse order of operations • For Equations • Addition/Subtraction • Multiplication/Division • Exponents • Parenthesis

  11. Examples Addition/ Subtraction first Multiplication/ Division Second

  12. Steps for Solving an Equation • Follow these steps • Simplify Equation • (Leave this one blank, we’ll add it later) • Work to Isolate your variable • Opposite Order of Operations • Addition/Subtraction • Multiplication/Division • Exponents • Parenthesis • Check your Solution Important Reminders What you do to one side, you do to both sides You are working to isolate your variable

  13. Practical Example • Using formulas • Example 4, page 143 • As a SCUBA diver descends into deeper water, the pressure of the water on the diver’s body steadily increases. The pressure at the surface of the water is 2117 pounds per square foot. The pressure increases at a rate of 64 pounds per square foot for each foot the diver descends. Find the depth at which a diver experiences a pressure of 8517 pounds per square foot.

  14. Homework • 3.2 • 1-41 odd, 46-51

  15. Most Important Points • Steps for solving two step equations utilizing reverse order of operations • Total is equal to initial plus additional

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