Solving Multi-Step Equations in Word Problems

The video tutorial covers solving perimeter problems involving rectangles and word problems using algebra. It begins with an introduction to perimeter concepts, followed by step-by-step solutions to problems involving rectangles. The tutorial then addresses word problems, including scenarios with Maria and Chris's money and finding two numbers based on given conditions. The focus is on translating word problems into algebraic equations and solving them.

What is the perimeter of a rectangle?

• The length of one side

• The difference between the length and width

• The sum of all its sides

• The area of the rectangle

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CCSS.4.MD.A.3

If the length of a rectangle is six inches more than its width and the perimeter is 24 inches, what is the width?

• 9 inches

• 4 inches

• 3 inches

• 6 inches

Given the same rectangle with a perimeter of 24 inches, what is the length?

• 3 inches

• 9 inches

• 6 inches

• 12 inches

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CCSS.4.MD.A.3

If the length of a rectangle is three centimeters less than twice its width and the perimeter is 90 centimeters, what is the width?

• 20 cm

• 18 cm

• 16 cm

• 22 cm

For the same rectangle with a perimeter of 90 centimeters, what is the length?

• 32 cm

• 35 cm

• 29 cm

• 26 cm

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CCSS.4.MD.A.3

Maria has 12 dollars more than Chris. Together they have 72 dollars. How much does Chris have?

• 30 dollars

• 25 dollars

• 20 dollars

• 35 dollars

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CCSS.8.EE.C.8C

Given the same scenario, how much does Maria have?

• 45 dollars

• 30 dollars

• 40 dollars

• 42 dollars

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CCSS.6.EE.B.6

The larger of two numbers is seven less than three times the smaller number. If their sum is 61, what is the smaller number?

• 21

• 19

• 17

• 15

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CCSS.8.EE.C.8C

For the same problem, what is the larger number?

• 42

• 44

• 41

• 43

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CCSS.1.NBT.B.3

What is the first step in solving problems involving the perimeter of rectangles?

• Finding the area

• Setting up an equation

• Combining like terms

• Drawing the rectangle

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CCSS.8.EE.C.7B