Questions and Answers
What is the expression for the perimeter of a rectangle whose length is 5 units longer than the width, w?
4w + 10
What is the expression for the perimeter of a rectangle whose length is 3 units longer than the width, w?
4w + 6
What is the expression for the perimeter of a rectangle whose length is 3 times the width, w?
8w
What is the expression for the perimeter of a rectangle whose length is 2 times the width, w?
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What is the expression for the perimeter of a rectangle whose length is twice its width, w?
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What is the expression for the perimeter of an isosceles triangle where each side is 2 units shorter than the base, b?
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What is the expression for the perimeter of an isosceles triangle where each side is 4 units shorter than the base, b?
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What is the expression for the perimeter of a rectangle whose width is 2 units shorter than the length, l?
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What is the expression for the perimeter of a rectangle whose width is 3 units shorter than the length, l?
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What is the solution for the equation 88 + 5 = n?
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What is the solution for the equation 3 X $12.00 = n?
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What is the solution for the equation 164 / 4 = n?
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What is the solution for the equation 80 - 65 = n?
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What is the solution for the equation 5 X 10 = n?
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What is the solution for the equation 58 - 8 = n?
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What is the solution for the equation 676 + 47 = n?
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What is the solution for the equation 4 X 35 = n?
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What is the solution for the equation 217 / 7 = n?
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What is the solution for the equation 49 - 43 = n?
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What is the solution for the equation 5n = 35?
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What is the cost for 50 people if y = 25n + 350?
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Study Notes
Perimeter of Rectangles
- Expression for perimeter of a rectangle when length is 5 units more than width ( w ): ( 4w + 10 )
- For a rectangle where length is 3 units more than width ( w ): ( 4w + 6 )
- When length is 3 times the width ( w ): ( 8w )
- For length that is 2 times the width ( w ): ( 6w )
- Duplicate condition where length is twice width ( w ) results in: ( 6w )
Perimeter of Isosceles Triangles
- If each side of an isosceles triangle is 2 units shorter than the base ( b ): ( 3b - 4 )
- If each side is 4 units shorter than base ( b ): ( 3b - 8 )
Perimeter of Rectangles with Relation to Length
- If width is 2 units shorter than length ( l ): ( 4l - 4 )
- If width is 3 units shorter than length ( l ): ( 4l - 6 )
Fundamental Algebraic Expressions
- Candy collection: ( 88 + 5 = n ) calculates total candies Lily has after receiving more.
- Ticket cost calculation: ( 3 \times 12 = n ) determines total cost for 3 tickets.
- Soda machine quantity: ( 164 / 4 = n ) reveals number of machines needed for soda distribution.
- Height difference calculation: ( 80 - 65 = n ) finds how much taller Tammy is than Mark.
- Total marbles bought by Jane: ( 5 \times 10 = n ) signifies her purchases over several visits.
- Remaining salads at restaurant: ( 58 - 8 = n ) computes how many salads are still expected to be served.
- Total pumpkins grown over two years: ( 676 + 47 = n ) adds yearly harvest figures.
- Bus capacity calculation: ( 4 \times 35 = n ) assesses how many passengers all buses can carry.
- Parking lot capacity: ( 217 / 7 = n ) distributes car spaces evenly across rows.
- Sunbathers at the beach: ( 49 - 43 = n ) finds how many are sunbathing while some swim.
- Admission costs for amusement park: ( 5n = 35 ) determines the number of entrants with a total budget.
- Hall rental cost equation: ( y = 25n + 350 ) expresses total cost based on guest count, including base fee and per plate charge.
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Description
This quiz focuses on the calculation of perimeters for rectangles and isosceles triangles through various algebraic expressions. It also includes fundamental algebraic concepts and applications in real-life scenarios. Test your understanding of these geometric principles and algebraic expressions.
