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Algebraic Expressions and Calculations: A Comprehensive Overview

This document covers various mathematical concepts, including algebraic inequalities, expressions, and geometry. It starts by checking the validity of a mathematical statement, translates verbal statements into algebraic expressions, and addresses real-world applications, such as calculating the total number of items. Additionally, it delves into perimeter and area calculations of different shapes, analyzing the relationship between spending, profit, and pricing. Each problem encourages logical reasoning and demonstrates practical applications of algebra in daily scenarios.

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Algebraic Expressions and Calculations: A Comprehensive Overview

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  1. Check whether 5 makes the statement true. 1) 4x+8 ------ + 1 ≥ X (2x-3) 2) (X-5) > 0! 3) Translate to an algebraic expression: “The total number of button up shirts and ties Mr. Martin has is at least 20” 4) There are 5 packs of Zebra cakes in a box. Each pack contains 2 zebra cakes. Suppose Mr. Martin can eat 2 boxes of zebra cakes per hour. How many individual zebra cakes can he eat per minute?

  2. 1.5 Pg.28-33 #3-30 e3

  3. 3) You know: The amount you spent on materials; The amount of profit you want to makeYou need to know: The amount to charge per collar to reach this profit.Missing Information: The number of collars made. The perimeter of a rectangle is not just length plus width; It is 2L + 2W; 2(200) + 2(150) 400 + 300 = 700 $10(700) = $7000;

  4. P = I – E 12) D; d = rt = 55(2.5) = 137.5 15) Area of the print: A = S2 = 82 = 64 in2 Area of the frame and print: A = S2 = (8+ 2* (5/4))2 = 10.52 = 110.25 in2Area of the frame and print – Area of print = JUST FRAME110.25 – 64 = 46.25 in2

  5. 18) Area of large pan = LW = (16)(14) = 224in2 Area of small pan = LW = (15.5)(10) = 155in2 0.15(224) = 33.6 oz 0.15(155) = 23.25 oz 33.6 – 23.25 = 10.35 oz You need 10.35 ounces more dough to make a thick crust pizza in the largepan 21a) Side Length (ft) 1 2 3 4 5 6 Remaining area 431 428 423 416 407 396 21a) Area of the room = LW = (24 * 18) = 432; 432 -s2 ≥ 400 The greatest possible side length of the closet floor is 5 feet.

  6. 24) 17/20; 85% 27) 7/1000; 0.7% 30) 22/h

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