Warm Ups Week 3.

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Presentation transcript:

Warm Ups Week 3

L.T. I can use precise language, domain-specific vocab & techniques Monday L.T. I can use precise language, domain-specific vocab & techniques

Emigrate vs Immigrate Emigrate: to leave one country for another country. It is usually used with the preposition “from” (Emigrate = Exit) Ex: Many people emigrated from Europe in search of better living conditions and religious freedom. Immigrate: to enter a country to take up permanent residence there. It is usually used with the preposition “to” (Immigrate = In) Ex: They immigrated to North America to escape the tyrannical dictator.

Eminent vs Imminent Eminent: Someone who is prominent or outstanding Ex: The eminent archeologist Dr. Wong has identified the artifact as prehistoric in origin. Imminent: Something that is likely to happen soon or is impending Ex: After being warned that the hurricane’s arrival was imminent, beachfront residents left their homes immediately.

L.T. I can use a calculator to solve linear equations Tuesday L.T. I can use a calculator to solve linear equations

Linear Equations 110 pts Darien needs to buy several white dress shirts for his new job. He finds one he likes for $35 that is on sale for 40% off. He also likes a blue tie that costs $21. Which of the following represents the total cost, not including tax, if Darien buys x of the white shirts that are on sale and two of the blue ties? C= 14x + 42 C= 21x + 21 C = 21x + 42 C = 35x + 42

Darien needs to buy several white dress shirts for hi new job Darien needs to buy several white dress shirts for hi new job. He finds one he likes for $35 that is on sale for 40% off. He also like a blue tie that costs $21. Which of the following represents the total cost, not including tax, if Darien buys x of the white shirts that are on sale and two of the blue ties? C= 14x + 42 C= 21x + 21 C = 21x + 42 C = 35x + 42

Reasoning Keep in mind that the shirts are on sale, but the tie is NOT! The shirts are 40% off, which means that Darien pays only 100-40= 60% of the price, or .6(35). If he buys x shirts, the cost is .6(35)x. He also buys two ties, which cost $21 each. This means the total cost is C=.6(35)x + 21(2). Simplified, this is C= 21x + 42

Please look over all your notes and highlight key info to remember! Wednesday Please look over all your notes and highlight key info to remember!

L.T. I can solve a proportion problem Thursday L.T. I can solve a proportion problem

Rates, ratios, proportions & % 80 pts. A graphic designer created an image for a school banner. He uses this image for small and medium banners. To produce a large banner, the designer increases the size of the image by 112.5% to 18inches tall by 22.5 inches wide. What was the size of the original image? A)15 inches by 17.5 inches B) 15 inches by 18 inches C) 16 inches by 18.5 inches D) 16 inches by 20 inches

Rates, ratios, proportions & % 80 pts. A graphic designer created an image for a school banner. He uses this image for small and medium banners. To produce a large banner, the designer increases the size of the image by 112.5% to 18inches tall by 22.5 inches wide. What was the size of the original image? A)15 inches by 17.5 inches B) 15 inches by 18 inches C) 16 inches by 18.5 inches D) 16 inches by 20 inches

Reasoning You’re looking for dimensions that, when multiplied by 112.5% The result is 18 inches by 22 inches. Start with A: 1.125 x 15 = 16.875, so you can eliminate both A & B. Move on to C: 1.125x16 = 18, but 1.125 x 18.5= 20.8125, so D is the correct answer!

L.T. I can solve an equation that uses exponents Friday L.T. I can solve an equation that uses exponents

Exponents 80 pts Which of the following is equivalent to the expression (2x4-5x4)2 -21x8 -6x8 9x8 9x16

Exponents 80 pts Which of the following is equivalent to the expression (2x4-5x4)2 -21x8 -6x8 9x8 9x16

Reasoning When a quantity is squared, don’t immediately start FOILing. Look for like terms that you can combine first. Then follow the rules of exponents or use repeated multiplication to evaluate the power. (2x4-5x4)2 =(-3x4)2 = (-3)2(x4)2 = 9 * x(4x2) = 9x8