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Choose two-step equations: word problems

desmos\newlineUnit A11.88, Lesson 44: Form Up\newlineName \qquad Anina.\newlineActivity 11: Spotting Similarities\newlineHere are three groups of expressions.\newline\begin{tabular}{|c|c|c|}\newline\hline Group 11 & Group 22 & Group 33 \\\newline\hline 4x2−25 4 x^{2}-25 & 8x2+32x+24 8 x^{2}+32 x+24 & x2−6x−27 x^{2}-6 x-27 \\\newlinex2−36 x^{2}-36 & 4x2−8x−32 4 x^{2}-8 x-32 & x2+2x−80 x^{2}+2 x-80 \\\newlinex2−100 x^{2}-100 & 10x2+20x+10 10 x^{2}+20 x+10 & x2−13x+30 x^{2}-13 x+30 \\\newline4x2−25 4 x^{2}-25 00 & 4x2−25 4 x^{2}-25 11 & 4x2−25 4 x^{2}-25 22 \\\newline\hline\newline\end{tabular}\newline11. Explain how the expressions in each group are alike.\newlineGroup 11:\newlineGroup 22:\newlineGroup 33:
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Name\newline-..\newlineDate\newlineMixed Operatione Fraotion\newline11. Rob measures the weight of one jor of peanut butter, and it weighs 34 \frac{3}{4} of pound \qquad Workeheot C \mathrm{C} \newlineHow much do 66 jors of peonut bulter weigh\newline22 Brian is going apple pieking he pieks one baskel that weighs 44 pounds, and another bosket that weighs 33 fipsunds in ali?\newline34×1824912(34 \frac{3}{4} \times \frac{18}{24} \frac{9}{12}\left(\frac{3}{4}\right. \newlineHow many pounds of apples does Brian have in ati?\newline33. Ryon has 525 5 \frac{2}{5} feet of lumber. He uses 223 2 \frac{2}{3} feet for a project.\newline44. Ashley has 234 2 \frac{3}{4} pounds of butter. She utes 23 \frac{2}{3} of the butter in a recipe.\newlineHow many feet of lumber does he have\newline5615525−223×21015(115 5 \frac{6}{15} 5 \frac{2}{5}-2 \frac{2}{3} \times 2 \frac{10}{15}\left(\frac{1}{15}\right. \newlineHow much butter will she have lefiover
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Four students each flipped a coin 5050 times and recorded the results in the table.\newline\begin{tabular}{|c|c|c|}\newline\hline Student & Heads & Tails \\\newline\hline Mai Ka & 3131 & 1919 \\\newline\hline Heather & 1515 & 3535 \\\newline\hline Jose & 2121 & 2929 \\\newline\hline Tyrone & 2020 & 3030 \\\newline\hline\newline\end{tabular}\newlineWho had a relative frequency of 35 \frac{3}{5} of flipping tails?
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C) \newline−42−[(−30)+(−50)]-42-[(-30)+(-50)]\newline22. \newline[−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)\newline33. Complete the following sequences.\newlineb. \newline0,−5,−10,−15,…… .,−25,0,-5,-10,-15,\dots \dots.,-25,\newlinea. \newline1,4,7,10,1,4,7,10,\newlined. \newline−8000,−4000,-8000,-4000, \newline\qquad \newline4000(4)4000_{(4)} \newline\qquad \newline120(0)120(0)\newlinec. \newline−28,−17,−6,16,-28,-17,-6, 16,\newlinec. \newline[−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)00 Write a pair of negative integers which has the difference as the following.\newline[−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)11 [−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)22\newline[−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)11 [−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)44\newlineWrite a pair of integers which has the sum as the following.\newline[−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)55\newlineb/ a negative number\newline[−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)66\newline66.) Subtract the sum of [−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)77 and [−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)88 from [−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20)[-437-1+8]+[234-(-10)]-[15+(-17)]\quad509-(-19)+(-19)+20+(-20)99.\newlineSubtract 0,−5,−10,−15,…… .,−25,0,-5,-10,-15,\dots \dots.,-25,00 from the sum of 0,−5,−10,−15,…… .,−25,0,-5,-10,-15,\dots \dots.,-25,11 and 0,−5,−10,−15,…… .,−25,0,-5,-10,-15,\dots \dots.,-25,22.\newline88 Find the additive inverse of the following numbers.
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A. Subtract the following.\newline(11) −68-68 from −30-30\newline(11.) 57005700 from −5700-5700\newline(b.) −42-42 from 88\newlineC. 591591 from 10911091\newlinev. −48-48 from 00\newline‥ 1717 from −38-38\newline−1-1. 00 from −67-67\newlinei. −17-17 from 5757\newline(22) Evaluate the following.\newline(.) 15−(−25) 15-(-25) \newlineC) −42−[(−30)+(−50)] -42-[(-30)+(-50)] \newlineb. 9+23−(−25)−40 9+23-(-25)-40 \newline11. [−437−1+8]+[234−(−10)]−[15+(−17)] [-437-1+8]+[234-(-10)]-[15+(-17)] \newlineง. (−30+10)−(40−20) (-30+10)-(40-20) \newline509−(−19)+(−19)+20+(−20) 509-(-19)+(-19)+20+(-20)
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C) −42−[(−30)+(−50)] -42-[(-30)+(-50)] \newline22. [−437−1+8]+[234−(−10)]−[15+(−17)]509−(−19)+(−19)+20+(−20) [-437-1+8]+[234-(-10)]-[15+(-17)] \quad 509-(-19)+(-19)+20+(-20) \newline33. Complete the following sequences.\newlineb. 0,−5,−10,−15,……,−25 0,-5,-10,-15, \ldots \ldots,-25 ,\newlinea. 1,4,7,10 1,4,7,10 ,\newlined. −8000,−4000 -8000,-4000 , \qquad 40004000\newlinec. −28,−17,−6 -28,-17,-6 , 1616,\newlinec. −108,−118,−128 -108,-118,-128 ,\newlineWrite a pair of negative integers which has the difference as the following.\newline๗๗. 55\newlineพ. −2-2\newline11. 00\newlineWrite a pair of integers which has the sum as the following.\newline11. +100100\newlineb/ a negative number\newline00\newline66.) Subtract the sum of 3838 and 9797 from 237237.\newline55. Subtract −48-48 from the sum of −34-34 and −49-49 .\newline88 Find the additive inverse of the following numbers.
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4040 以内数的减法\newline40−17=2333−21=36−19=1136−20=1637−16=2138−22=1632−14=2239−20=19134−17=1740−19=1140−19=1931−15=1635−20=1532−13=1928−24=1437−17=2040−27=1331−20=1736−18=1838−26=1239−19=2039−29=1040−23=1736−23=13 \begin{array}{ll} 40-17=23 & 33-21= \\ 36-19=11 & 36-20=16 \\ 37-16=21 & 38-22=16 \\ 32-14=22 & 39-20=19 \\ 134-17=17 & 40-19=11 \\ 40-19=19 & 31-15=16 \\ 35-20=15 & 32-13=19 \\ 28-24=14 & 37-17=20 \\ 40-27=13 & 31-20=17 \\ 36-18=18 & 38-26=12 \\ 39-19=20 & 39-29=10 \\ 40-23=17 & 36-23=13 \end{array}
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