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# Day1 translating verbal_phrases

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### Day1 translating verbal_phrases

1. 1. Day 1: Translating Verbal Phrases Variable Algebra A letter that is used Day 1 to represent one or Translating Verbal Phrases and sentences more numbers. Example In the expression m+5, the letter m is the variable Evaluate a variable expression Equation Substituting a value for each A mathematical sentence variable in the expression and formed by setting two simplifying the resulting numerical expression expressions equal Example Example Evaluating 2x+3y when 3x6=18 x=1 and y=4 x+7 gives 2(1)+3(4) are equations 2+12=14 Solution of an equation Finding all solutions of the equation by using mental math of the properties of equality Example The solution of the equation n-3=4 is 7
2. 2. Day 1: Translating Verbal Phrases Homework Homework the product of 6 and w is 42 6w = 42 the product of 6 and w is 42 X = The sum of n and 8 n+8 The sum of n and 8 + 1/3 of y 1/3y 1/3 of y X 12 decreased by the quotient of x and 2 12 decreased by the quotient of x and 2 - 12 - (x/2) Homework Homework twice a number 2n twice a number x 3 times x equals 12 3x = 12 3 times x equals 12 x = the difference of c and 11 will be 22 c - 11 = 22 the difference of c and 11 will be 22 - = seven equals n less than 13 7 = 13 - n seven equals n less than 13 = - Writing Expressions Wednesdays Homework The sum of 8 and twice a number 8 + 2x A number increased by 5 2/3 of a number decreased by 14 2/3x - 14 7 less than a number -8 increased by the quotient of 13 and a number -8 + (13/x) 3 more than twice a number The difference of -2 and a number equals 15 -2 - y = 15 4 decreased by the quotient The sum of twice a number and 14 is -8 2y + 14 = -8 of a number and 7 3/4 of a number decreased by -2 is 24 3/4y - (-2) = 24 2x + 3 x + 5 x - 7 4 - x/7
3. 3. Day 1: Translating Verbal Phrases Writing Equations Word Problem 16 increased by a number is 27 The population of Alexandria, Virginia increased by 17,000 The product of 1/2 and a number is 36 people from 1990 to 2000. In The difference of twice a number 2000, the population of Alexandria and 3 equals -4 was 128,000 people. Write an -3 is equal to twice the sum of a equation to find the population of number and 2 Alexandria in 1990. 16 + y = 27 1/2y = 36 -3 = 2(y + 2) 2y - 3 = -4 Word Problem Word Problem The population of Alexandria, Lake Ontario, which has a Virginia increased by 17,000 depth of about 800 feet, people from 1990 to 2000. In is four times as deep as 2000, the population of Alexandria Lake Erie. Write an was 128,000 people. Write an equation to find the population of equation to find the depth Alexandria in 1990. of Lake Erie. Word Problem Word Problem Lake Ontario, which has a Pennsylvania, the second state to enter the Union, was depth of about 800 feet, admitted 172 years before is four times as deep as Alaska. Alaska was admitted Lake Erie. Write an to the Union in 1959. Write equation to find the depth an equation to determine when Pennsylvania was admitted to of Lake Erie. the Union.
4. 4. Day 1: Translating Verbal Phrases Word Problem Word Problem Pennsylvania, the second state Dunanda Falls and Union Falls to enter the Union, was are two waterfalls in Yellowstone admitted 172 years before National Park. The difference Alaska. Alaska was admitted between the heights of Union to the Union in 1959. Write Falls and the height of Dunanda an equation to determine when Falls is 100 feet. Dununda Falls Pennsylvania was admitted to the Union. is 150 feet tall. How tall is Union Falls. Word Problem Word Problem Dunanda Falls and Union Falls are two waterfalls in Yellowstone You rent two movies from a video store for \$6.95 each and g video games for \$2.95 National Park. The difference each. You have \$25 to spend on the movies between the height of Union Falls and the video games. Write an equation that and the height of Dunanda Falls is represents the situation. 100 feet. Dununda Falls is 150 feet tall. How tall is Union Falls. Word Problem You rent two movies from a video store for \$6.95 each and g video games for \$2.95 each. You have \$25 to spend on the movies and the video games. Write an equation that represents the situation. 2(\$6.95) + \$2.95g = \$25