Less than, smaller - Jason has 3 fewer CDs than Carson. j = c 3 – than, decreased The difference between Jenny’s and j b = 75 – by, difference, Ben’s savings is $75. Of, times, product x Emma has twice as many books as e = 2 x j of, twice, double, Justin. or triple, half of, = 2j e quarter of j = c x ½ Justin has half as many books as or Emma. j = e/2 Divided by, per, Sophia has $1 for every $2 Daniel s = d 2 for, out of, of has. or __ to __ s = d/2 d/s = 2/1 The ratio of Daniel’s savings to Sophia’s savings is 2 to 1. Example 1 Jennifer has 10 fewer DVDs than Brad. Step 1: j (has) = b 10 – Remember, the word is an sign and the word is a minus sign, so: “has” “fewer” Step 2: j = b 10 – Example 2 Clay got 1- fewer votes than Kimberly. Reuben got three times as many votes as Clay. The three contestants received a total of 90 votes. Write an equation in one variable that can be used to solve for the number of votes Kimberly received. Step 1: Pick which unknown will be represented by the variable. Since you’re solving for Kimberly, let k be the number of votes Kimberly received. Step 2: Represent the two unknowns in terms of k. Clay got 10 fewer votes so it’s k - 10 and Reuben got three times that so it’s 3(k - 10). Step 3: Set up the equation all of the expressions to equal 90. k + (k - 10) + 3(k - 10) = 90 Example 3: A school is having a special even to honor successful alumni. The event will cost $500, plus an additional $85 for each alum who is honored. Write an equation that best represents the number of alumni that can be honored. Step 1: The amount the school can spend is equal to or less than $1,000, so it’s 1,000 Step 2: The event has a fixed cost of $500 and a variable of $85 per alum so it’s 500 + 85a. Step 3: The equation then becomes 500 + 85a 1,000.
Less than, smaller than, decreased by, difference, - Jason has 3 fewer CDs than Carson. The difference between Jenny’s and Ben’s savings is $75. j = c – 3 j – b = 75 Of, times, product of, twice, double, triple, half of, quarter of x Emma has twice as many books as Justin. Justin has half as many books as Emma. e = 2 x j or e = 2j j = c x ½ or j = e/2 Divided by, per, for, out of, of __ to __ Sophia has $1 for every $2 Daniel has. The ratio of Daniel’s savings to Sophia’s savings is 2 to 1. s = d 2 or s = d/2 d/s = 2/1 Example 1 Jennifer has 10 fewer DVDs than Brad. Step 1: j (has) = b – 10 Remember, the word “has” is an sign and the word “fewer” is a minus sign, so: Step 2: j = b – 10 Example 2 Clay got 1- fewer votes than Kimberly. Reuben got three times as many votes as Clay. The three contestants received a total of 90 votes. Write an equation in one variable that can be used to solve for the number of votes Kimberly received. Step 1: Pick which unknown will be represented by the variable. Since you’re solving for Kimberly, let k be the number of votes Kimberly received. Step 2: Represent the two unknowns in terms of k. Clay got 10 fewer votes so it’s k - 10 and Reuben got three times that so it’s 3(k - 10). Step 3: Set up the equation all of the expressions to equal 90. k + (k - 10) + 3(k - 10) = 90 Example 3: A school is having a special even to honor successful alumni. The event will cost $500, plus an additional $85 for each alum who is honored. Write an equation that best represents the number of alumni that can be honored. Step 1: The amount the school can spend is equal to or less than $1,000, so it’s 1,000 Step 2: The event has a fixed cost of $500 and a variable of $85 per alum so it’s 500 + 85a. Step 3: The equation then becomes 500 + 85a 1,000.
AR17%20Math%20workbook.docx