Translate each statement below to an expression or equation. Words… Math! 1) the sum of m and -18 2) x increased by -25 3) twice the difference of x and -3 4) of x is -12 5) 8 less than x divided by -2 equals 4 6) 25% of x is 55 Let’s also look at other ways of expressing math: In the REAL world, people aren’t usually handed a set of equations, and told to for x”. “solve However, we are often faced with problems for which writing an equation can be helpful. Cobb County adds a 6% tax to most items sold. If an item costs x dollars, what will the price be after tax? x + 0.06x = 1.06x The sum of x and -19 x + (-19) So, an of 6%” is the SAME as “increase 4 less than the product of 5 and y 5y 4 – multiplying by 1.06 original price tax total Twice the difference of 12 and x is 14 2(12 x) = 14 – 8 less than the quotient of m and -3 equals -9 7) Your bill at Red Lobster is y dollars. You decide to give your server a 20% tip. Write an expression for the total cost. Allison makes n dollars per hour, and her n + 2 her hourly rate with the raise boss gave her a raise of $2 more per hour. Write an expression how much she will 8) There’s a 30%-off sale on Falcons jerseys! Write an expression for the 40(n + 2) how much she makes in 40 hrs. make if she works for 40 hours. total cost. Davis is donating 2/5 of his savings to his school. If he donates $77.60, how much did he have in savings? 9) Halloween candy, c, goes on a 75%-off sale in November. Write an Also, consider using properties of rational 0.4x = $77.60 expression for the cost. numbers. (fractions & decimals)
In the REAL world, people aren’t usually handed a set of equations, and told to “solve for x”. However, we are often faced with problems for which writing an equation can be helpful. The sum of x and -19 x + (-19) 4 less than the product of 5 and y 5y – 4 Twice the difference of 12 and x is 14 2(12 – x) = 14 8 less than the quotient of m and -3 equals -9 Allison makes n dollars per hour, and her boss gave her a raise of $2 more per hour. Write an expression how much she will make if she works for 40 hours. n + 2 her hourly rate with the raise 40(n + 2) how much she makes in 40 hrs. Davis is donating 2/5 of his savings to his school. If he donates $77.60, how much did he have in savings? Also, consider using properties of rational numbers. (fractions & decimals) 0.4x = $77.60 Translate each statement below to an expression or equation. Words… Math! 1) the sum of m and -18 2) x increased by -25 3) twice the difference of x and -3 4) of x is -12 5) 8 less than x divided by -2 equals 4 6) 25% of x is 55 Let’s also look at other ways of expressing math: Cobb County adds a 6% tax to most items sold. If an item costs x dollars, what will the price be after tax? x + 0.06x = 1.06x So, an “increase of 6%” is the SAME as multiplying by 1.06 original price tax total 7) Your bill at Red Lobster is y dollars. You decide to give your server a 20% tip. Write an expression for the total cost. 8) There’s a 30%-off sale on Falcons jerseys! Write an expression for the total cost. 9) Halloween candy, c, goes on a 75%-off sale in November. Write an expression for the cost.
wordstomath_notes.docx