Presentation on theme: "Understanding Algebra Word Problems"— Presentation transcript:
1 Understanding Algebra Word Problems *Represent a given situation using algebraic expressions or equations in one variable.*Simplify and evaluate algebraic expressions.
2 The biggest challenge to solving word problems is figuring out whether to add, subtract, multiply or divide.Words Meaning Additionandincreasedmoremore thanplussumtotalWords Meaning Subtractiondecreaseddifferencelessless thanleftlower thanminusWords Meaning Multiplicationdoublehalf (× ½)producttimestripletwiceWords Meaning Divisiondivide intohalf (÷ 2)divide bydivide among quotient
3 To solve a word problem, you must first interpret the action you need to perform and then choose the correct operation for that action.ActionOperationPossible Question CluesCombineAddHow many all together?Combine equal groupsMultiplyHow many all together?SeparateSubtractHow many more? How many less?Separate into equal groupsDivideHow many equal groups?
4 + – Word Phrases Expression a number plus 5 add 5 to a number sum of a number and 55 more than a numbera number increased by 5a number minus 11subtract 11 from a numberdifference of a number and 11x 1111 less than a numbera number decreased by 113 times a number3 multiplied by a number3mproduct of 3 and a numbera number divided by 7or a 7a77 divided into a numberquotient of a number and 7
5 TEST YOUR SKILL!! Match the phrase with the correct algebraic expression.
15 To set up algebra word problems: To complete an algebra problem, an equal sign must be added.The words is or are as well as equals tell you that you should add an equal sign.Double Jake’s age, x, minus 4 is 22.2x - 4 = 22
16 Translate the word problem into an equation Translate the word problem into an equation. DO NOT find the solution yet.Triple the original number, n, is 2,700.The product of a number, y, and 5 is equal to 15.Four times the difference of a number, x, and 2 is 20.The total, t, divided into 5 groups is 45.3n = 27005y = 154(x – 2) = 20t ÷ 5 = 45
17 Translate the word problem into an equation Translate the word problem into an equation. DO NOT find the solution yet.The number of pants in the store, p, minus 54 pants sold today is 320.One-half an amount, x, added to $50 is $262.One hundred plants, divided by 5 rows, equals n number of plants per row.A number, y, less than 50 is 82.p – 54 = 320x/ = 262100 ÷ 5 = ny - 50 = 82
18 Translate the word problem into an equation Translate the word problem into an equation. DO NOT find the solution yet.Seventeen more than half a number, h, is 35.The quotient of a number, w, and 4 is 32.Six less a number, d, is 12.Four times the sum of a number, y, and 10 is 48.h/ = 35w ÷ 4 = 32d – 6 = 124(y + 10) = 48