Translating Algebraic and Verbal Expressions Warm Up Answer

Translating Algebraic and Verbal Expressions

Warm Up Answer the following problems 1. (5+2 -6) - (1 -5+12) + (6 -3+11)= 2. 2(5 -3)2 + (15÷ 3 x 2) - (5+2 x 1 -4)= 7 15 Let a=5 b=7 c=-9 3. 2 a + (b-c) + a 2 = 4. a+c - (2 x a ÷ 5) + c 2 = 51 75 1/22/2022 www. numberbender. com 2

WRITING EXPRESSIONS AND EQUATIONS 1/22/2022 www. numberbender. com 3

Algebraic Expression • ? represents a number. • That number plus ten equal 14. • How do we represent the number algebraically? 1/22/2022 www. numberbender. com 4

What You’ll Learn COPY Translate words into algebraic expressions and equations. 1/22/2022 www. numberbender. com 5

Build Your Vocabulary COPY • An algebraic expression contains numbers and variables along with +, -, x, and/or ÷. • A variable is a symbol used to represent an unknown number. • A numerical expression contains numbers along with +, -, x, and/or ÷. 1/22/2022 www. numberbender. com 6

COPY Build Your Vocabulary SUM is for ADDITION. DIFFERENCE is for SUBTRACTION. PRODUCT is for MULTIPLICATION. QUOTIENT is for DIVISION. 1/22/2022 www. numberbender. com 7

COPY Other Terminologies ADDITION • • • plus the sum of increased by more than added to The total of 1/22/2022 SUBTRACTION • • • minus the difference of decreased by less than fewer than subtracted from www. numberbender. com 8

COPY Other Terminologies MULTIPLICATION • • • times the product of multiplied by at of 1/22/2022 DIVISION • • divided by the quotient of the ratio of per www. numberbender. com 9

COPY Examples Write an algebraic expression for each verbal expression. the sum of p and 12 the product of k and q 1/22/2022 www. numberbender. com p + 12 kq k×q 10

Your Turn Write an algebraic expression for each verbal expression. b decreased by 6 the product of 9 and z 1/22/2022 www. numberbender. com b-6 9 z 9×z 11

COPY Examples A python eats 4 pounds of meat each month. • Write a numerical expression to represent the amount it eats in 5 months. The numerical expression is 4 × 5 or 4(5) • Write an algebraic expression to represent the amount it eats in d months. The algebraic expression is 4 × d or 4 d. 4 d 1/22/2022 www. numberbender. com 12

COPY Examples Write a verbal expression for each algebraic expression. 37 + s the sum of 37 and s. 37 increased by s. 5 (b – 3) 5 times the difference of b and 3. 5 multiplied by the difference of b and 3. 1/22/2022 www. numberbender. com 13

Your Turn Write a verbal expression for each algebraic expression. x÷ 7 x divided by 7 4 + (2 n) the sum of 4 and the product of 2 and n 1/22/2022 www. numberbender. com 14

What is an Equation? COPY An equation is a mathematical sentence that contains an equals sign (=). Words are used to indicate the equals sign. An equation may contain numbers, variables, or algebraic expressions. Equality equals is equal to is is the same as is equivalent is as much as to is identical to 1/22/2022 www. numberbender. com 15

COPY Examples Write an expression for each sentence The quotient of t and 8 equals 20. t/8 = 20 t ÷ 8 = 20 Seven less than three times g is 31. 3 g – 7 = 31 1/22/2022 www. numberbender. com 16

Your Turn Write an expression for each sentence A number x increased by 12 is the same as 27. x + 12 = 27 The product of 8 and d decreased by 9 equals 23. 8 d – 9 = 23 1/22/2022 www. numberbender. com 17

COPY Examples Write a sentence for each equation j + 4 = 21 4 more than j is equal to 21 3 z – 12 = 11 The product of 3 and z decreased by 12 equals 11 1/22/2022 www. numberbender. com 18

Your Turn Write a sentence for each equation r – 10 = 5 10 less than r is equal to 5 The quotient of n and 3 increased by 6 equals 30. 1/22/2022 www. numberbender. com 19