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Writing Expressions for
Word Phrases Objectives: Translate verbal expressions into math
expressions and vice versa. Translate verbal equations into equations
and vice versa
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What is the area of a rectangle?
What is a variable? What is the area of a rectangle? Length times Width If the length is 3 meters and the width is 2
meters, what is the area? A = L x W A = 3 x 2 = 6 meters2 A, L and W are the variables. Therefore a
variable is any letter that represents an
unknown number.
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An algebraic expression contains:
1) one or more numbers or variables, and 2) one or more arithmetic operations (?). Examples: x - 3 3 • 2n
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We are not going to use the multiplication symbol any more. Why?
In expressions, there are many different
ways to write multiplication. 1) ab 2) a • b 3) a(b) or (a)b 4) (a)(b) 5) a x b We are not going to use the
multiplication symbol any more. Why?
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Division, on the other hand, is written as:
1) 2) x ÷ 3
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decreased by plus less than difference increased by more than minus
ADDITION SUBTRACTION decreased by plus less than sum increased by difference more than minus MULTIPLICATION DIVISION product quotient times divided by multiplied by of Organize the words.
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ADDITION + Words that mean Verbal Phrase Variable "Addition" Expression 1) Plus A number y y + 5 plus 5.
2) More than more than y + 8 a number y. * Translate "more than" phrases backwards. 3) Sum The sum of y and a number y.
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SUBTRACTION − Words that mean Verbal Phrase Variable "Subtraction" Expression 1) Difference The difference y - 12 of a number y and 12. 2) Less Than less than a y - 3 number y. * Translate "less than" phrases backwards. 3) Minus minus a y
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MULTIPLICATION x • ( ) Words that mean Verbal Phrase Variable "Multiplication" Expression 1) Product The product • 8 , 2 x 8 , of 2 and (8) 2) Times A number y y , 5 x y, times • y, 5(y) * When multiplying a number and a variable, the number is always written first. 3) Multiplied by A number y y, 3 x y, multiplied by • y, 3(y)
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DIVISION ÷ ∕ − Words that mean Verbal Phrase Variable "Division" Expression 1) Quotient The quotient of ÷ 4, 12 and /4, 12 2) Divided By A number y y ÷ 2, divided by y/2, y
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Directions: Organize the "addition" words by
dragging out the words from the word bank.
more than times remainder add subtract plus decreased by quotient difference multiply total divide product sum minus less than increased by ADDITION
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Directions: Organize the "subtraction" words by
dragging out the words from the word bank.
more than times remainder add subtract plus decreased by quotient difference multiply total divide product sum minus less than increased by SUBTRACTION
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Directions: Organize the "multiplication" words
by dragging out the words from the word bank.
more than times remainder add subtract plus decreased by quotient difference multiply total divide product sum minus less than increased by MULTIPLICATION
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Directions: Organize the "division" words by
dragging out the words from the word bank.
more than times remainder add subtract plus decreased by quotient difference multiply total divide product sum minus less than increased by DIVISION
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Translate the verbal phrase into a variable expression.
1) The sum of a number y and 20. 2) Six more than twice a number y. 3) The difference of 8 and a number y. 4) 9 divided by a number y. 5) The product of a number y and 20. 6) Two less than a number y. y + 20 2y + 6 8 - y 9 ÷ y, 9∕y, 9 y 20y, 20(y), 20•y y - 2 (Click on the yellow box to reveal the answer.)
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2(4y) 4y + 2 5(y+3w) 5(y + 3)•w 8(12 - 2) 8(12 + 2)
Translate the phrase as a variable expression. Click on the speaker to reveal answer. 2(4y) 7) Two more than 4 times a number y 4y + 2 8) Five times the sum of a number y and 3 times another number w. 5(y+3w) 5(y + 3)•w 9) Eight times the difference of 12 and 2. 8(12 - 2) 8(12 + 2)
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11) The quotient of 14 divided by a number y.
Match the expression to the phrase by dragging
the variable expression to the verbal phrase. 14 - y 14 ÷ (7 - y) 7(14 + y) 14y 7 + y 2(y + 7) y + 14 7 + 14y y - 14 14 ÷ y 10) A number y multiplied by 14. 11) The quotient of 14 divided by a number y. 12) 14 less than a number y. 13) 7 increased by a number y. 14) A number y subtracted from 14.
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16) 7 more than the product of 14 and a number y.
Match the expression to the phrase by dragging the
variable expression to the verbal phrase. 14 - y 14 ÷ (7 - y) 7(14 + y) 14y 7 + y 2(y + 7) y + 14 7 + 14y y - 14 14 ÷ y 15) 14 more than a number y. 16) 7 more than the product of 14 and a number y. 17) Twice the sum of a number y and 7. 18) Product of 7 and the sum of 14 and a number y. 19) 14 divided by the difference when a number y is subtracted from 7.
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21) The number of yards in y feet.
Match the expression to the phrase by dragging the
variable expression to the verbal phrase. 24y 3y 60y y ÷ 60 y ÷ 24 y ÷ 3 20) The number of hours in y days. 21) The number of yards in y feet. 22) The number of minutes in y seconds. 23) The number of seconds in y minutes. 24) The number of days in y hours. 25) The number of feet in y yards.
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What are some verbal expressions that suggest the equal sign?
What is the difference between an
algebraic expression and an equation? What are some verbal expressions that suggest
the equal sign?
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Which of the following expressions represents
7 times a number decreased by 13? 1. 7x + 13 2. 7x - 13 x x
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Which one of the following expressions
represents 28 less than three times a number?
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Which of the following verbal expressions represents 2x + 9?
a. 9 increased by twice a number b. a number increased by nine c. twice a number decreased by 9 d. 9 less than twice a number
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Which of the following expressions represents
the sum of 16 and five times a number?
a. 5x - 16 b. 16x + 5 c x d x
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When looking at the expression 103
10 is called the base and 3 is called the exponent or power. 103 means 10 • 10 • 10 103 = 1000
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How is it said? 21 Two to the first power 22 23 2n7
Two to the second power or two squared 23 Two to the third power or two cubed 2n7 Two times n to the seventh power
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Which of the following verbal expressions represents x2 + 2x?
a. the sum of a number squared and twice a number b. the sum of a number and twice the number c. twice a number less than the number squared d. the sum of a number and twice the number squared
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Which of the following expressions
represents four less than the cube of a
number?
a. 4 – x3 b. 4 – 3x c. 3x – 4 d. x3 – 4
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Evaluate. 21 2 22 2 • 2 = 4 23 2 • 2 • 2 = 8 2n7 We can’t evaluate because we don’t know what n equals to!!
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Evaluate each and find out!
Is 35 the same as 53? Evaluate each and find out! 35 = 53 =
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Complete Study Guide and Intervention
p. 1 (odds) p. 2 (odds) p. 33 (1 - 4) p. 34 (odds) Due at end of class (no exceptions)
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