Today’s Lesson:

What: translating algebraic sentences

Why: To translate algebraic sentences (expressions and equations) between verbal form and algebraic form.

Expression—math sentence that does NOT contain an _____________ symbol!Equation– math sentence that _________________ contain an equal symbol!

Vocabulary . . .

equal (=)MUST

Addition Key Words Subtraction Key Words

Multiplication Key Words Division Key Words

“is” means ___________

Translate the following into algebraic sentences:1) six less a number 2) six less than a number3) Twice a number is six less than eight. 4) The total of a number squared and four is equal to seven. 5)the quotient of a number and twenty 6)the product of eight and a number cubed7) The difference of a number and six is twice the number.

8) Two times the sum of a number and five is thirty-five.

6 - n n - 6

2n = 8 - 6𝒏𝟐𝟎

n2 + 4 = 78n3

n - 6 = 2n 2(n +5) = 35

9) twice the difference of a number and seven10) Twelve cubed less than the quotient of a number and six.

11) Twelve divided by a number is four. 12) Twice a number divided by ten is four less two.13) one-fourth of a number is the same as ten.

14) nine more than twice a number

2(n – 7)

= 4 = 4 - 2

n = 10

- 123

2n + 9

Translate the following into verbal sentences (words):1) y – 62) x + 15 = 24²

3) 8 + (x + 3)4) 2x – 9 = 15) x_ + 8 = 4y 2

“six less than y”“The sum of a number squared and fifteenis equal to twenty-four.”

“eight plus the sum of a number and three”“Twice a number minus nine is one.”“A number divided by two, plus eight is four times a number.”

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)

represent the homework assigned for that day.

Expression—math sentence that does NOT contain an _____________ symbol!Equation– math sentence that __________________ contain an equal symbol! Addition Key Words Subtraction Key Words

Multiplication Key Words Division Key Words

Math-7 NOTES DATE: ______/_______/_______What: translating algebraic sentences Why: To translate algebraic sentences (expressions and equations) between verbal form and algebraic form. NAME:

“is” means ___________Translate the following into algebraic sentences:1) six less a number 2) six less than a number3) Twice a number is six less than eight. 4) The total of a number squared and four is equal to seven.

7) The difference of a number and six is twice the number. 8) Two times the sum of a number and five is thirty-five.9) twice the difference of a number and seven 10) Twelve cubed less than the quotient of a number and six.11) Twelve divided by a number is four. 12) Twice a number divided by ten is four less two.13) one-fourth of a number is the same as ten. 14) nine more than twice a number

5) the quotient of a number and twenty 6) the product of eight and a number cubed

Translate the following into verbal sentences (words):1) y – 62) x + 15 = 24²

3) 8 + (x + 3)4) 2x – 9 = 15) _x_ + 8 = 4y 2

Math-7 PRACTICE DATE: ______/_______/_______NAME:__________________________

“translating algebraicsentences”

Match the following algebraic sentences with the correct verbal sentence:1) _____ y - 10 A. the quotient of five and three times y 2) _____ 10 - y B. The sum of 6 and y divided by 3 is 24.3) _____ y + 4y² C. ten less than y4) _____ 2y – 3 = 9 D. four less the product of 2 and y5) _____ 3(y + 6) = 24 E. the total of y squared and four times y6) _____ 5y² F. y cubed divided by five7) _____ 3y + 6 = 24 G. Three times the sum of y and 6 is 24.8) _____ 2y + 4y H. four less than twice y9) _____ 5(2y) I. ten less y10) _____ 6 + _y_ = 24 3 J. Three times the difference of y and 6 is 24.11) _____ 3( y – 6) = 24 K. Twice y less three is 9.12) _____ 2y - 4 L. the product of five and twice y13) _____ 4 – 2y M. five times y squared 14) _____ _y³ 5 N. twice y added to four times y15) _____ _5_ 3y O. The total of three times y and 6 is 24.