Lesson 1
RCSD Geometry Local Curriculum
Name:__________________________
U1
Period:_______ Date:____________
Lesson 1: Algebraic Expression Translations
Learning Target: I can translate verbal expressions and equations in mathematical expressions and equations
Definitions
Examples
Variable:
Algebraic Expression:
Equation:
Brainstorm words that we would use in English to represent the following mathematical symbols:
Words that translate to mathematical symbols
ADDITION
MULTIPLICATION
SUBTRACTION
KEY WORDS
Equal sign
DIVISION
Lesson 1
RCSD Geometry Local Curriculum
Name:__________________________
U1
Period:_______ Date:____________
Expressions: Define a variable and write an algebraic expression for each phrase.
1. 7 more than a number
2. the quotient of a number and 3
3. the product of 8 and a number
4. the sum of a number and 9
5. 4 less than a number
6. twice the quantity of a number decreased by 8
7. 3 times the difference of a number and 8
8. the quotient of a 9 and 7 times a number
9. 2 less than the product of a number and 5
10. the square of a number increased by 9
Equations: Define a variable and write an algebraic equation to model each situation.
1. Three less than a number is 12
2. Twice a number is equivalent to the sum of eight and the number
3. Four times the sum of a number and 8 is equal to 3.
4. When one-half a number is decreased by 5 the result is 1.
Lesson 1
RCSD Geometry Local Curriculum
Name:__________________________
Period:_______ Date:____________
Lesson 1: Algebraic Expression Translations
Classwork
Write each of the following statements using symbolic language.
1. Bruce bought two books. One book costs four dollars more than three times the other.
2. Janet is three years older than her sister Julie.
3. Six more than triple the number
4. Subtract seven from twice a number
5. Three more than the sum of a number and four.
6. Nine less than the product of a number and two
7. The quotient of two and three more than a number.
8. The product of triple a number and five.
U1
Lesson 1
RCSD Geometry Local Curriculum
Name:__________________________
U1
Period:_______ Date:____________
Directions: Translate each verbal phrase into an equation, using x to represent the number. Solve the
equation.
1. Three times a number is 63. Find the number.
2. If seven is subtracted from a number, the result is forty-one. Guess the number.
3. Ten less than a number is thirty-two. Guess the number.
4. When four times a number is increased by one hundred, the result is one hundred and eighty. Guess
the number.
5. Three-fifths of a number is thirty. Guess the number.
6. Ten times a number, increased by nine, is fifty-nine. Guess the number.
7. When twelve is subtracted from three times a number, the result is twenty-four. Guess the number.
8. Forty two more than the quotient of a number and five is fifty three.
Lesson 1
RCSD Geometry Local Curriculum
Name:__________________________
U1
Period:_______ Date:____________
Lesson 1: Algebraic Expression Translations
Homework
Write an algebraic expression for each phrase.
1. 7 increased by 𝑥
2. 𝑝 multiplied by 3
3. 10 decreased by 𝑚
4. 𝑛 less than 7
5. The product of 2 and 𝑞
6. 3 more than 𝑚
Write a phrase for each algebraic expression
8
7.
𝑎
9. 𝑥 + 13
8. 𝑠 − 10
10. 𝑎𝑏 + 2
Define a variable and write an algebraic expression for each phrase.
11. The difference of 8 and a number
12. The sum of 4 and a number
13. The product of 2 and a number
14. 3 increased by a number
15. 10 plus the quotient of a number and 15
16. 12 less than a number
Write an equation for each of the following sentences.
17. Six more than three times a number is ten.
19. Four times a number exceeds another
number by 2.
18. Twice the sum of a number and 8 is 5.
20. When a number is subtracted from 7, the
result is 15.
RCSD Geometry Local Curriculum
Name:__________________________
Lesson 1
U1
Period:_______ Date:____________