SOL 7:13
Writing Expressions and Equations
To translate statements into expressions and equations:
1) Identify key words that indicate the
operation (use the yellow sheet in your notebook to help you)
2) Record the number/variables in the correct order.
Write a Phrase as an Expression
1)
Write the phrase five dollars less than Jennifer earned as an algebraic expression.
Key Words
Variable
Expression
five dollars less than Jennifer earned
let d represent the number of dollars Jennifer earned
d-5
*When you write a verbal sentence as an equation, you can use the equals sign (=) for the words equals, is equal to or is.*
THAN and FROM are turn around words.
Write each sentence as an algebraic equation.
Sentence
1) Five more than a number is 20.
2) Three times Jack’s age equals 12.
Equation
n + 5 = 20
3a = 12
3) It is estimated that 12.4 million pounds of potato chips were consumed during the 2002 Super Bowl. This was 3.1 million
pounds more than the number of pounds of tortilla chips consumed. Write an equation that models the situation.
Key Words
Variable
Equation
Potato chips were 3.1 million more than tortilla chips
Let t= number of millions of pounds of tortilla chips
12.4 = 3.1 + t
Write the algebraic expression or equation for the following statements.
Tom has $12 more than $15. 15 + 12
2. John split 40 starbursts between 10 friends.
1.
40/10
3.
Seven less than a number is 15
4. Twenty times a number less 10
15 − 7
20n − 10
Write the numerical statement to match the expression or equation.
5. Sixteen times a number minus four and one tenth is 13.
A) 16m + 4.1 = 13
C) 16m – 4.1 = 13
B) 16 – 4.1m = 13
D) 16 + 4.1m = 1
6. Winnie sold 152 boxes of candy. This is 13 fewer boxes than Bobby sold.
152 = b −13
7. The Yorty family sold a valuable vase for $45,000.
This price is $9,000 more than they originally paid
for it. 45,000 = p + 9,000
Solve.
8. 45b + 134
9.
(given b is 2) 45(2) + 134 = 224 (hint: GMDAS)
78 − 143 + 3d (let d be 16)
10. 19a x 2a + 3 (let a be 4)
78 − 143 + 3(16) = - 17 (hint: GMDAS)
19(4) ∙ 2(4) + 3 = 611 (hint: GMDAS)
11. How is “6 less than the square of a number, d,” expressed algebraically?
A 6 − 2d
B 2d − 6
C 6 – d2
D d2 − 6
12. Identify whether each is an expression, equation, or inequality.
a). 5 + r  23 inequality
b). 5g expression
c). 2b - 8 expression
d). 2x = 6 equation
e). 9x > 27 inequality
f). -6r = 36 equation
13. Which phrase is represented by 3(5 – d) + 2
A The sum of two and three times the difference between a number, d, and five
B The sum of two and three times the quotient of five and a number, d
C Two more than three times the difference between five and a number, d
D Two more than the difference between three times a number, d, and five
14. Which symbol can be placed in the box to make the following an expression?
15 – 4x 4
A <
B ≥
C =
D +
15. Ronda placed 2 stuffed bears into each of 14 bags. Let a represent the total number of
bears she had. Which of the following best represents this situation?
A a = 14 – 2
B a = 14 + 2
C a = 14 ∙ 2
D a=
14
2