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High School Mathematics
1.15 Translating Verbal Statements into Algebraic Expressions

Word Phrases Algebraic expressions
The sum of x and 5
x plus 5
x increased by 5
5 added to x
5 more than x
x + 5
The difference of y and 9
y minus 9
y less 9
y decreased by 9
9 less than y
subtract 9 from y
y - 9
The product of 3 and t
3 times t
t multiplied by 3
The quotient of u and 7
u divided by 7
7 divided into u

Directions: Select the algebraic expression for the following. Also write at least five examples of each of your own.
Q 1: What does (x + y) mean?
the difference between a number x and a number y
the product of x and y
the sum of a number x and a number y
x is greater than y

Q 2: Which expression means x more than number 13?
(x - 13)
x / 13
x + 13
13 - x

Q 3: If x is a positive number, which expression is greater, x + 12 or x + 17?
depends on the value of x
x + 12
x + 17

Q 4: Choose the expression that means 3 fewer than number m.
m - 3
m / 3
m + 3
m x 3

Q 5: Which expression means the product of 8 and a number b?
8 / b
8 + b
8 x b
8 - b

Q 6: The expression 1.5 + x means:
1.5 decreased by x
1.5 increased by x
1.5 less than x
the product of 1.5 and x

Q 7: In the expression, t + 10, the letter t is called a
mystery letter
algebraic letter

Q 8: Mary scored x points in a game. Her friend Anna scored 5 points less than her. Which expression describes Anna's score?
x - 5
x / 5
x + 5

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