Algebra%201

1
Algebra 1

• 1.5 Translating Words into Mathematical Symbols

2
Translate Addition Phrases
PHRASE TRANSLATION
The sum of 6 and a number 6 x
8 more than a number x 8
A number plus 5 x 5
A number increased by 7 x 7
3
Translate Subtraction Phrases
PHRASE TRANSLATION
The difference between 5 and a number 5 y
7 minus a number 7 y
A number decreased by 9 y 9
4 less than a number y - 4
4
Write the phrase as a variable expression. Let n
represent the number

1. The sum of a number and 11
2. 32 decreased by a number
3. The difference of a number and 12
4. 20 more than a number
5. 15 increased by a number
6. 25 less than a number

5
IMPORTANT NOTE

• Order does not matter for addition and
  multiplication. The sum of 6 and a number can
  be written either as 6 x or x 6. Order is
  important for subtraction and division. The
  quotient of a number and 4 means n/4, not 4/n.

6
Translate Multiplication and Division Phrases
Phrase Translation
The product of 9 and a number 9n
10 times a number 10n
A number multiplied by 3 3n
One fourth of a number (1/4)n
The quotient of a number and 6 n/6
7 divided by a number 7/n
7
Write the phrase as a variable expression. Let x
represent the number.

1. The product of 17 and a number
2. One half of a number
3. The quotient of 15 and a number
4. 24 times a number
5. A number multiplied by 7
6. A number divided by 8

8
Translate Sentences
Sentence Translation
The sum of a number x and 12 is 6. x 12 16
The quotient of 15 and a number x is less than 3. (15/x) lt 3

• The word is by itself means
• You can also use is with inequality symbols

9
Write the sentence as an equation or inequality

1. 8 times a number x is 56.
2. 24 less than a number x is greater than 5.
3. 10 times a number x is less than or equal to 50.

10
Write and Solve an Equation

1. Translate into mathematical symbols A number
   divided by 4 is 7. Let y represent the number.
2. Use mental math to solve the equation.
3. Check your solution.

11
You make a long distance telephone call. The
rate is .20 for each minute. The total cost of
the call is 6.00. How long was the call?
12
You drive 275 miles in 5 hours. What is your
average speed?
13
Write a sentence that could be translated to x -
11 5