© Mr. Sims
Algebra 1
Section 1.6
Verbal Models
Examples of translating a verbal phrase into an algebraic expression:
Operation
Verbal Phrase
Algebraic Expression
Addition
The sum of six and a number
Eight more than a number
A number plus 5
6+x
x+8
x+5
Subtraction
The difference of 5 and a number
Four less than a number
Seven minus a number
5–x
x–4
7-x
Multiplication
The product of nine and a number
Ten times a number
A number multiplied by 3
9x
10x
3x
Division
The quotient of a number and 4
Seven divided by a number
x÷4
7÷x
© Mr. Sims
Translate the phrase into an algebraic expression.
1. 12 more than a number
x + 12
2. Half of a given number
x/2
3. 11 plus the quotient of a number and seven
11 + n/7
4. Twelve decreased by three times a number
12 – 3x
5. Eleven times a number plus 1/3
11x + 1/3
6. The difference between three times a number and 12
3x - 12
© Mr. Sims
Translate the sentence into an equation or an inequality.
7. Sixteen more than a number s is 36.
s + 16 = 36
8. Twenty-five decreased by a number y is less than 10.5
25 – y < 10.5
9. Write an expression that represents the perimeter of the figure.
2x in.
8 in.
8 in.
Perimeter
= 8 + 9 + 2x + 9 + 8 + 2x
= 4x + 34
9 in.
9 in.
2x in.
© Mr. Sims
Decide whether the equation is a correct translation
of the verbal sentence.
10. Half of the sum of six and a number is seven
½(6 + n) = 7
correct
11. Three times the difference of two and a number is four.
(3 · 2) – y = 4
incorrect
12. Which equation correctly models the situation?
You and three friends bought a pizza. You paid $2.30 for your
share (1/4 of the pizza). Let p be the cost of the pizza.
a.) 4p = $2.30
b.) 1/4p = 2.30
© Mr. Sims
13. Which equation correctly models the situation?
There are 24 sports cars in a car lot. Each car is either
red or white. There are four fewer red cars than white
cars. Let w be the number of white cars.
a.) w + (w – 4) = 24
b.) w + 4 = 24
© Mr. Sims
Translate the phrase into an algebraic expression.
1.) 5 more than twice a number
3.) A number divided by 6
5.) Three increased by 12 times a number
Algebra 1
Section 1.6
Assignment
2.) 3 less than 4 times a given number
4.) Eleven more than 1 of a number
3
6.) Three times the difference of a number and 12
Translate the sentence into an equation or inequality.
7.) Ten is less than three times a number b.
8.) The product of 17 and a number n is one.
Decide whether the equation is a correct translation of the verbal sentence.
9.) Seven less than three times a number is eight. 7 – 3x = 8
10.) Four times the sum of a number and five is thirty-two. 4(m + 5) = 32
Which equation models the situation?
1
11.) A model for a new car is scaled 10 of the actual size. The length of the model’s body is 45.
Let L be the actual length of the car’s body.
1
1
a.) 10 L = 45
b.) L =10 (45)
© Mr. Sims
Any rebroadcast, reproduction, or other use of the pictures and
materials from this site and presentations, without the express
written consent of Mr. Sims, is prohibited.
© Mr. Sims. All rights reserved.
© Mr. Sims