Topic 4
Name: __________________________
Date: ________
Sheet #3
Algebraic Expressions – Writing Expressions
PreAlgebra
Practice Problems: Define a variable when necessary. Highlight each key word. Translate each verbal sentence
into a mathematical sentence.
1
twelve minus a number
Algebraic expression: ________________________________________
2
six less than a number
Algebraic expression: ________________________________________
3
the quotient of a number and five
Algebraic expression: ________________________________________
4
the product of r and x
Algebraic expression: ________________________________________
5
three more than a number
Algebraic expression: ________________________________________
6
the difference of two and a number
one-half of a number
Algebraic expression: ________________________________________
8
the sum of a number and seven
Algebraic expression: ________________________________________
9
Algebraic expression: ________________________________________
14 the product of two and a number plus six
Algebraic expression: ________________________________________
15 six decreased by five multiplied by a number
Algebraic expression: ________________________________________
16 the sum of six and twice a number
Algebraic expression: ________________________________________
17 triple the difference of 5 and a number
Algebraic expression: ________________________________________
18 six less than the product of twenty five and a
number
Algebraic expression: ________________________________________
7
13 seven less than the quotient of p and q
ten plus the product of x and y
Algebraic expression: ________________________________________
10 twice a number decreased by six
Algebraic expression: ________________________________________
11 triple a number, increased by two
Algebraic expression: ________________________________________
12 three more than five times a number
Algebraic expression: ________________________________________
Algebraic expression: ________________________________________
19 double a number, diminished by 17
Algebraic expression: ________________________________________
20 six times a number squared, increased by 3
Algebraic expression: ________________________________________
21 Double the sum of a number and ten
Algebraic expression: ________________________________________
22
Write an expression for the number of hours Sarah
works if she works eight more hours than Paida.
Algebraic expression: ________________________________________
23
Write an expression for Kumar’s goal if he scored twice
the number of goals as Jacob.
Algebraic expression: ________________________________________
24
Write an expression for Addison’s age if she is three
years younger than Nathan.
Algebraic expression: ________________________________________
25
If n stands for the number, which best represents
the following phrase?
The sum of a number and three, divided by 7
A
B
26
7
3
C
7
3
n
D
n
31 Tell whether the statement below is
sometimes, always, or never true. Justify your
reasoning.
(n  3)  7
The expressions
x  3 and y  3 represent the same value.
7  (n  3)
If n stands for the number, which best represents
the following phrase?
Eight decreased by six times a number
A 8n  6
C 6n  8
D 6  8n
8  6n
27 Diana has 6 less than 3 times the number of
stamps in her collection that Rafael has in his.
Let r equal the number of stamps Rafael has.
Which expression represents the number of
stamps Diana has?
A 3r  6
C 6  3r
B
3r  6
D 6  3r
28 Bonnie bought a prepaid cell phone with 400
minutes of calling time. Since then, she has
used the phone for 20 minutes each day.
Which expression shows the number of
minutes left on the cell phone after d days
have passed?
A 20d  400
C 400  20d
B
20d  400
D 400  20d
29 Emma is 5 years older than 6 times Bart’s
age. Let b represent Bart’s age. Which
expression represents Emma’s age?
A 6b  5
C 5b  6
32 A car rental company’s fees are shown.
Car Rental Prices
Option 1
Option 2
$19.99 per day
$50 fee
$0.17 per mile
$0.17 per mile
Part A Suppose you rent a car using Option 2. Write
an expression that gives the total cost in dollars for
driving m miles.
Algebraic expression: _______________________________________
Part B Use the expression you made in Part A to find
the cost for driving 150 miles.
B
B
6b  5
D
5b  6
30 A Web site charges $0.99 to download a
game and a $12.49 membership fee.
Part A Write an expression that gives the total cost in
dollars to download any number of games.
Algebraic expression: _______________________________________
Part B Find the cost of downloading 6 games.
Answer $ _____________________
Part C Suppose you rent a car using Option 1. Write
an expression that gives the total cost in dollars to
rent a car for d days and m miles.
Algebraic expression: _______________________________________
Part D Use the expression you made in Part C to find
the cost for renting a car for 2 days and driving 70
miles.
Answer $ _____________________
Answer $ __________________