Objective To translate sentences into equations.

1
Objective - To translate sentences into equations.
2
Translate the following sentences into equations.
1) Twice the sum of a number n and 5 equals 18.
2) The quotient of x and 2 added to 9 is equal
to 13.
3) Six less than 5 times a number x is 39.
4) Forty-two equals 5 subtracted from the
product of 7 and x.
3
Define a variable and write an algebraic
equation that represents the situation.
1) The number of animals at the shelter was
increased by 20 and is now 185.
Let n the original number of animals
n 20 185
2) Marty buys a number of CDs for 12 each. The
total he spent was 96.
Let x the number of CDs purchased
12x 96
4
Define a variable, write an algebraic
equation, and solve.
1) The cost of 5 ties at t dollars each is
90. How much was each tie?
Let t the cost of each tie
5t 90
5 5
t 18
The cost of each tie is 18.
5
Define a variable, write an algebraic
equation, and solve.
2) The water level in the tank dropped 60
inches to a level of 210 inches. What was the
water level before it dropped?
Let w the initial water level
w - 60 210
60 60
w 270
The initial water level was 270 inches.
6
Match each sentence with its variable equation.
b
1) Twice the sum of 4 and x is 5.
d
2) Four more than the product of 2 and x is 5
a
3) Four times the difference of x and 2 is 5.
c
4) Two subtracted from the product of x and 4 is
5.
e
5) The product of two and x less 4 is 5.
7
Define a variable, write an algebraic
equation, and solve.
A gazelle can run at a speed of 50 mph. This is
10mph slower than the speed of a cheetah. What is
the speed of a cheetah?
Let x the speed of a cheetah
50

- 10
x
10 10
60 x
cheetah speed 60
8
Define a variable, write an algebraic
equation, and solve.
The Sears Tower is 110 stories tall. This is 8
stories taller than the Empire State Building.
How many floors is the Empire State Building?
Let x the of stories in Empire State
110

8
x
-8 -8
102 x
Floors in Empire State 102
9
Define a variable, write an algebraic
equation, and solve.
Joe saved 32 for a new CD player. How much
more will he need if it costs 54 plus 3.24 tax?
Let x the amount of money he needs
32 x 54 3.24
32 x 57.24
-32 -32
x 25.24
Money Joe needs 25.24
10
Define a variable, write an algebraic
equation, and solve.
Marcy deposits a check for 216 in her
checking account. Her new balance is 388. What
was her original balance before the deposit?
Let x the balance before deposit
x 216 388
-216 -216
x 172
Original balance 172