Match each phrase with its variable expression.

1) Twice the sum of x and 3

2) Two less than the productof 3 and x

3) Three times the difference of x and 2

4) Twice the number x less 3

5) Two more than 3 times thenumber x

a

b

e

c

d a) 2x 3

b) 3(x 2)c) 3x 2

d) 2(x 3)

e) 3x 2First, did

you box the backwards words???

Self Quiz: Don’t copy, just try these 5 problems

Lesson 2.4 – Translating Sentences into Equations

Write this TITLE down on your notes!!!

Lesson 2.4 – Translating Sentences into Equations

What is the difference between expressions and equations?A: Equations have equal (=) signs and expressions don’t.

Translate the following sentences into equations.

1) Eleven more than a number t is 23.

2) Eight times a number k is equal to 56.

3) Thirteen less m equals 6.

t 11 23

8k 56

13 m 6

The “is” in a sentence is usually the “=” sign

Objective - To translate sentences into equations.

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.

2(n 5) 18

9 x 2 13

5x 6 39

42 7x 5

Define a variable and write an algebraic equationthat 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 animalsn + 20 = 185

Define a variable, write an algebraic equation,and solve.

1) The cost of 5 DS games at t dollars each is $100.How much was each game?

Let g = the cost of each game

5 • g = 100

g = 20

The cost ofeach game is $20.

Mental Math“5 times what number

will get me 100?”

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 stories is the Empire State Building?

Let x = the number of stories in Empire State

110 = + 8x

x = 102

Number of stories in Empire State is 102.

Mental Math“What number plus 8

will get me 110?

Many backward words will usually use the word “than”, so watch out for it.

Match each sentence with its variable equation.

1) Twice the sum of 4 and x is 5.

2) Four more than the product of 2 and x is 5

3) Four times the difference of x and 2 is 5.

4) Two subtracted from the product of x and 4 is 5.

5) The product of two and x less 4 is 5.

c

a

d

e

b a) 4(x 2) 5

b) 2(4 x) 5

c) 4x 2 5

d) 2x 4 5

e) 2x 4 5

Self Quiz: Don’t copy, just try these 5 problems

Homework

• Take out a NEW sheet of paper to start your homework. Use proper math guidelines!

p.68 (#16-26, skip #20, #33-38 all)

NamePeriod #

16) 16)

Date

Remember to write the original problem, then your work, then write your answer