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Lesson 1-1 Warm-Up

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Title: Lesson 1-1 Warm-Up


1
Lesson 1-1 Warm-Up
  • Are the following answers reasonable? Use
    estimation to determine why or why
  • not.
  • 1. 2.
    3. 4.

2
Using Variables (1-1)
  • variable a symbol, usually a letter , that
    stands for a number
  • algebraic expression a number sentence (includes
    numbers and operation symbols) that includes at
    least one variable
  • is means
  • a number means a variable, like x
  • words plus, more than, sum,
    increased by
  • - words minus, less than,
    difference, decreased by
  • x words of , times, product (We
    show multiplication by placing the factor right
    next to the variable. Example 19k means the
    product of k and 19)
  • ? words divide, quotient
  • Tip Write the numbers of most phrases in the
    order of the words, except more than and less
    than.
  • Example 7 decreased by 3 is translated as 7
    3
  • Example the quotient of 21 and 3 is translated
    as 21 3
  • Example three times a number minus 6 is
    translated as 3n - 6
  • What is a variable?
  • What is an algebraic expression?
  • How do you translate a phrase into an algebraic
    expression?

3
Using Variables (1-1) Cont.
  • How do write an algebraic expression for a word
    problem?
  • When you see the phrases more than and less
    than, start with the second number.
  • Example 14 less than 17 means subtract 14
    from 17, so it is translated as
  • 17 14
  • Example 23 less than m means subtract 23 from
    m, so it is translated as
  • m 23
  • Example 32 less than 5 times c means subtract
    32 from 5 times c, so start
  • with 5 times c, which is translated into 5c and
    subtract it from 32 5c - 32
  • Example Jerry is 4 years younger than his
    brother Steve. Write an algebraic
  • expression to describe Jerrys age.
  • First, we have to know how old Steve is. We do
    not have an age for Steve, so we will use a
    variable
  • Let S Steves age.
  • Now that we have determined Steves age as S, we
    can use it to determine Jerrys age. Jerry, J,
    is 4 years younger than Steve, so
  • J S - 4
  • Example If Steve is 22 years old, how old is
    Jerry?
  • Since we know S 22, we can substitute (replace)
    s for 22 in J S 4

  • J
    22 4 18
  • So, Jerry is 18 years old.

4
Using Variables (1-1) Cont.
  • Example Write an equation to show the total
    income from selling tickets to a school play for
    5 each.
  • Equation 5 x
  • Answer I 5t
  • Example Write an equation for the data in the
    table.
  • Define
  • Answer m 20g
  • How do write an algebraic expression for a
    table?

the total income
i
Define
the number of tickets sold
t

equals
m
miles traveled
g
Number of gallons

5
Using Variables
LESSON 1-1
Lesson Quiz
Write an algebraic expression for each
phrase. 1. 7 less than 9 2. the product of
8 and p 3. 4 more than twice c Define
variables and write an equation to model each
situation. 4. The total cost is the number of
sandwiches times 3.50. 5. The perimeter of a
regular hexagon is 6 times the length of one side.
9 7
8p
2c 4
Let c the total cost and s the number of
sandwiches c 3.5s
Let p the perimeter and s the length of a
side p 6s
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