Download 1-1 Variables and Expressions

1-1 Variables and
Expressions
• algebraic expression
• product
• variable
• power
• term
• exponent
• factor
• base
Vocabulary
1
• Algebraic Expression: Does not have an
equal sign and consists of numbers and
variables. (ex. 3x+2)
• Variable: a letter used to represent an
number (ex. a, b, c, x, y,…)
• Term: a part of piece of an expression
(ex. 3x+2)
3x is called the variable term
2 is called the constant term
• Product: the result or solution of
multiplying two or more numbers together
• Factor: two or more numbers that are
multiplied together
Ex. 2 × 4 = 8
2 and 4 are factors of 8
8 is the product of 2 and 4
2
• Power: an expression like 𝑥 5
𝑥 5 𝑚𝑒𝑎𝑛𝑠 𝑥 𝑡𝑜 𝑡ℎ𝑒 𝑓𝑖𝑓𝑡ℎ 𝑝𝑜𝑤𝑒𝑟
• It contains an exponent and a base
In the example 𝑥 5,
𝑥 is the base of the expression
5 is the exponent
5
𝑥 𝑟𝑒𝑎𝑙𝑙𝑦 𝑚𝑒𝑎𝑛𝑠 𝑥 ∗ 𝑥 ∗ 𝑥 ∗ 𝑥 ∗ 𝑥
Write Verbal Expressions
A. Write a verbal expression for 8x2.
Example 1
3
Write Verbal Expressions
B. Write a verbal expression for y5 – 16y.
Example 1
A. Write a verbal expression for 7a4.
A. 7 times a
B. 7 times the product of 4 and a
C. 7 times a to the fourth power
D. 4 times a to the seventh power
Example 1
4
B. Write a verbal expression for x2 + 3.
A. the sum of 3 and x
B. the product of x squared and 3
C. the sum of x and 3 squared
D. the sum of x squared and 3
Example 1
Addition Subtraction Multiplication Division
More than
Less than
Product of
Quotient
Sum
Multiplied by
Divided
by
Plus
Subtracted
from
Difference
Increased
by
Added to
Decreased
by
minus
Of
Times
KC
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Write Algebraic Expressions
A. Write an algebraic expression for 5 less than a
number c.
The words less than suggest subtraction.
a number c
less
five
c
–
5
Answer:
Example 2
Write Algebraic Expressions
B. Write an algebraic expression for 9 plus the
product of 2 and d.
Plus implies add, and product implies multiply.
Answer:
Example 2
6
Write Algebraic Expressions
C. Write an algebraic expression for two fifths of
the area a.
The word of implies multiply.
Example 2
A. Write an algebraic expression for nine more than
a number h.
A. 9 – h
B. 9h
C. 9 + h
D. h – 9
Example 2
7
B. Write an algebraic expression for the difference of
6 and 4 times a number x.
A. 6 – 4x
B. (6 – 4) + x
C. 6 + 4x
D. 6x – 4
Example 2
C. Write an algebraic expression for one half the size
of the original perimeter p.
A. 2p
B.
C.
p2
D. p
Example 2
8
Write an Expression
ENTERTAINMENT Mr. Nehru bought two adult
tickets and three student tickets for the planetarium
show. Write an algebraic expression that
represents the cost of the tickets.
Let a be the cost of each adult ticket and c be the cost
of each student ticket. The cost of the adult tickets is
represented by 2a and the cost of the student tickets is
represented by 3c.
Answer:
Example 3
MONEY Lorenzo bought a bag of peanuts that
cost p dollars and he gave the cashier a $20 bill.
Write an expression for the amount of change that
he will receive.
A. 20 – p
B. p – 20
C. 20 + p
D. 20  p
Example 3
9
• Homework: Page 7 #’s 16-28 Evens
Only
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