By the end of this lesson the student will be able to:
Assignment: Completion of Basic Algebra
- Lesson 2
A quick review:
1. When you write algebraic expressions,
use +, -, and = signs. For division, use / , the same way you know that
when you see a fraction, it means to divide the top number by the bottom
2. For multiplication, write the
expression with no symbol or sign between them as the X (multiplication)
symbol can be confused with the variable x. For example 3 times the variable
y should be written 3y. You can also use parentheses to indicate multiplication.
This is especially useful in longer problems such as (3y)(4-2x).
3. When you want to multiply something
AFTER another expression has been done first, use parenthesis. For example,
if you want to add x and y and THEN multiply the result by 7, write it
this way: 7(x + y).
4. To translate from language to
a math expression, read the sentence carefully. Then decide what operations
it will take to reach a solution. Write this into an algebraic expression.
1. To take something OUT of parenthesis,
do the operation one number at a time. For example, 7(x+y). First, multiply
7 times x. Then multiply 7 times y. The result is 7x + 7y.
2. When you solve for x, you want
to "isolate" the x on one side of the equal sign. To do this, use the opposite
sign of the number you want to move and do the same thing to BOTH sides
of the equation.
For example: 8x + 2 = 50
8x + 2 - 2 = 50 - 2 (Subtract 2 from both sides of the = sign)
8x = 48 (Divide by 8 to solve because that is opposite of multiplication)
x = 6
And now a fun problem to make you
really think. Solve using algebra. Translate into an expression and solve.
You can do it!
including Answer key:
George is 4 years older than Jon,
who is 4 years older than Jim, who is 4 years older than Sam, who is 1/2
the age of George. How old is each boy? Hint: let x represent George's
Answer Key : Click
To: Basic Algebra