Download 1.5 Equations

 Review
your 1.1-1.3 Quiz
 Make sure there are no grading errors on it
 Quiz corrections
 If there is anything you got wrong, it is worth
asking about


Learn from your mistakes
Concepts will reappear throughout all of Algebra
1(A/B)
1.
Simplify 8n + 9 + 3n.
2.
Use the Distributive Property to evaluate
5(z – 3) + 4z.
•
•
•
Check solutions to equations.
Solve equations with one variable
Solve equations with two variables.
 Equation:
An equation is made when an equal sign is
used between two expressions creating a
right and left side of the equation.
2+4
6
2+4=6
 Room
must be silent
 Indicate your answer by:

Putting

Putting
up if you see an
up if you see an
When
you take an equation and
replace the variables with
numbers, you can make the
statement either
or
.
If it becomes true, then the
number is called a
of
the equation.
 Equation:
 Is
the number 1 a solution to the equation?
 Is
the number 2 a solution to the equation?
 Is
the number 3 a solution to the equation?
 Find
the solution set for 4a + 7 = 23 if the
replacement set is {2, 3, 4, 5, 6}.
Find the solution
set for 6c – 5 = 7
if the
replacement set
is {0, 1, 2, 3, 4}.
A. {0}
B. {2}
C. {1}
D. {4}
 This
means you found
of an equation.
x+2=5
Ask yourself the question, “What
number can be added to 2 to
obtain 5?”
Simplify the equation.
2. Combine like terms on each side.
3. Move all constants to one side.
4. Move all variables to the other side.
5. Divide both sides of the equation by the
coefficient of the variable.
EXAMPLE: Solve for x.
1.
(3  2)  5 x  x  13
Solve 3 + 4(23 – 2) = b.
 Raise
you hand and I will give you a notecard
to put your table from the replacement set
on.
 You will receive 2%pts added to your quiz.
 Thanks
for doing what I ask!!
Solve (42 – 6) + f – 9 = 12.
Solve 4 + (32 + 7) ÷ n = 8.
Solve 4n – (12 + 2) = n(6 – 2) – 9.
Solve 2n + 72 – 29 = (23 – 3 • 2)n + 29.
Dana pays $16 per month for a gym
membership. In addition, she pays $2 per
Pilates class. Write and solve an equation to
find the total amount Dana spent this month
if she took 12 Pilates classes.
c = 2p + 16
SHOPPING An online catalog’s price for a
jacket is $42.00. The company also charges
$9.25 for shipping per order. Write and
solve an equation to find the total cost of an
order for 6 jackets.
A.
c = 42 + 9.25; $51.25
B.
c = 9.25j + 42; $97.50
C.
c = (42 – 9.25)j; $196.50
D.
c = 42j + 9.25; $261.25
1.5
Practice (ALL)
Solve (5 + 8 ÷ 4) + 3k = 3(k + 32) – 89.