Transcript 1-7 solving one-step equationsTROUT09

WU #6: Write as an algebraic expression
1)
2k 2)
3)
4)
5)
Three more than x 3  x
Twice as big as k
y

7
Seven fewer than y
The quotient of 3 and m 3  m 3
The difference between p and t or
p t
m
X/C: Alice thinks there are 46 beans in a
jar; Sam thinks 40; Joan thinks 28. One of
them is wrong by one; the others were off
by 7 and 11. How many are in the jar?
X/C: Alice thinks there are 46 beans in a
jar; Sam thinks 40; Joan thinks 28. One of
them is wrong by one; the others were off
by 7 and 11. How many are in the jar?
Alice
46
Sam
41
40
39
28
Joan
1.7 Intro to Solving Equations
Objective:
1.) to determine whether an equation is true,
false, or open
2.)to find solutions sets of an equation
3.)to recognize equivalent equations
Equation
Mathematical sentence that uses an equal
sign to state that two expressions represent
the same number.
True: 3 + 7 = 10
False: 3 – 7 = 10
OPEN: equation that contains at least one
variable: m + 9 = 210
Equation
Solution: a replacement number
for a variable that makes an
equation true. 5 is a solution for
the equation x + 3 = 8.
The collection of all solutions to
an equation is called its Solution
Set.
Is 7 a solution for the equation
3k + 2 = 23
3 • 7 + 2 = 23 is
TRUE
Is 6 a solution for the equation
5r – 9 = 17
5 • 6 - 9 = 21
Not a solution
Solve for the given replacement set:
5x  3  282,5,8
5 5  3  28
Solve for the given replacement set:
3x  5  323,6,9
Substitute each number to
find which one(s) work.
3  9  5  32
Equivalent Equations
Two equations are equivalent if one
can be changed into the other by:
Add the same number to both sides of
the equation.
Subtract the same number from both
sides.
Multiply both sides by the same
number.
Divide both sides by the same number
Each pair of equations is equivalent.
What was done to the first equation
to get the second one?
x+2=5
x + 7 = 10
Each pair of equations is equivalent.
What was done to the first equation
to get the second one?
x+2=5
+5 +5
x + 7 = 10
Each pair of equations is equivalent.
What was done to the first equation
to get the second one?
k-4=7
k = 11
Each pair of equations is equivalent.
What was done to the first equation
to get the second one?
k-4=7
+4 +4
k = 11
Homework
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