What we will learn Solve linear equations using addition and subtraction Solve linear equations using multiplication and division Use linear equations to solve reallife problems Needed Vocab Equation ID: 750662
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Slide1
1.1 Solving One step EquationsSlide2
What we will learn
Solve linear equations using addition and subtraction
Solve linear equations using multiplication and division
Use linear equations to solve real-life problemsSlide3
Needed Vocab
Equation:
statement that two expressions are equal
Linear equation in one variable:
ax + b = 0
Solution:
value that makes equation true
Equivalent equations:
equations that have the same solution
Inverse operations:
do
the oppositeSlide4
Ex. 1 solving by Adding/subtracting
Solve each equation
Do the opposite
X – 3 = -5
+3 +3
X = -2
.9 = y + 2.8
-2.8 -2.8-1.9 = y
Same sign, add and keep sign
Different sign, subtract and keep sign of bigger numberSlide5
Your Practice
Solve
n + 3 = -7
-3 -3
n = -10
Solve
-6.5 = p + 3.9
-3.9 -3.9
-10.4 = p
Slide6
Ex. 2 Solve by Multiply/divide
Solve each equation
1.3z = 5.2
Divide by 1.3
z = 4
-
3
Multiply by -5
Always want letter to be positive
n = 15
When multiplying or dividing two negatives or two positives, the answer will be positive
When multiplying or dividing a negative and a positive, the answer will be negativeSlide7
Your practice
Solve
y = -18
Solve
.05w = 1.4
w = 28
Slide8
Exs
. 3 and 4 Story problems
A discounted amusement park ticket costs $12.95 less than the original price p. You paid $44. Write and solve an equation to find the original price.
Ticket = original – 12.95
44 = p – 12.95
+12.95 +12.95
56.95 = p
The temperature at 5 pm is 20 F. The temperature at 10 pm is -5 F. How many degrees did the temperature fall?
t = 20 – (-5)
t = 25