Download Solving equations using addition and subtraction Properties

2.1 Algebra I
Solving equations using addition and subtraction
Properties:
Addition property of equality
Subtraction property of equality
Vocab:
Solution of the equation
Equivalent equations
Inverse operations
Ex. Solve b – 5 = 7 and check your answer.
Ex. Solve –30 = a + 5 and check your answer.
Date: __________________________
Solve the following and check your solution.
–18 = 6 + w
m – 10 = 2
–9 = b – 5
2
1
+y=
3
4
Solving equations using multiplication and division
Properties:
Multiplication property of equality
Division property of equality
Ex. Solve −
Ex. Solve
t
= −9.3 and check your answer.
6
2
y = −10 and check your answer.
5
Solve the following and check your answer.
n
=5
6
x
= 18
−3
1
− m=8
4
3
p = −15
8
Ex. Solve 6m = −42 and check your answer.
Ex. Solve 4 = –4x and check your answer.
Solve the following and check your answer.
3a = 12
–8 = 5y
Additional Practice
Solve the following and check your answer.
−
a
= −20
5
8 2
= a
15 5
y – 7.6 = 4
x+5=6
20 = –2x
6n = −22
2.2 Algebra I
Date: _______________________________
Solving Two-Step Equations
1)
2)
Solve the following and check your answer:
1) 6a – 2 = –8
2) 7 = 2y – 3
3) 3 – 5z = 18
4) 13 =
5)
x
− 15 = 12
9
y
+5
3
Multiplying by Negative 1
Solve the following and check your answer:
1) –x + 7 = 12
2) –a – 5 = –8
3) 4 = –c + 11
4) –p + 8 = 21
Application
Ex. You order roses from a catalog. Each rose costs $.90 each. The shipping charge is $2.50. If you have $18.50 to
spend, how many roses can you order?