Warm­Up:
1) Simplify ­5 ­ (­9)
2) Find the additive inverse of 4.
Translate the sentence into an equation.
3) 52 plus four times c is as much as 21.
Section 2­2 & Section 2­3: One­Step Equation Solving
We can add or subtract a number from both sides of an equation and it will remain an equivalent equation.
Equivalent equations have same solutions.
Addition Property of an Equality:
For any real number a, b, and c, if a = b, then a + c = b + c
Subtraction Property of an Equality:
For any real number a, b, and c, if a = b, then a ­ c = b ­ c
Section 2­2 & Section 2­3: One­Step Equation Solving
We can add or subtract a number from both sides of an equation and it will remain an equivalent equation.
Equivalent equations have same solutions.
Multiplication Property of an Equality:
For any real number a, b, and c, if a = b, then (a)c = (b)c
Division Property of an Equality:
For any real number a, b, and c, if a = b, then a ÷ c = b ÷ c
Examples:
1) Write an equation for the problem. Then solve the equation.
Fourteen more than a number is equal to twenty­seven. Find the number.
Examples:
2) The Washington Monument in Washington, D.C. was built in two phases. During the first phase, the monument was built to a height of 152 feet. During the second phase, additional construction resulted in the monument's final height of 555 feet. How much of the monument was added during the second construction phase? Write an equation and solve the problem.
Examples:
3) Write an equation for the problem. Then solve the equation.
Negative fourteen times a number equals 224.
Examples:
4) Mr. Hill's farm is 126 acres. Mr. Hill's farm is 1/4 the size of Mr. Miller's farm. How many acres is Mr. Miller's farm?
Homework: pg. 82­84 #14­30 even, 53, 54
pg. 88­90 #14, 16, 20, 26­38 even, 47, 48, 57, 58
Section 2­2 Vocab