Lesson 2 1 Writing Equations Algebra 1 CP

Lesson 2. 1: Writing Equations Algebra 1 CP Mrs. Mongold

Things to remember when writing equations

Things to remember when writing equations 1. Use variables to represent the unspecified numbers or measures (unknowns)

Things to remember when writing equations 1. Use variables to represent the unspecified numbers or measures (unknowns) 2. Turn the words into an equation

Things to remember when writing equations 1. Use variables to represent the unspecified numbers or measures (unknowns) 2. Turn the words into an equation 3. Remember some key terms

Things to remember when writing equations 1. Use variables to represent the unspecified numbers or measures (unknowns) 2. Turn the words into an equation 3. Remember some key terms Addition - sum - plus - increased - more than Subtraction -Difference -Less than -Fewer -decreased Equals -Is -was

4 Step Plan 4 Steps to Problem Solving

4 Step Plan 4 Steps to Problem Solving ◦ Explore the problem (read the whole thing)

4 Step Plan 4 Steps to Problem Solving ◦ Explore the problem (read the whole thing) ◦ Plan the solution (write the equation)

4 Step Plan 4 Steps to Problem Solving ◦ Explore the problem (read the whole thing) ◦ Plan the solution (write the equation) ◦ Solve the problem

4 Step Plan 4 Steps to Problem Solving ◦ ◦ Explore the problem (read the whole thing) Plan the solution (write the equation) Solve the problem Check the solution (does it make sense? )

Examples 1. Two plus the quotient of a number and 8 is the same as 16

Examples

Examples 2. Twenty-seven times k is h squared decreased by 9

Examples 2. Twenty-seven times k is h squared decreased by 9 27 k = h 2 – 9

Examples 3. Five times the number a squared is three times the sum of b and c

Examples 3. Five times the number a squared is three times the sum of b and c 5 a 2 = 3(b + c)

Examples 4. Nine times a number subtracted from 95 equals 37

Examples 4. Nine times a number subtracted from 95 equals 37 95 - 9 n = 37

Real-World Problem The first ice cream plant was established in 1851, by Jacob Fussell. Today, 2, 000 gallons of ice cream are produced in the United States each day. In how many days can 40, 000 gallons of ice cream be produced in the United States?

Real-World Problem The first ice cream plant was established in 1851, by Jacob Fussell. Today, 2, 000 gallons of ice cream are produced in the United States each day. In how many days can 40, 000 gallons of ice cream be produced in the United States? 2, 000 d = 40, 000

Real World Problem There are 50 members in the North Carolina Senate. This is 70 fewer than the number in the North Carolina House of Representatives. How many members are in the North Carolina House of Representatives?

Real World Problem There are 50 members in the North Carolina Senate. This is 70 fewer than the number in the North Carolina House of Representatives. How many members are in the North Carolina House of Representatives? 50 = x - 70

Example Write a problem Write your own word problem based on the given information. a= Rafael’s age, a+5= Tierra’s age, a+2(a+5)=46

Translate each equation into verbal sentences. ◦ 1. 3 m+5=14

Translate each equation into verbal sentences. ◦ 1. 3 m+5=14 ◦ Three times a number plus five is fourteen

Translate each equation into verbal sentences. ◦ 2. w + v = y 2

Translate each equation into verbal sentences. ◦ 2. w + v = y 2 ◦ The sum of two numbers is equal to the square of a third number

Translate each equation into verbal sentences. ◦ 3. 13 = 2 +6 t

Translate each equation into verbal sentences. ◦ 3. 13 = 2 +6 t ◦ Thirteen is equal to 2 plus the product of 6 and a number

Translate each equation into verbal sentences. ◦ 4. ½ n + 5 = n- 7

Translate each equation into verbal sentences. ◦ 4. ½ n + 5 = n- 7 ◦ One-half a number plus five is equal to that same number minus seven

How to use a formula

How to use a formula ◦ 1. Write the formula

How to use a formula ◦ 1. Write the formula ◦ 2. Substitute for any known variables

How to use a formula ◦ 1. Write the formula ◦ 2. Substitute for any known variables ◦ 3. Solve the equation

How to use a formula ◦ ◦ 1. Write the formula 2. Substitute for any known variables 3. Solve the equation 4. Check the answer (does it make sense? )

Important Formulas Perimeter=2 l+2 w Area of a Square= lw or s 2 Area of a Triangle= ½ bh Area of a Circle= πr 2

Homework Chapter 2 Packets pgs 7 and 8 Evens