Download presentation

Presentation is loading. Please wait.

1
**Equations and Their Solutions**

2-4 Equations and Their Solutions Warm Up Problem of the Day Lesson Presentation Course 1 Course 1

2
**Warm Up Evaluate each expression for x = 8. 1. 3x + 5 2. x + 8**

29 16 9 16 55 5

3
Problem of the Day Complete the magic square so that every row, column, and diagonal add up to the same total. 10 7 4 9 2 8 6 12 5

4
**Learn to determine whether a number is a solution of an equation.**

5
Vocabulary equation solution

6
**An equation is a mathematical statement that two quantities are equal**

An equation is a mathematical statement that two quantities are equal. You can think of a correct equation as a balanced scale. 3 + 2 5

7
**s = 12 is a solution because 12 + 15 = 27. **

Equations may contain variables. If a value for a variable makes an equation true, that value is a solution of the equation. s + 15 = 27 s = 12 s = 10 27 27 s = 12 is a solution because = 27. s = 10 is not a solution because 27.

8
**Additional Example 1A: Determining Solutions of Equations**

Determine whether the given value of the variable is a solution. b — 447 = 1,203 for b = 1,650 b — 447 = 1,203 1,650 — 447 = 1,203 ? Substitute 1,650 for b. 1,203 = 1,203 ? Subtract. 1,203 Because 1,203 = 1,203, 1,650 is a solution to b — 447 = 1,203.

9
**Additional Example 1B: Determining Solutions of Equations**

Determine whether the given value of the variable is a solution. 27x = 1,485 for x = 54 27x = 1,485 27 54 = 1,485 ? Substitute 54 for x. 1,458 = 1,485 ? Multiply. 1,458 1,485 Because 1,458 1,485, 54 is not a solution to 27x = 1,485.

10
**Determine whether the given value of the variable is a solution.**

Check It Out: Example 1A Determine whether the given value of the variable is a solution. u + 56 = 139 for u = 73 u + 56 = 139 = 139 ? Substitute 73 for u. 129 = 139 ? Add. 129 139 Because 129 139, 73 is not a solution to u + 56 = 139.

11
**Determine whether the given value of the variable is a solution.**

Check It Out: Example 1B Determine whether the given value of the variable is a solution. 45 g = 3 for g = 15 45 g = 3 45 15 = 3 ? Substitute 15 for g. 3 = 3 ? Divide. 3 Because 3 = 3, 15 is a solution to 45 g = 3.

12
Additional Example 2 Paulo says that his yard is 19 yards long. Jamie says that Paulo’s yard is 664 inches long. Determine if these two measurements are equal. 36 yd = in. 36 19 = 664 ? Substitute. 684 = 664 ? Multiply. Because 684 664, 19 yards are not equal to 664 inches.

13
Check It Out: Example 2 Anna says that the table is 7 feet long. John says that the table is 84 inches long. Determine if these two measurements are equal. 12 ft = in. 12 7 = 84 ? Substitute. 84 = 84 ? Multiply. Because 84 = 84, 7 feet is equal to 84 inches.

14
Lesson Quiz Determine whether the given value of each variable is a solution. 1. 85 = 13x for x = 5 2. w + 38 = 210 for w = 172 3. 8y = 88 for y = 11 4. 16 = w 6 for w = 98 no yes yes no 5. The local pizza shop charged Kylee $172 for 21 medium pizzas. The price of a medium pizza is $8. Determine if Kylee paid the correct amount of money. (Hint: $8 • pizzas = total cost.) no

Similar presentations

OK

Warm Up Evaluate each expression for x = 1 and y =–3. 1. x – 4y 2. –2x + y Write each expression in slope-intercept form, then then graph. 3. y – x = 1.

Warm Up Evaluate each expression for x = 1 and y =–3. 1. x – 4y 2. –2x + y Write each expression in slope-intercept form, then then graph. 3. y – x = 1.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Download ppt on orthogonal frequency division multiplexing Ppt on conservation of water resources Alternative fuels ppt on automobiles Ppt on different types of dresses in india Ppt on sports day activities Ppt on nitrogen cycle and nitrogen fixation lightning Ppt on australian continent facts Ppt on unity in diversity dance Ppt on restaurant business plan Ppt on sound physics class 9