Use inverse operations. Check your answer. 1. x – 17 = 32 2. 41 = y + 11 3. 12x = 108 4. 5. x – 9 = -21 Math Fact!! Chinese mathematicians had developed a decimal system by 100 BCE. It included fractions, zero, and negative numbers Y = 30 X = 49 X = 9 W = 90 X = -12

Use inverse operations. Check your answer. 1. x – 17 = 32 2. 41 = y + 11 3. 12x = 108 4. 5. x – 9 = -21 + 17 +17 X+0 = 49 x = 49 - 11 -11 30 = y y = 30 12 12 1x = 9 x = 9 ∙ 5 ∙5 90 = 1w w = 90 + 9 +9 X+0 = -12 x = -12

Multiply/Divide Equations Equations Solve each equation using inverse operations. Use substitution to check your solution. * Model all starred equations 1. 3d = 57 2. 3. 1.5q = 45 4. -8p = 88 5. 6. 7. 8. 9. Fred gathered 150 eggs in a week. This is half the number he normally gathers. Write and solve an equation to describe, e, the amount of eggs he normally gathers. 10. On Black Friday, Mrs Shaw spent $56.80 on headphones for her $14.20 each. Write and solve an equation to describe h, the number of headphones she bought. q = 30 d = 19 x = 9 p = -11 h = 54 m = 30 b = -24 d = 3 e/2 = 150 E = 300 14.20h = 56.80 H = 4

Learn to solve two-step equations. Here’s a quick video for you to watch

You can model two step equations using Algebra tiles and the teeter totter. negative x = -x positive x = x positive 1 = 1 negative 1 = -1

So, what would 2x + 3 = 7 look like? = -1 = 1 Our goal is to isolate x so that we can find out its size. 2x + 3 = 7 Subtract 3 from both sides -3 -3 2x = 4 2 2 Divide both sides by 2 so that we can find out what 1x is equal to x = 2

So, what would 2x - 5 = -3 look like? = -1 = 1 Integer wars!!!! Our goal is again to isolate x, but… if we push off 5 reds on the left, we are going to have issues on the right. 2x - 5 = -3 Instead, let’s add 5 to both sides + 5 + 5 Now, we need to know how much each x weighs (divide by 2). 2x = 2 2 2 X = 1

Let’s see how Ms Powell does it! Click here!

Solve. Check each answer. – 3 –3 Subtract 3 from both sides. 9c = 36 9c 9 = 36 Divide both sides by 9. c = 4

Reverse the order of operations when solving equations that have more than one operation. Helpful Hint

Let’s do a problem from your homework… 1 2 k is being divided by -5 and having 1 subtracted To undo this… +1 +1 2 1 multiply by -5 and add 1 add 1

2 Step Equations Day One Solve each equation using inverse operations. Use substitution to check your solution. * Model all starred equations *1. 2. 3. *4. 5. 6. 7. Miss Ault’s furnace broke. A1 charged her $220 to fix it. Their website says they charge $30 hour and a that they have a service call fee of $40. Write and solve an equation to describe the number of hours, h, it took to fix her furnace. Get to work!!!!! 