Bellwork
Reminder!!! Step 1: Complete the distributive property. Step 2: Combine like terms. Terms on the same side of the equal sign. Step 3: Move all variables to one side of the equal sign and all constants to the other side of the equal sign. Use addition and/or subtraction Step 4: Solve for the value of the variable.
REVIEW 1 Solve. Solution: Check: Using the Four Steps to Solve an Equation Solve. Solution: Check: The solution set of the equation is {1}.
REVIEW 2 Solve. Solution: Check: Using the Four Steps to Solve an Equation Solve. Solution: Check: The solution set of the equation is {−1}.
WAIT!!! What happens if there are decimals in the equation? No worries! You can use the same four steps! Distributive property 1 – 1.5x = 4.5 – 0.1x – 0.7 Combine like terms 1 – 1.5x = 3.8 – 0.1x Variables and constants -1.4x = 2.8 Solve x = -2
What if I don’t like decimals? No problem – you can eliminate them easily! Identify the furthest place value in your equation, (tenths, hundredths, etc.) Multiply each TERM by that place value. Tenths place = multiply each term by 10 Hundredths place = multiply each term by 100 Watch what happens…
Now, use the same four steps! Furthest place value = tenths place so, multiply each term by 10 (10) 0.5(2 – 3x) = (10) 4.5 – (10) 0.1(x + 7) 5(2 – 3x) = 45 – 1(x + 7) Now, use the same four steps! Distributive property 10 – 15x = 45 – x – 7 Combine like terms 10 – 15x = 38 – x Variables and constants -14x = 28 Solve x = -2
What would you multiply by?
What would you multiply by? Solve each equation: 9.47x = 7.45x – 8.81 2w – 0.4 = 1 + 0.7w + 1.1w 7.87 - 9.65x = 8.52x - 3.21 39.21x + 2.65 = 42.03x 0.6(10n – 3) = 1.5(n + 2) – 0.3 0.5(p + 3) = 3(0.1 + 0.16p)