Review Evaluate 4x2 – 16 when x = 5 {(9 – 7)2 + 5} + 26 A t-shirt company charges $15 per shirt and offers $200 off for orders higher than 50 shirts. Write and expression that represents the cost of 75 shirts. Evaluate your expression to find the cost.
1.4 equations and inequalities Objective: Students should know how to check to see if a number can be a solution to an equation or inequality. Students should be able to know what each part of an equation and inequality are.
Notes Equation: = sign between two expressions. Ex: 3x + 2 = 5 Open sentence: equation with one or more variables. Check if 2 and 3 are solutions to the problem 3x + 1 = 7
Check solutions Is 2, 3, and 4 a solution to 4x -2 = 10? Is 6 a solution to 20 = 2x -8?
Use Mental Math to solve X – 5 = 8 X / 7 = 3
Use Mental Math 24 – x = 15 X + 2 = 12 4x = 32 3x + 7 = 22
Information Inequality: inequality sign instead of = sign. Signs of inequality < less than > greater than ≥ greater/equal to ≤ less/equal to Solution of inequality: numbers that prove inequality.
Is 4 a solution to the inequality? 2x – 1 < 8 X – 3 ≥ 1
Check to see if solutions X – 5 ≤ 7, when x = 12 9 + x > 13, when x = 4 4x + 1 < 8, when x = 2 X2 + 7 ≥ 10, when x = 2
Word Problems School is replacing lockers. When the old ones are removed there is a space 200 inches long. Each new locker has a width of 8 in. You want to know how many new lockers will be installed. You write the equation 8x = 200. What does the 8, x, and 200 stand for? Solve.
Word problems You are budgeting for a video game system that costs $145. If you save $5 a week will you have enough money after 6 weeks? You write the inequality 5n ≥ 145. What does the 5, n, and 145 stand for? Solve
Wrap up Questions/Comments Hw: Text pg. 27-30, #’s: 1-6, 14-19, 26-31 (just solve using mental math), 38-43, 56-64, 66