 # Equivalent Equations Solving Algebraic Equations RealWorld Equations Solving

• Slides: 22 Equivalent Equations Solving Algebraic Equations Real-World Equations Solving Algebraic Inequalities Real-World Inequalities 200 200 200 400 400 400 600 600 600 800 800 800 ANSWERS 200 Are the following equations equivalent? 2 x – 3 = 5 and x = 4 Back 400 Are the following equations equivalent? 2 x + 9 = 7 and 2 x = 2 Back 600 Are the following equations equivalent? 5 x – 4 + 3 x = 8 and 8 x = 12 Back 800 • Back 200 Solve the equation: 7 c – 11 = 17 Back 400 Solve the equation: 1. 5 d + 3. 2 = 9. 2 Back 600 Solve the equation: 8 h – 5 = 11 h – 14 Back 800 Solve the equation: 3(6 – 4 x) – 27 x = 10 x – 31 Back 200 Write and solve an equation: Ella plans to buy a laptop for \$1, 345 in 12 weeks. She has already saved \$145. How much should she save each week so she can buy the laptop? Back 400 Write and solve an equation: Two identical isosceles triangles each have a base of 50 ft and the other two sides are x ft long. If the combined perimeter of both triangles is 242, find the value of x. Back 600 Write and solve an equation: A plant grows at a rate of 4. 5 cm per week. It is now 12 cm tall. If the plant continues to grow at the same rate, in how many weeks will it reach a height of 48 cm? Back 800 Write and solve an equation: The cost of seeing a weekday show is 2/3 the cost of a weekend show. In one month, Andy spent \$42. 50 for 4 weekday shows and 3 weekend shows. Find the price of a weekday show and a weekend show. Back 200 Solve and graph the inequality: 2 > x – 12 Back 400 Solve and graph the inequality: 8 – 4 x > 12 – 3 x Back 600 Solve and graph the inequality: 1. 7 x + 5 < 16 + 0. 7 x Back 800 • Back 200 Write and solve an inequality: The average of 87, 90, 89 and a fourth number is at least 90. Describe the value of the fourth number Back 400 Write and solve an inequality: Charlie wants to join a golf club. Club A offers \$80 for a new membership fee plus \$45 per month. Club B offers \$110 for a new membership fee plus \$30 per month. After how many months will Club B be less expensive than Club A? Back 600 Write and solve an inequality: Party favors are on sale for \$2. 40 each. You have \$380 to spend on the decorations and gifts, and you have already spent \$270 on decorations. How many party favors can you buy? Back 800 Write and solve an inequality: The coach of a hockey team can spend at most \$475 on new team uniforms. He will order the uniforms online and pay a mailing cost of \$6. 50. If each uniform costs \$29, how many uniforms can he order? Back ANSWERS Equivalent Equations Solving Algebraic Equations Real-World Equations Solving Algebraic Inequalities Real-world inequalities YES C = 4 \$100 per week X < 14 Atleast 94 Open point, to left NO D = 4 35. 5 feet X < -4 After 2 Open point, to months left YES H = 3 8 weeks X < 11 At most 45 Open point, to favors left YES X = 1 Weekday: \$5 Weekend: \$7. 50 X ≥ 7, closed point, to right At most 16 uniforms