# Equivalent Equations Solving Algebraic Equations RealWorld Equations Solving

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

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