Solving Algebraic Equations Real-World Equations Equivalent Equations Solving Algebraic Equations Real-World Equations Solving Algebraic Inequalities Real-World Inequalities 200 200 200 200 200 400 400 400 400 400 600 600 600 600 600 800 800 800 800 800 ANSWERS

Are the following equations equivalent? 200 Are the following equations equivalent? 2x – 3 = 5 and x = 4 Back

Are the following equations equivalent? 400 Are the following equations equivalent? 2x + 9 = 7 and 2x = 2 Back

Are the following equations equivalent? 600 Are the following equations equivalent? 5x – 4 + 3x = 8 and 8x = 12 Back

Are the following equations equivalent? 800 Are the following equations equivalent? 𝟑 𝟒 𝒙−𝟕=𝟐 and 𝟏 𝟐 𝒙=𝟔 Back

200 Solve the equation: 7c – 11 = 17 Back

400 Solve the equation: 1.5d + 3.2 = 9.2 Back

600 Solve the equation: 8h – 5 = 11h – 14 Back

800 Solve the equation: 3(6 – 4x) – 27x = 10x – 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

Write and solve an equation: 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

Solve and graph the inequality: 200 Solve and graph the inequality: 2 > x – 12 Back

Solve and graph the inequality: 400 Solve and graph the inequality: 8 – 4x > 12 – 3x Back

Solve and graph the inequality: 600 Solve and graph the inequality: 1.7x + 5 < 16 + 0.7x Back

Solve and graph the inequality: 800 Solve and graph the inequality: 𝟐 𝟑 𝒙+𝟐≥𝟗− 𝟏 𝟑 𝒙 Back

Write and solve an inequality: 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

Write and solve an inequality: 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

Write and solve an inequality: 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

Write and solve an inequality: 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 Open point, to left Atleast 94 NO D = 4 35.5 feet X < -4 After 2 months H = 3 8 weeks X < 11 At most 45 favors X = 1 Weekday: $5 Weekend: $7.50 X ≥ 7, closed point, to right At most 16 uniforms