Level 3__Equations and the Distributive Property

Master equations with the Distributive Property! Solve and simplify.

1.) Solve: 3x + 9 = -3. -1 +4 -2 -4 2.) Which equation has a solution of 7? 4x - 3 = 25 4x - 3 = -31 7x + 3 = 45 7x + 3 = -39 3.) Use the Distributive Property: 5(x + 3) - 5x. 3 15 3 + 10x 15 - 10x 4.) Simplify by using like terms: 7m + 8 - 5m + 4 5.) Solve by using the Distributive Property: 5(x + 4) = 30. x = - 2 x = 3 x = 10 x = 2 6.) Which equation goes with this diagram: | x + 3 | x + 3 | x + 3 | x + 3 | - 10 |------------------- 18 ---------------- 3x - 10 = 18 4x - 18 = 10 4x + 2 = 18 4x - 2 = 18 7.) Jenny put some caramels in 4 bags. Then she put 3 more caramels in each bag. Her sister took out some caramels.How many caramels did her sister take out?| x + 3 | x + 3 | x + 3 | x + 3 | - 10 |------------------- 18 -------------------- 3 4 18 10 8.) Write and solve an equation for the situation in problem 7. Explain the meaning of your answer. 9.) Simplify using like terms: 7x + 9 - 10 + 3x 10x - 1 10x - 19 10x + 19 16x - 13 10.) Simplify using the Distributive Property: 2(4x + 9) - 15 + 3x 8x - 6 11x + 3 9x - 6 11x + 6 11.) Which equation goes with the following tape diagram?| x + 2 | x + 2 | x + 2 | x + 2 | - 5 |--------------- 35 ----------------------- 4x + 3 = 35 4x - 3 = 35 8x - 5 = 35 4x - 30 = 8 12.) Write and solve an equation for the following tape diagram.| x + 1 | x + 1 | x + 1 | 18 |-------------- 30 -------------- 13.) A family of 3 people go to a museum. They have coupon for $2.50 off of each admission ticket. At the end, they paid $14.70. Which tape diagram goes with that situation? 14.) In problem 13, what was the price of one ticket before the discount? $2.40 $7.50 $7.40 $36.60 15.) For the following hanger, what is the equation for that situation? 3x + 12 = 36 x + 4 = 36 x + 36 = 12 3x - 12 = 36 16.) Find the solution for your equation in problem 15.