1. A hanger has 5 identical bags of marbles, each with weight $m$, on the left side. It is balanced by a 30-gram weight on the right side. Which equation represents this?
2. A balanced hanger has a block of unknown weight $w$ and a 4.5-unit weight on its left side. The right side has a single 11.5-unit weight. Write the equation for this hanger. Use $w$ for the unknown weight. ___
3. A scale is balanced. On the left pan, there is a 42-ounce weight. On the right pan, there are 6 identical toy cars, each weighing $c$ ounces. Which equation correctly models this situation?
4. A balanced hanger has a total weight of 25 units on the left side. The right side holds a shape with an unknown weight, $p$, plus a 10-unit weight. Write an equation for this hanger. ___
5. On a balanced hanger, the left side holds a total weight of 9 pounds. The right side holds 4 identical packages, each with an unknown weight of $k$ pounds. Write the equation to model this. ___
6. A hanger is in balance. One side holds a bag of sand, $s$, and a 5-gram weight. The other side holds a total weight of 18 grams. Write the equation that represents this hanger. ___
7. On a balanced scale, the left pan contains 7 identical coins, each weighing $c$ grams. The right pan contains a total weight of 56 grams. Which equation represents this situation?
8. Solve the linear equation $18-(9r+7) = -16$. The value of $r$ is ___.
9. Solve the linear equation $-2(11-7x)+54 = 4$. What is the value of $x$? $x = $ ___
10. Solve the linear equation $6(10-2x)+54 = 0$. What is the value of $x$? $x = $ ___