91Ó°ÊÓ

NUMBER SENSE Three times the sum of three consecutive integers \(x\) \(x+1,\) and \(x+2,\) is 72. What are the integers?

Writing in Math Why is the Distributive Property important for solving equations? Include in your answer a definition of the Distributive Property and a description of its use in solving equations.

Provide a counterexample to the statement, "All numbers less than 0 are negative integers."

Write four examples of inequalities, each using one of the symbols \(<,>, \leq,\) and \(\geq .\) Tell the meaning of each inequality.

Sandra's scores on the first five science tests are shown in the table. Which inequality represents the score she must receive on the sixth test to have an average score of more than \(88 ?\) A \(s \geq 86\) \(\mathbf{B} s \leq 88\) \(C s<88\) \(\mathbf{D} s>86\) $$\begin{array}{|c|c|}\hline \text { Test } & \text { Score } \\\\\hline 1 & 85 \\\\\hline 2 & 84 \\\\\hline 3 & 90 \\ \hline 4 & 95 \\\\\hline 5 & 88 \\\\\hline\end{array}$$

Use the Distributive Property to rewriteh expression as an equivalent algebraic expression. \(2(1.2 c+14)\)

Isabel is putting water into a 20 -gallon fish tank using a 2-quart pitcher. How many pitchers of water will she need to fill the tank?

Solve each equation. Check your solution. $$3 x+5=7-2 x$$

Solve each inequality. Check your solution. $$c+18 \leq-2$$

Solve each equation. Check your solution. $$2(3+x)=14$$