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Problem 7

Solve each equation by doing the same thing to both sides. $$ 2 x+3=x+5 $$

Problem 8

List five values that satisfy each inequality. Include negative and positive values, if possible. $$1 \leq-x \leq 5$$

Problem 8

The equation \(x^{3}+5 x^{2}+4=5\) has a solution between \(x=0\) and \(x=1 .\) Find this solution to the nearest tenth.

Problem 8

Solve the systems of equations in Exercises \(8-11\) by elimination, and check your solutions. Give the following information: \(\cdot\) which variable you eliminated \(\cdot\) whether you added or subtracted equations \(\bullet\) the solution $$ \begin{array}{l}{x+y=12} \\ {x-y=6}\end{array} $$

Problem 8

Solve each equation by doing the same thing to both sides. $$ 7 y-4=4 y-13 $$

Problem 9

List five values that satisfy each inequality. Include negative and positive values, if possible. $$|q|<5$$

Problem 9

Solve the systems of equations in Exercises \(8-11\) by elimination, and check your solutions. Give the following information: \(\cdot\) which variable you eliminated \(\cdot\) whether you added or subtracted equations \(\bullet\) the solution $$ \begin{array}{l}{3 p+2 q=13} \\ {3 p-2 q=-5}\end{array} $$

Problem 9

Simplify and solve each equation. $$ 4-2(-5 a-10)=30 $$

Problem 10

Solve the systems of equations in Exercises \(8-11\) by elimination, and check your solutions. Give the following information: \(\cdot\) which variable you eliminated \(\cdot\) whether you added or subtracted equations \(\bullet\) the solution $$ \begin{array}{l}{5 a+4 b=59} \\ {5 a-2 b=23}\end{array} $$

Problem 10

List five values that satisfy each inequality. Include negative and positive values, if possible. $$0 \leq|b| \leq 6$$

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