Absolute Value Equations

Solve.

 $\left|x\right|=7$  

Which equation matches the solutions graphed?

•  $x\ =\ 4$  

•  $x\le-4$  

•  $\left|x\right|=4$  

•  $-4\le x\le4$  

 $\left|x\ +\ 6\right|=0$  has ______ solution(s).

• 2 solutions

• no solutions

• 1 solution

 $\left|2x\ +8\right|=11$  has ____ solution(s).

• 2 solutions

• 1 solution

• no solutions

 $\left|\frac{x}{-3}-11\right|=-4$  has _____ solution(s).

• 2 solutions

• 1 solution

• no solutions

 $\left|7x\right|=-14$  

Determine the solution(s) to the equation.

• {-2, 2}

• {-14, 7}

• {-2}

• no solution

 $\left|x\ +8\right|=\ 3$  
Determine the solution(s) to the equation.

• {3,5}

• {-5, -11}

• {5, 11}

• {-3,3}

 $\left|3x-2\right|=7$  

Determine which two equations to use to solve the equation.

• 3x - 2 = 7

• -3x - 2 = 7

• -(3x - 2) = 7

• 3x + 2 = 7

 $\left|2x\ -\ 7\right|=5$  

Determine the solution(s) to the equation.

• {-5, 5}

• {1, 6}

• {-1, 6}

• { -6, 6}

 $\left|2x\ +\ 5\right|=0$  

Determine the solution(s) to the equation.

• {0}

• { $\frac{5}{2},\ -\frac{5}{2}$  }

• { $-\frac{5}{2}$  }

• { $-\frac{2}{5}$  }

• { $\frac{5}{2}$  }