Solving Linear Equations

1. Match the following vocabulary terms with its definition or example. Equation two mathematical expressions with an equal sign Like Terms terms with the same variable and exponent (could also just be constants) Expression mathematical phrase containing numbers or variables or operations but no equal sign Coefficient number in front of a variable term Constant a number term with no variable One Solution x = 5 No solutions -3 = 8 Infinite Solutions -7 = -7 2. Which of the following is a 2-step equation? x + 9 = 21 x = 11 2x = 18 2x + 9 = 21 3. Evaluate 5(2g +7m) for g=4 and m=9. (hint: substitute the values in and follow PEMDAS) 65 75 123 355 4. Which of the following equations has no solution? 10x + 3x = 3 + 10x 4(2x - 3) = 8x - 12 -8x + 16 = 16x - 8 3(-2x + 4) = -6x - 12 5. Find the solution of 2x +4 = 4 x = -4 x = 8 x = 0 x = 2 6. Which of the following shows a simplified expression of 13 + 8x -20 + 4x 23 + 12x 7 + 4x 12x - 7 4x + 7 7. Which of the following shows like terms? x and 5 2x and 2 xy and 2yz -5x and 8x 8. Solve 5(x - 3) + 7x = 45 4 5 6 7 9. Solve 14 + 56x -22 = 8(7x - 1) x = -8 no solution infinitely many solutions x = 12 10. Fill in the blanks with the missing key wordfor the 5 steps to solve equations with variables on both sides: 1. Distribute to eliminate parentheses when necessary.2. Combine like terms when necessary.3. Get the variable on one side only.4. Undo the constantusing addition or subtraction.5. Undo the coefficientusing multiplication or division.