Textbook pages 69 & 73 IAN pages 91 & 95
Each side of the equation must be balanced. We balance an equation by doing the same thing to both sides of the equal sign.
Example 1 Solve each equation. Check your answers. Solving Multiplication Equations (A) 3x = 12 Do the opposite ÷3 Do the same thing to both sides of the equation. x = 4 3(4 ) = 12 To check your work, substitute in the value of x. ÷3
Example 1 Solve each equation. Check your answers. Solving Multiplication Equations (B) 8 = (-4)w Do the opposite Do the same thing to both sides of the equation. ÷ (-4) -2 = w 8 = (-4)(-2) To check your work, substitute in the value of w. ÷ (-4)
1. 7x = = 3w = 10a = 7b 5. 3c = = (-2)n x = 3 w = -9 a = 9 b = -8 c = 11 n = -6
Example 1 Solve each equation. Check your answers. Solving Division Equations (A) y/5 = 4 Do the opposite * 5 Do the same thing to both sides of the equation. * 5 y = /5 = 4 To check your work, substitute in the value of y.
Example 1 Solve each equation. Check your answers. Solving Division Equations (B) (-12) = z/4 Do the opposite * 4 Do the same thing to both sides of the equation. * = z -12 = (-48)/4 To check your work, substitute in the value of y.
1. y/4 = = z/ = c/(-6) = b/5 5. r/9 = = n/3 y = 12 z = -28 c = 180 b = -70 r = -63 n = 36