2.1 Writing and Interpreting Equations
Write an equation to represent the situation: A number x increased by 5 equals 12.
What is x + 5 = 12?
Solve the equations x + 3 = 10.
What is x = 7?
Solve the equation 3x = 15.
What is x = 5?
Solve the equation 4x + 7 = 27.
What is x = 5?
Solve the equation 2x + 5 = 3x - 4.
What is x = 9?
Write an equation for the following situation: Three times a number y is equal to 15.
What is 3y = 15?
Solve the equation y - 4 = 3.
What is y = 7?
Solve the equation y/4=3
What is y = 12?
What is x = 8?
Solve the equation 4x - 7 = 2x + 5.
What is x = -6?
Write an equation for the following scenario: The sum of a number x and 7 is equal to twice the number x.
What is x + 7 = 2x?
Solve the equations z + 8 = 16.
What is z = 8?
Solve the equation 8a = 64.
What is a = 8?
Solve the equation 3x - 2(5 - x) = 4.
What is x = 4?
Solve the equation 3(x + 2) = 2 (x + 5).
What is x = 0.5 or 1/2?
Write an equation to represent the situation: The difference between three times a number m and 4 equals 8.
What is 3m - 4 = 8?
Solve the equation m - 4 = 9.
What is m = 13?
Solve the equation 2/3y=6
What is y = 9?
Solve the equation 3 = 2(3x +1) - 5x
What is x = 1?
Solve the equation 2x + 5 + 3x = 5(x -1).
What is no solution?
A rectangle has a length that is twice its width w. Write an equation for the perimeter P of the rectangle in terms of w.
What is P = 2(w + 2w) = 6w?
What is a = 8?
Solve the equation 0.4z = 30.8.
What is z = 77?
Solve the equation 8 - 3(2x - 4) = 1
What is x = 1?
Solve the equation 2(x - 3) = 2(x + 1) - 8.
What is infinite solutions (identity)?