Practice Solving Equations With Given Variables

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

• Ordered Pair

• Integer

• Ordered Triple

• Sum

Solve: 3x + 9 + 4x = -8(x - 6) - 8(13 + 5)

Mathematical Equivalence

ON

Given: 35 + 7x = -3(-5 - 4x), what would the equation look like after you distribute?

Mathematical Equivalence

OFF

Given: 2(x + 6) + 3 = 9 + 5x, what would the equation look like after you distribute?

Mathematical Equivalence

OFF

Given: 6x + 3 = 7x - 11 + x, what would the equation look like after you combine like terms?

Mathematical Equivalence

OFF

Solve: 7 + 5r + 3 + 5 = 1 + 7r

Mathematical Equivalence

ON

Solve: 7(1 + 4n) = 7(6 + 3n)

Mathematical Equivalence

ON

In the equation 5x + 3 = 2x + 9, what operation would you perform first to start isolating the variable?

• Subtract 2x from both sides

• Add 2x to both sides

• Subtract 3 from both sides

• Divide both sides by 5

After combining like terms and using inverse operations, what is the final step in solving equations with variables on both sides?

• Isolate the variable

• Combine like terms again

• Add the same number to both sides

• Multiply both sides by the variable