Solving Linear Equations with Rational Coefficients

What is the next step to solve this equation?
3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

What is the next step to solve this equation?
n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the next step to solve this equation?
3x + 6 = 10 + 7x

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 7x to both sides of the equation

• Subtract 3x from both sides of the equation

What is the next step to solve this equation?
-4x + 6 = 10

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 4x to both sides of the equation

• Subtract 6 from both sides of the equation

0.5n + 8.7 = 12.35

• -8.3

• 8.3

• 7.3

• 16

–14.3 = –1.4 – 3d

• -5.2

• 5.2

• -4.3

• 4.3

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

In order to solve an equation, we must get variables on side of an equation, and constants on the opposite side.

• True

• False