Solving Equations

Front

What is the first step to solve the equation 10 + 7m = 17?

Back

Subtract 10 from both sides.

Front

What is the second step to solve the equation 10 + 7m = 17 after subtracting 10?

Back

Divide by 7.

Front

What is the solution for x in the equation 12 = 4 - 4x?

Back

x = -2.

Front

What is the solution for y in the equation y + 8 = 20?

Back

y = 12.

Front

What is the solution for x in the equation 8x - 10 = -34?

Back

x = -3.

Front

What is the solution for r in the equation r + 1 + 6r = -20?

Back

r = -3.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of performing inverse operations when solving equations?

Back

To undo the operations applied to the variable and isolate it.

Front

What is an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

What is the principle of equality in solving equations?

Back

If you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.