Solving Equations

Front

What is the solution to the equation 3r - 5 = 2r?

Back

r = 5

Front

Solve the equation -11 + 3(b + 5) = 7.

Back

b = 1

Front

What is the value of a in the equation 33 = 4a - 7?

Back

a = 10

Front

Solve the equation 4x + 3 = -5.

Back

x = -2

Front

What is the solution to the equation -3a + 8 = 14?

Back

a = -2

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.

Front

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

Back

To isolate a variable means 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 principle of equality in solving equations?

Back

The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

What is a solution set?

Back

A solution set is the set of all values that satisfy an equation.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with x.