2.1 Combine Like Terms to Solve Equations

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve: 3c + 5 = 23

Back

c = 6

Front

What is the first step to solve the equation 0.8x + 0.6x = 42?

Back

Combine like terms: 1.4x = 42.

Front

Solve: 0.8x + 0.6x = 42

Back

x = 30

Front

What is the solution to the equation -4x + 1 = 21?

Back

x = -5

Front

How do you isolate the variable in the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms to get 7y - 1 = -8, then isolate y.

Front

Solve: 3y + 6 + 4y - 7 = -8

Back

y = -1

Front

What is the process to solve the equation 7r - 6.5r = -20.5?

Back

Combine like terms to get -0.5r = -20.5.

Front

Solve: 7r - 6.5r = -20.5

Back

r = -41

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value.