Pre-Algebra Solving Equations

-6(-5r +6) + 3r = -69

• -4

• -18

• -2

• -1

-(n - 8) = -2

• 6

• 10

• -10

• -6

• 7

• identity

• 0

• -5

• 7

• no solution

• 5

• -5

Put the steps for solving Multi-step Equations in order:

• COMBINE like terms

• SOLVE

• DISTRIBUTE (parentheses)

• MOVE the variable to one side

Solve: 4(w + 3) = 2(5w + 6)

• w = 6

• w = 0

• w = 0.5

• w = 1

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

Solve:

5x + 4 = 5x − 3

• x = 4

• x = -3

• infinitely many solutions

• no solutions