Solutions to Equations

Solutions to Equations

Objective: Identify solutions to equations.

​Vocabulary

​The Solution to an Equation: A solution to an equation is a number that can be plugged in for the variable to make a true number statement.

​EXAMPLE

​Is x = 3 a solution to the equation: 4x - 3 = 11

Match

Match the following equations with their solutions.

• 10 - 6x = 52

• -10 + 6x = 32

• 10 - 7x = 52

• 10 - 7x = -32

x = -7

x = 7

x = -6

x = 6

• x = -7

• x = 7

• x = -6

• x = 6

​EXAMPLE

​Is y = -2 a solution to the equation: 4(y + 9)² = 196

Multiple Choice

Which value for x is a solution to the equation:

13 - 6(x - 12)² = -1163

• x = -3

• x = -2

• x = 1

​EXAMPLE

​Is y = 10 a solution to the equation:

Multiple Choice

Which value for t is a solution to the equation:

  $$\frac{96}{3t}=4$$  

• t = 8

• t = 6

• t = 4

Multiple Choice

Which value for f is a solution to the equation:

  $$\frac{6f^2}{14}=21$$  

• f = 7

• f = 6

• f = -8

​EXAMPLE

​Is n = -1 a solution to the equation:

​−8n + 4(1 + 5n) = −6n − 14

Multiple Choice

​What value of n is a solution to the equation?

−6n − 20 = −2n + 4(1 − 3n)

• n = 3

• n = -3

• n = -4