M8 Unit 3 Review (Solving Equations)

Front

What is the first step to solve the equation: -3x - 11 = 44?

Back

Add 11 to both sides.

Front

Solve for b: 2b = -16

Back

b = -8.

Front

Solve: 2y − 3 = 2y − 3

Back

Infinitely many solutions.

Front

Solve for x: 12 = -4 (-6x - 3)

Back

x = 0.

Front

Write & solve an equation: Bowman had 30 pieces of candy and gave away x pieces. Rose started with 40 pieces of candy and gave away twice as many pieces as Bowman. How many pieces did Bowman give away if they ended up with the same amount of candy left?

Back

30 - x = 40 - 2x; x = 10.

Front

What is an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

What does it mean to solve an equation?

Back

Finding the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A symbol used to represent an unknown value.

Front

What is the purpose of isolating the variable in an equation?

Back

To find the value of the variable that satisfies the equation.

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.