Equations Review

Front

Solve for x: -2x + 4 = 5 - 3x

Back

x = 1

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10

Front

Identify the error: 1/5x + 6 = 3/5x + 5 leads to 1x + 6 = 3x + 5. What was the mistake?

Back

The student did not multiply all terms by the common denominator.

Front

The perimeter of a fenced area is 164 meters. If the length is x and the width is 3x + 2, find x.

Back

x = 20 meters

Front

Solve for x: 3x + 2(4x - 4) = 3

Back

x = 1

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What is the purpose of solving equations?

Back

To find the value of the variable that makes the equation true.

Front

Define 'variable' in the context of equations.

Back

A variable is a symbol used to represent an unknown value in mathematical expressions and equations.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.