grade 8 illustrative math unit 4 Mid-study guide

Front

What is the value of c in the equation: 2c - 12 = 9c + 2?

Back

c = -2

Front

What is the result after applying the distributive property to: -8(-8x - 6)?

Back

64x + 48

Front

What is the solution to the equation: 70x = -70?

Back

x = -1

Front

Back

y = -24

Front

What is the result after moving the constant to one side in the equation: 70x + 48 = -22?

Back

70x = -70

Front

What is the distributive property in mathematics?

Back

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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable that make the equation true.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.

Front

What is the first step in solving the equation: 3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with x.