Topic 8 Test: Equations

Front

What is the solution to the equation 8x + 6 = 4x - 14?

Back

x = -5

Front

Solve for x: 3(3x - 6) = 18.

Back

x = 4

Front

What is the value of x in the equation -2(5x - 1) = -38?

Back

x = 4

Front

Find b in the equation -11 + 3(b + 5) = 7.

Back

b = 1

Front

What is the solution to the equation 10 - 5x + 20 = 50?

Back

x = -4

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and can be written in the form ax + b = c.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the 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, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the first step to solve the equation 2(x + 3) = 14?

Back

Distribute the 2 to both terms inside the parentheses: 2x + 6 = 14.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.