Qzz: Test 2B review

Front

What is the solution to the equation 3h – 2(4h – 5) = 10 – 5h?

Back

The equation has infinite solutions.

Front

How do you solve the equation -5(x – 3) – 2x = 46 – 4(x + 1)?

Back

First, distribute and combine like terms to find x = -9.

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by V = (4/3)πr³, where r is the radius.

Front

If the volume of a sphere is 270 in³, how do you find the radius?

Back

Use the formula V = (4/3)πr³ and solve for r.

Front

What is the approximate value of π?

Back

π is approximately 3.14.

Front

What does it mean for an equation to have infinite solutions?

Back

It means that there are an unlimited number of values that satisfy the equation.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

Front

What is the significance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the process of distributing in algebra?

Back

Distributing involves multiplying a term outside the parentheses by each term inside the parentheses.

Front

How do you find the radius of a sphere given its volume?

Back

Rearrange the volume formula to solve for r: r = (3V/(4π))^(1/3).