Chapter 6A Re-test

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

Celebrity A has 400 followers and gains 75 each day. Celebrity B has 1,000 followers and loses 25 each day. How many days until they have the same number of followers?

Back

6 days

Front

Mike is driving a boat at 12 mph, increasing speed by 0.2 mph each second. Hank is at 25 mph, decreasing by 0.7 mph each second. Which equation determines when they travel at the same speed?

Back

12 + 0.2x = 25 - 0.7x

Front

Write the equation for the model: A boat travels at 12 mph and increases speed by 0.2 mph each second. What is the equation?

Back

12 + 0.2x = speed of the other boat

Front

Write the equation for the model: 2x - 2 = -x + 7. What is the solution?

Back

x = 2

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

Isolate the variable x by moving terms involving x to one side.

Front

What does it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

It allows you to find the value of the variable that satisfies the equation.

Front

What is the formula to find the number of days until two quantities are equal?

Back

Set the equations equal to each other and solve for the variable representing time.