fORMATIVE Check

Front

What is the equation to find the height of a tree after a certain growth period if it started at 8 feet and grew to 14 feet?

Back

f + 8 = 14, where f is the growth in feet.

Front

How do you isolate the variable in the equation 13 + y = 20?

Back

Subtract 13 from both sides to get y = 20 - 13, which simplifies to y = 7.

Front

What is the solution to the equation 8 - n = 12?

Back

To isolate n, subtract 8 from both sides: -n = 12 - 8, which simplifies to -n = 4. Therefore, n = -4.

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 other side.

Front

What is the first step to solve the equation f + 8 = 14?

Back

Subtract 8 from both sides to isolate f: f = 14 - 8.

Front

In the equation 13 + y = 20, what operation is used to solve for y?

Back

Subtraction is used to solve for y.

Front

What is the value of n in the equation 8 - n = 12?

Back

n = -4.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can 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.

Front

What is the significance of the variable in an equation?

Back

A variable represents an unknown value that can change or vary.