Equation Review

Front

What is the first step to isolate the variable in the equation -14 = r - 11?

Back

Add 11 to both sides of the equation.

Front

How do you solve for r in the equation 9 = r/8?

Back

Multiply both sides by 8 to get r = 72.

Front

If a player threw a ball 51 times and caught 15, how do you calculate the number of balls dropped?

Back

Subtract the number of catches from the total throws: 51 - 15 = 36.

Front

What is the value of s in the equation 13 = s - 21?

Back

Add 21 to both sides to find s = 34.

Front

How do you solve the equation 8x - 10 = -34 for x?

Back

Add 10 to both sides, then divide by 8 to find x = -3.

Front

What is the principle of balancing equations in algebra?

Back

Whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the process of solving a linear equation?

Back

Combine like terms, isolate the variable, and simplify to find the solution.

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.

Front

What is the significance of the equal sign in an equation?

Back

It indicates that the expressions on both sides have the same value.