Math 1 Solving Equations & Inequalities

Front

What is the first step to solve the equation 3(x + 2) = 21?

Back

Distribute the 3 to both terms inside the parentheses: 3x + 6 = 21.

Front

How do you isolate x in the equation 3x + 6 = 21?

Back

Subtract 6 from both sides: 3x = 15, then divide by 3: x = 5.

Front

What is the solution to the equation 8(x + 6) = 4x - 16?

Back

x = -16.

Front

What is the first step to solve the inequality -5m < 10?

Back

Divide both sides by -5, remembering to flip the inequality sign: m > -2.

Front

What does it mean to solve an inequality?

Back

Finding the range of values for the variable that makes the inequality true.

Front

What is the solution to the inequality x ≤ 6?

Back

All values of x that are less than or equal to 6.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

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 solution to the equation 9x - 2(x + 8) = -2?

Back

x = 2.

Front

What is the process of solving the equation 4x - 8 = 0?

Back

Add 8 to both sides: 4x = 8, then divide by 4: x = 2.