INTEGERS!

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform the same operation on both sides of the equation to maintain equality, aiming to get the variable by itself.

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding the range of values that satisfy the inequality condition, often resulting in a solution set.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

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 than, less than, or not equal to another.

Front

What is the significance of the solution set in inequalities?

Back

The solution set in inequalities represents all possible values that satisfy the inequality, often expressed in interval notation.

Front

How do you handle negative coefficients in equations?

Back

When dealing with negative coefficients, remember to reverse the inequality sign when multiplying or dividing both sides by a negative number.

Front

What is the first step in solving the equation -x/2 + 5 = -7?

Back

The first step is to isolate the term with the variable by subtracting 5 from both sides of the equation.

Front

What is the solution to the inequality 4x - 6 > -14?

Back

The solution is x > -2.