Fall Interim 4: Solve equations & inequalities

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 3x + 2(4x - 4) = 3?

Back

The first step is to distribute the 2 to both terms inside the parentheses: 3x + 8x - 8 = 3.

Front

What is the solution to the equation 4(x - 2) = -3 + 5x?

Back

The solution is x = -5.

Front

How do you convert the equation 2x + 2y = 6 into slope-intercept form?

Back

To convert, solve for y: 2y = -2x + 6, then y = -x + 3.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves shading the region of the graph that satisfies the inequality condition.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you solve the inequality 2x - 3 < 5?

Back

Add 3 to both sides to get 2x < 8, then divide by 2 to find x < 4.