FALL 2024 Semester Review

Front

Solve for x: 3(x-2) < 2(x+9)

Back

x < 24

Front

Which equation best represents the line on the graph?

Back

y = \frac{1}{2}x

Front

Logan's solution was incorrect because:

Back

Logan did not multiply by the correct number.

Front

A customer paid $64 for 3 large candles and 4 small candles. What system of equations can be used to find the price of each large candle (x) and each small candle (y)?

Back

3x + 4y = 64 and x + 8y = 68

Front

Edgar's solution was incorrect because:

Back

Edgar did not add the equations correctly.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you solve a linear inequality?

Back

Isolate the variable on one side of the inequality sign, similar to solving an equation.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that can be solved together.