MATH

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

If Ziana has $14 and saves $5 each week, how can you calculate the number of weeks needed to save for a $64 jacket?

Back

Subtract the initial amount from the total needed, then divide by the amount saved per week: (64 - 14) / 5 = 10 weeks.

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

How do you solve the equation 3x + 2(4x - 4) = 3?

Back

First, distribute: 3x + 8x - 8 = 3. Combine like terms: 11x - 8 = 3. Then, add 8 to both sides: 11x = 11. Finally, divide by 11: x = 1.

Front

What is the definition of a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

What is the formula for the Pythagorean theorem?

Back

a² + b² = c², where c is the length of the hypotenuse.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.