Review CP4

Front

What is the cost of one hat if two friends spent a total of $120 on 4 hats and 4 scarves, and another friend spent $105 on 5 hats and 3 scarves?

Back

$7.50

Front

Back

The graph of the inequality shows the region where the values of x and y satisfy the inequality.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and there are an infinite number of points that satisfy both equations.

Front

What system of equations can be used to find the price of large candles (x) and small candles (y) if a customer paid $64 for 3 large and 4 small candles, and another paid $68 for 1 large and 8 small candles?

Back

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

Front

Back

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

It means they have the same slope and will never intersect, resulting in no solutions.

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, representing the value of y when x = 0.

Front

How can you find the slope of a line given two points?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).