Domain 1 Final

Front

What is the value of b in the equation (b-2)x=8 if the equation has no solution?

Back

b = 2

Front

What is the value of a in the equation 2x + 16 = a(x + 8) if the equation has infinitely many solutions?

Back

a = 2

Front

If Avery earns $10 per hour at job A and $20 per hour at job B, how much does she earn if she works a total of 8 hours?

Back

s = 160 dollars (4 hours at job A and 4 hours at job B).

Front

In the equation ax + by = b, if 0 < a < b, what can be inferred about the graph of the equation?

Back

The graph will be a straight line with a positive slope.

Front

What is the relationship between the side length s of a tile and its selling price P if P is a linear function of s?

Back

P = k * s + m, where k is the rate of change and m is the y-intercept.

Front

What does it mean for an equation to have no solution?

Back

It means that there are no values for the variables that satisfy the equation.

Front

What does it mean for an equation to have infinitely many solutions?

Back

It means that there are an infinite number of values for the variables that satisfy the equation.

Front

How do you determine the slope of a line represented by the equation ax + by = b?

Back

Rearrange to slope-intercept form (y = mx + b) to find the slope m = -a/b.

Front

What is a linear function?

Back

A function that can be graphically represented as a straight line, typically in the form y = mx + b.

Front

What is the significance of constants in equations?

Back

Constants are fixed values that do not change, influencing the behavior of the equation.