Cycle 3 STAAR Check

Front

What is the power of a power property in exponents?

Back

When raising a power to another power, multiply the exponents: \( (a^m)^n = a^{m \cdot n} \).

Front

What is the solution set of an inequality?

Back

The solution set of an inequality includes all values that satisfy the inequality. For example, for \( y \le \frac{3}{5}x - 6 \), the solution set includes all points below or on the line.

Front

How do you find the slope from a linear equation in standard form?

Back

To find the slope from an equation in standard form \( Ax + By = C \), rearrange to slope-intercept form \( y = mx + b \) where \( m \) is the slope.

Front

What is the process for simplifying a fraction with variables?

Back

To simplify a fraction like \( \frac{15x^7y^2}{3x^4y^3} \), divide the coefficients and subtract the exponents of like bases: \( \frac{15}{3} = 5 \) and \( x^{7-4} = x^3 \), \( y^{2-3} = y^{-1} \).

Front

What does the term 'rate of change' refer to in a linear equation?

Back

The rate of change refers to the slope of the line, indicating how much \( y \) changes for a unit change in \( x \).

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written as \( (x, y) \).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of \( y \) when \( x = 0 \).

Front

How do you determine if a point is a solution to an inequality?

Back

To determine if a point is a solution to an inequality, substitute the x and y values into the inequality and check if the statement is true.

Front

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

Back

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

Front

What does it mean for an expression to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.