Middle School Math Praxis

Front

What is the relationship between percentages and values?

Back

Percentages represent a fraction of 100. To find a percentage of a value, multiply the value by the percentage (as a decimal). For example, 10% of 200 is 200 * 0.10 = 20.

Front

How do you calculate the slope (m) of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). For points (−2,−7) and (3,3), m = (3 - (-7)) / (3 - (-2)) = 10 / 5 = 2.

Front

What is the y-intercept (b) in the equation of a line?

Back

The y-intercept (b) is the value of y when x = 0. It represents where the line crosses the y-axis.

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is y = a(x + b)(x + c), where a, b, and c are constants.

Front

How do you find the probability of two independent events occurring?

Back

To find the probability of two independent events occurring, multiply the probability of the first event by the probability of the second event.

Front

What is the formula for factoring a difference of squares?

Back

The formula for factoring a difference of squares is a^2 - b^2 = (a + b)(a - b).

Front

How do you determine the probability of selecting the same color rose from two vases?

Back

Calculate the probability of selecting each color from both vases, then add the probabilities of the same color selections.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots of the quadratic equation: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula A = 1/2 * base * height.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation.