Algebra 1 Practice EOC

Front

What are the resulting units of the conversion \(\left(\frac{miles}{hour}\right)\cdot\left(\frac{hour}{seconds}\right)\cdot\left(\frac{feet}{miles}\right)\ ?

Back

feet/second

Front

Why can the quadratic expression \(x^2 - 100\) be rewritten as \((x + c)(x - c)\) for some integer value of c?

Back

The quadratic expression is a difference of squares.

Front

What function models the relationship between the number of packs of diapers, x, and the total cost, if the total cost is represented in dollars?

Back

f(x) = 25x + 400

Front

What does the inequality \(5x - 2y \geq 10\) represent graphically?

Back

The graph represents the solutions to the inequality.

Front

Where do the two linear functions intersect if one passes the y-axis at (0,4) with a slope of \(\frac{1}{4}\)?

Back

(8,6)

Front

Define a quadratic expression.

Back

A polynomial expression of the form \(ax^2 + bx + c\) where a, b, and c are constants and a ≠ 0.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that \(a^2 - b^2 = (a + b)(a - b)\).

Front

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

Back

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

Front

How do you convert miles per hour to feet per second?

Back

Multiply by \(\frac{5280}{3600}\) to convert from miles/hour to feet/second.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.