2024 Keystone Algebra I Module I Sampler

Which expression can be simplified to the form $$x\ \sqrt[]{3}$$ where x is an integer?

Which expression is a factor of $$x^2-2x-24$$ ?

Which expression is equivalent to $$\frac{2x^{2\ }-\ 98}{x^{2\ }-14x\ +49}$$ when $$x\ne7$$ ?

An equation is shown below.

$$\frac{8}{3}x+48.5=y$$

Which equation can be used to determine the value of x when y = 28.1 ?

One of the steps Neesha used to correctly solve an equation is shown below.

line 1: $$18\ +\ 8x\ -\ 4\ =\ 13$$

line 2: $$8x+18-4=13$$

Which set of statements describes the procedure Neesha used to go from line 1 to line 2 and identifies the property that justifies that procedure?

Stacy is solving the system of equations shown below.

$$3x+7t=64$$

$$6w+2t=44$$

Stacy correctly uses elimination to solve the system of equations. Her first step is to rewrite one equation so one of the variables can be eliminated. Which system of equations could show Stacy’s rewritten system of equations?

A yogurt company recommends that its yogurt be stored at 37 degrees Fahrenheit (°F). The company states that the recommended storage temperature can vary by 3°F. The absolute value inequality shown below represents all the recommended storage temperatures (x), in degrees Fahrenheit, for the yogurt.

$$\left|x-37\right|\le3$$

Which number line represents all the recommended storage temperatures (x), in degrees Fahrenheit, for the yogurt?

The graph represents the solution set of an inequality.

Which inequality has the solution set represented in the graph?