Algebra I Module 1 (24-25')

Which expression is a factor of ?

• Neesha changed the order of the 18 and 8x. This procedure is justified by the associative property of addition.

• Neesha changed the order of the 18 and 8x. This procedure is justified by the commutative property of addition.

• Neesha added -18 to both sides of the equation. This procedure is justified by the additive inverse property.

• Neesha added -18 to both sides of the equation. This procedure is justified by the additive property of equality.

Stacy is solving the system of equations shown below. 3w + 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?

• -6w + -14t = -128 6w + 2t = 44

• 3w + 7t = 64 -3w + -2t = -22

• -6w + -10t = -67 6w + 2t = 44

• 3w + 7t = 64 -42w + -7t = -308

Marcy bought some packages of large paintbrushes and small paintbrushes. - Each package of large paintbrushes contained 3 large paintbrushes. - Each package of small paintbrushes contained 6 small paintbrushes. - She bought a total of 13 packages of paintbrushes. - She bought a total of 57 paintbrushes. The system of equations shown below can be used to represent this situation. x + y = 13 3x + 6y = 57 The solution to the system of equations is (7, 6). Based on the solution, which statement is most likely true?

• Marcy bought exactly 6 small paintbrushes.

• Marcy bought exactly 6 large paintbrushes.

• Marcy bought exactly 6 packages of small paintbrushes.

• Marcy bought exactly 6 packages of large paintbrushes.

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. |x – 37| ≤ 3 Which number line represents all the recommended storage temperatures (x), in degrees Fahrenheit, for the yogurt?

• Recommended Storage Temperatures: 34, 37, 40

• Recommended Storage Temperatures: 34, 37, 40

• Recommended Storage Temperatures: 34, 37, 40

• Recommended Storage Temperatures: 34, 37, 40

The graph shown below represents the solution set of an inequality. Which inequality has the solution set represented in the graph?

• -2x + 4 ≥ -198

• -2x + 4 ≤ -198

• -2x – 4 ≥ -198

• -2x – 4 ≤ -198