Graph Solutions to Linear Inequalities

Which graph best represents the following inequality?

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Determine whether point A is a solution to the linear inequality that is shown.

• Yes

• No

• Sometimes

Determine whether point (-4,0) is a solution to the linear inequality that is shown.

• Yes

• No

• Sometimes

What graph matches this inequality?

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What graph matches this inequality?

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What inequality matches the graph?

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Alicia has at most $196 to buy a new baseball glove and a

new baseball bat. Which inequality represents this situation?

• y ≤ 196 – x

• y ≤ 196 + x

• 196 ≤ y + x

• y – x ≥ 196

Beng and Shim have less than $30 for candle–making supplies. The molds x cost $6 each and the wax y is $2 per pound. Which point represents a reasonable number of molds and pounds of wax they could buy?

• (3, 4)

• (4, 4)

• (5, 1)

• (3, 6)

An inequality is solved as shown below. Between which two steps is an error made?

• Between Step 1 and Step 2

• Between Step 2 and Step 3

• Between Step 3 and Step 4

• Between Step 6 and Step 7

• Between Step 7 and Step 8

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700
• 57x + 72y > 2700
• 57x + 72y < 2700
• 57x + 72y ≤ 2700