Algebra 1 EOC Practice Test SP23

1. A rectangular swimming pool, measuring 15 feet long and 10 feet wide, has its length and width increased by the same amount. The new area can be represented by the product: (x+15)(x+10). What is this product?

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2. Simplify:

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3. Clara was driving from Columbia to Myrtle Beach. Her odometer read 42,506 miles, and after three hours of driving the odometer read 42,656 miles. Which equation would yield the average speed (mph) for the given driving time?

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4. A checking account at Valley Bank costs $6 for the month and $0.15 per check. At Texas Bank, the cost is $3 for the month and $0.25 per check. What equation could be used to find the number of checks that would make the monthly costs equal to each other.

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5. A landscaper charges $30 for the first hour of an appointment and $15 for each additional hour after the first. Let h equal the total number of hours that she works during an appointment. Which equation describes f, the total fee for that appointment?

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6. Solve the following formula for B, where B is the area of the base of a rectangular-based pyramid and h is the height:

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7. What is the solution to:

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8. Use Jordan's work to answer the next question. What property justifies Jordan going from the given problem to Step 1? Here is his work:

• a) Associative Property of Addition
• b) Distributive Property
• c) Commutative Property of Multiplication
• d) Addition Property of Equality

9. Solve the following quadratic equation by completing the square. Identify which is the next step in the process.

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10. Which is the solution set to

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