EOC Review

Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.

• The depth of the water is increasing linearly.

• At 1:30 p.m., the water depth was 2.4 feet.

• It is now 4:00 p.m., and the depth of the water is 3.9 feet.

What will the depth (in feet) of the water be at 5:00 p.m.?

• 4.5 feet

• 2.1 feet

• 6.2 feet

• 2.5 feet

A company has a budget of $1,700 for a banquet. A banquet hall charges $150 to rent a room, plus $30 per guest. What is the maximum number of guests that can attend the banquet for the costs to remain under the budget?

• 51 people

• 52 people

• 56 people

• 57 people

What is the value of x in the system of equations shown below?

3x + 5y = 21

y = 3 - x

• x = -3

• y = -3

• x = 6

• y = -6

A rectangle has a perimeter of 64.

• Let x equal the width of the rectangle.

• Let y equal the area of the rectangle.

Which equation can be used to find the area of the rectangle?

• y = x² – 64x

• y = –x² + 64x

• y = x² – 32x

• y = –x² + 32x

A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number of members x months after the club began?

• f(x) = 2x + 3

• f(x) = 3x + 1

• f(x) = 1.5(2)^x

• f(x) = 3(2)^x

Two functions are shown below.

f(x) = 3x + 7

g(x) = 2x + 12

What is the value of x where the graphs of f(x) and g(x) intersect?

• -22

• -5

• 5

• 22

Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an average of exactly 91 on her history quizzes?

• 90

• 94

• 98

• 100

Which expression is equivalent to

(x + 2)(3x – 3)?

• 3x² – 6

• 3x² + 3x – 6

• 3x² + 6x – 6

• 3x² + 9x – 6

Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is also five times Antonio’s age. How old is Sarah?

• 10

• 2

• 3

• 9

What are the solutions to the equation

4x2 – 52x + 169 = 121?

• {1, –12}

• {–1, 12}

• {–1, –12}

• {1, 12}