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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

The value, in dollars, of a certain car z years after it was purchased is modeled by y=a(0.85)^z

where is a constant.
If the car is worth $5,000 exactly 4 years after it was purchased, what was the estimated value of the car at the time of purchase (to the nearest thousand dollars)?

$8,000

$9,000

$10,000

$11,000

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

The expression (m-17)(2m+5) gives the area, in square inches, of a rectangular playground. The variable m stands for a positive real number that relates to the side lengths of the rectangle.Which statement correctly interprets the two binomial factors?

One side is 17 less than m, the other side is 5 more than twice m

One side is m minus 17, the other side is 5 plus half of m

The length is 17 units longer than the width

The total perimeter of the playground is given by m-17+2m+5

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

Which of the following is a factor of -24x² - 6x?

A-24xB-10xC-6xD-4x

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

One of the factors of 8x⁴ + 46x² + 63 is ax² + b, where a and b are positive constants. Which of the following is a possible value of ab?

A7B18C28D36

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

Jerome’s savings plan is modeled by the equation

d=23w+100

where is the number of weeks after he starts saving, and is the total amount saved (in dollars) at week .
At the end of week 10, he withdraws 20% of his total savings at that time to buy a gift. How many dollars are left in his savings account after the withdrawal?

264

330

406

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

Triangle XYZ shown is a right triangle. Which of the following has the same value as sin X?

Atan XBtan YCcos XDcos Y

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

Which of the following equations best represents the line of best fit shown?

Ay = -x - 5.4By = -x + 5.4Cy = x - 5.4Dy = x + 5.4

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

A campaign organizer is setting up tables for an event. The tables come in two sizes: small and large. Each of the small tables can seat 4 people and each of the large tables can seat 8 people. The event needs to seat at least 85 people. Which inequality represents this situation, where x is the number of small tables and y is the number of large tables the organizer is setting up for the event?

A4x + 8y ≥ 85B4x + 8y ≤ 85C8x + 4y ≥ 85D8x + 4y ≤ 85

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

A region has a total area of 270 square feet. Within the region, there are n objects. Which expression represents the average number of objects per square foot within this region?

An/270B(n/270)²C270nD(270n)²

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

x² + $x\sqrt {t\, }$ + y² - y - 73 = 0

The given equation, where t is a constant, defines a circle in the xy-plane. The radius of this circle is $\sqrt {91}$ . What is the value of t?

A35B37C71D73

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

A certain town has an area of 3.85 square miles. What is the area, in square yards, of this town? (1 mile = 1,760 yards)

A457B6,776C804,571D11,925,760

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

|2x - 3| = -8

How many solutions does the given equation have?

AZeroBOneCTwoDInfinitely many

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

Line k is shown in the xy-plane. Line j (not shown) is perpendicular to line k and passes through the point (-20, -25). Which equation defines line j?

Ay = (3/4)x - 10By = (3/4)x - 40Cy = (4/3)x - 10Dy = (4/3)x - 40

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

Which of the following expressions is(are) a factor of 3x² + 16x - 35?

I. x - 7

II. 3x - 5

AI onlyBII onlyCI and IIDNeither I nor II

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

Which equation has no solution?

A14x + 7 = 7(2x + 1)B14x + 11 = -14x - 11C14x + 1 = 2x + 1D14x + 70 = 7(2x + 4)

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

For a linear relationship between x and y, the table gives three values of x and their corresponding values of y in terms of a constant r. What is the slope of the line in the xy-plane that represents this relationship?

A-24B-6C6D24

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

The equation d=39w+100 calculates total savings d(dollars) Janna accumulates after w weeks. If Janna raises her weekly savings by $11 and saves for 12 weeks, how much more money will she have compared to saving at the original rate for 10 weeks?

210

260

310

360

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

Line L₁ has the equation 4x+y=19.
Line L₂ is the perpendicular bisector of the line segment joining the points A(2,5) and B(6,−11).
What is the sum of the slope of L₁ and the slope of L₂?

-4

-15/4

-8

-17/4

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

y = 5x - 15

4x + y = 48

The solution to the given system of equations is (x, y). What is the value of x + y?

Type your answer

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

The quadratic equation (7x - 64)² = a, where a is a constant, has exactly one real solution. What is the value of a?

Type your answer

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

The solution to the given system of equations is (x,y). What is the value of x?
x+8=−6y+2
x−8=6y+10

Type your answer

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Chapter 10 · 2026.6 : B-B(analysis included) · MATH 2

An exponential function is defined by , where is a constant greater than 1. If , what is the value of ?

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