8th Grade 4/7/2025

Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2. Which statement about the area and perimeter of Triangle 2 is true?

• The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 4.1 times the area of Triangle 1.

• The perimeter is 8.2 times the perimeter of Triangle 1, and the area is 8.2 times the area of Triangle 1.

• The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.

• The perimeter is 16.4 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.

A gas company charges a 16 dollar monthly service fee and 0.6924 per hundred cubic feet of natural gas used during a month. Which equation best represents y, the gas company’s monthly charges in dollars for using x hundred cubic feet of natural gas?

• y = 0.6924x - 16

• y = 16x + 0.6924

• y = 16x - 0.6924

• y = 0.6924x + 16

Which one is a dilation

• (x, y) → (0.2+x, 0.2-y)

• (x, y) → (5+x, 5y)

• (x, y) → (8x, 8-y)

• (x, y) → (10x, 10y)

The two lines graphed on the coordinate grid represent a system of linear equations. Which ordered pair best represents a solution to both equations?

• (4, -11)

• (0, 4)

• (9, -2)

• (6, 11)

Jackson invested $680.00 in an account that earns 1.5% simple interest annually. He made no additional deposits or withdrawals for 2 years. What was Jackson’s account balance at the end of 2 years?

• $700.40

• $690.20

• $884.00

• $782.00

An online candy store sells 3 pounds of fudge for $54.99. Which function represents the relationship between x, the number of pounds of fudge ordered, and y, the total cost in dollars?

• y = 3(54.99)x

• y = (54.99 - 3)x

• y = 54.99x - 3

The volume of salt water on Earth’s surface is approximately 350,000,000,000,000,000,000 gallons. How is this number written in scientific notation?

• B. 3.5 × 10^20

Maren made an initial deposit into her savings account. Each month Maren deposits the same amount into the savings account. The graph shows the linear relationship between x, the number of months Maren’s savings account has been open, and y, the amount of money in the account. Which amount best represents Maren’s initial deposit in dollars?

• $450

• $900

• $1,350

• $1,575

A triangle is shown, with Squares 1, 2, and 3 drawn on its sides. Which measurements in units for the sides of the squares show that the triangle is a right triangle?

• x = 10, y = 6, z = 8

• x = 4, y = 2, z = 3

• x = 9, y = 5, z = 7

• x = 7, y = 3, z = 4