Semester Exam Review 8th Math 2022

Which measurements could represent the side lengths of a right triangle?

• 24yd, 37 yd, 40 yd

• 18 yd, 21 yd, 29 yd

• 15 yd, 36 yd, 39 yd

• 6 yd, 24 yd, 26 yd

The top of a ladder is placed against the side of a house. The ladder is 15 feet long and the wall is 12 feet high. How far from the wall will the base of the ladder by positioned if the top of the ladder meets the top of the wall?

• 10 feet

• 10.5 feet

• 9 feet

• 9.5 feet

The coordinates of the triangle shown are A (0,1), B (5,1), and C (0,4).

What is the length of segment BC in units? Round to the nearest hundredths place if necessary.

(a)  

Three squares may be placed so that their sides form a right triangle. The squares below model the Pythagorean Theorem.

If square 1 is the largest of three squares in the model, which statement is NOT true?

• The area of Square 2 can equal the area of Square 3.

• The difference between the areas of Square 3 and Square 1 is equal to the area of Square 2.

• The area of Square 2 can equal the area of Square 1.

• The area of Square 1 is equal to the sum of the areas of Square 2 and Square 3.

A sign broke during a storm. The diagram shows how it fell.

What was the original height of the sign?

• 10 feet

• 14 feet

• 18 feet

• 24 feet

To which real number set do the following real numbers belong?

• Irrational Numbers

• Natural Numbers

• Rational Numbers

• Integers

How do you write the standard number 0.00095 in scientific notation?

• 9.5 x 10^-3

• 9.5 x 10^-5

• 9.5 x 10^-4

• 9.5 x 10^-6

Write the standard number 6,267,000 in scientific notation.

• 62.67 x 10⁶

• 6.267 x 10⁶

• 6.267 x 10⁴

• 6.267 x 10⁷

What is the best estimate for the following.

• 9.3432...

• 6.782...

• 8.2326...

• 10.7638...

How do you write 8.7 x 10^-1 in standard form?

• 0.87

• 8.7

• 87

• 0.087