Free Missouri General Education Assessment: Algebra and Geometry Practice Questions — Questions and Answers

Question 1: A construction blueprint indicates that 1 inch on the drawing represents 8 feet in actual length. If the height of a building on the blueprint is 6.5 inches, what is the actual height of the building?

41 feet
52 feet (Correct answer)
13 feet
16.25 feet

Correct answer: 52 feet

To find the actual height, you multiply the blueprint measurement by the scale factor. The blueprint indicates 1 inch represents 8 feet. Therefore, for a height of 6.5 inches on the blueprint, the actual height is 6.5 inches * 8 feet/inch = 52 feet. This is a direct application of the given scale.

Question 2: A smartphone's price was originally $400, and it was increased by 20%. What is the new price of the smartphone?

$80
$320
$480 (Correct answer)
$500

Correct answer: $480

To calculate the new price, first determine the amount of the increase. A 20% increase on $400 is 0.20 * $400 = $80. Then, add this increase to the original price: $400 + $80 = $480. The new price of the smartphone is $480.

Question 3: A bakery produces 3/5 of its daily muffins as blueberry muffins. If the bakery makes 120 muffins in total today, how many of them are blueberry muffins?

36 muffins
72 muffins (Correct answer)
48 muffins
54 muffins

Correct answer: 72 muffins

To find the number of blueberry muffins, multiply the total number of muffins by the fraction that are blueberry. The bakery makes 120 muffins, and 3/5 of them are blueberry. So, (3/5) * 120 = 3 * (120 / 5) = 3 * 24 = 72 blueberry muffins.

Question 4: 3/5 of 120 muffins is (3/5) * 120 = 72 muffins.

8
7
6
9 (Correct answer)

Correct answer: 9

The provided text is a statement, not a question, making it impossible to directly explain why '9' is the correct answer based solely on the given information. If this were a standalone numerical question, '9' could be the result of a simple calculation such as '3 squared' (3*3=9) or '18 divided by 2' (18/2=9). Without the actual question, the rationale for '9' remains unstated.

Question 5: In a deck of 52 playing cards, what is the probability of drawing a red card?

1/2
2/3
1/4 (Correct answer)
3/5

Correct answer: 1/4

A standard deck of 52 playing cards consists of two colors: red and black. There are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 clubs and 13 spades). Therefore, the probability of drawing a red card is the number of red cards divided by the total number of cards, which is 26/52, simplifying to 1/2.

Question 6: Simplify: (3^4) / (3^2)

3^6
3^2 (Correct answer)
3^8
3^12

Correct answer: 3^2

When dividing exponents with the same base, you subtract the exponents. In this expression, the base is 3. So, (3^4) / (3^2) simplifies to 3^(4-2), which equals 3^2. This is a fundamental rule of exponents.

Question 7: Evaluate: 2 + 3 * 4 - 5 / 2

9
11.5 (Correct answer)
14
10.5

Correct answer: 11.5

To evaluate this expression, follow the order of operations (PEMDAS/BODMAS). First, perform multiplication (3 * 4 = 12) and division (5 / 2 = 2.5). Then, perform addition and subtraction from left to right: 2 + 12 - 2.5 = 14 - 2.5 = 11.5. The final result is 11.5.

Free Missouri General Education Assessment: Algebra and Geometry Practice Questions

A construction blueprint indicates that 1 inch on the drawing represents 8 feet in actual length.
If the height of a building on the blueprint is 6.5 inches, what is the actual height of the building?