FREE Missouri General Education Assessment: Algebra and Geometry Practice Questions
In a deck of 52 playing cards, what is the probability of drawing a red card?
The correct answer is 1/4. In a standard deck of 52 playing cards, there are 26 red cards (diamonds and hearts) out of the total 52 cards. Therefore, the probability of drawing a red card is 26/52, which simplifies to 1/2, or 0.25.
Simplify: (3^4) / (3^2)
When dividing terms with the same base, subtract the exponents: 3^4 / 3^2 = 3^(4-2) = 3^2.
Evaluate: 2 + 3 * 4 - 5 / 2
Follow the order of operations (PEMDAS/BODMAS): 2 + 3 * 4 - 5 / 2 = 2 + 12 - 2.5 = 14 - 2.5 = 11.5.
A smartphone's price was originally $400, and it was increased by 20%. What is the new price of the smartphone?
The correct answer is $480. A 20% increase of $400 is $80, which when added to the original price yields a new price of $480.
3/5 of 120 muffins is (3/5) * 120 = 72 muffins.
The correct answer is 9. In the equation 2x - 5 = 11, by adding 5 to both sides, we get 2x = 16. Dividing both sides by 2 gives x = 8, making the value of x equal to 9.
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?
The correct answer is 52 feet. In the given ratio of 1 inch on the blueprint representing 8 feet in reality, the 6.5-inch height on the blueprint corresponds to a height of 6.5 * 8 = 52 feet in actuality.
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?
The correct answer is 72 muffins. Since 3/5 of the muffins are blueberry, the bakery produces (3/5) * 120 = 72 blueberry muffins out of the total 120 muffins made.