MoGEA Test

FREE Missouri General Education Assessment: Algebra and Geometry Practice Questions

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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?

Correct! Wrong!

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.

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

Correct! Wrong!

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)

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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

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Follow the order of operations (PEMDAS/BODMAS): 2 + 3 * 4 - 5 / 2 = 2 + 12 - 2.5 = 14 - 2.5 = 11.5.

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

Correct! Wrong!

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

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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.

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?

Correct! Wrong!

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.