HOBET Essential Math Practice

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1. 726 + 349 + 563 =
A: 1538
B: 1638
C: 1728
D: 1598

2. 8675 - 5478 =
A: 3298
B: 3197
C: 3196
D: 3207

3. ¾ - 2/3 =
A: 1/12
B: 1/8
C: 1
D: 3/12

4. Convert 40% to the simplest possible fraction.
A: 3/4
B: 2/4
C: 1/3
D: 2/5

5. Convert 2/9 to a decimal (round off to the nearest hundredth).
A: .20
B: .22
C: .23
D: .24

6. Convert 1.6 to an improper fraction.
A: 1 3/5
B: 8/5
C: 160%
D: 12/5

7. (10 - 6)³ =
A: -26
B: 16
C: 64
D: 12

8. (x + 1)(x - 4) =
A: x² - 5x + 7
B: x² - 3x - 4
C: x² - 4x + 4
D: x² - 5x + 8

9. 4x + 5y - 2x - 7y =
A: 2x + 12y
B: 2x - 2y
C: xy²
D: 2x² - 2y²

10. If x = 6, then 2(x - 4)² =
A: 6
B: 4
C: 2
D: 8

Answer Key

1. B. It may be easier to complete this problem by arranging it vertically.

2. B. It may be easier to complete this problem by arranging it vertically.

3. A. Find the lowest common denominator for these fractions (12).

4. D. Start with the fraction 40/100, and then divide by 20.

5. B. Divide the numerator by the denominator, and round off to the nearest hundredth.

6. B. Start with the fraction 160/100, and then simplify by dividing numerator and denominator by 20.

7. C. Subtract first, and then calculate the exponent.

8. B. Multiply the two terms according to FOIL: first, outer, inner, last.

9. B. Remember that the terms with unlike variables cannot be combined.

10. D. Substitute the value given for x, and then remember the order of operations: parentheses, then exponent, then multiplication.

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