1. **List the first eight prime numbers.** Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. The first eight prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19. 2. **CLASSIFY: By which of these numbers is 600 not divisible?** Given numbers: 2, 3, 5, 9. To check divisibility, divide 600 by each number: - $600 \div 2 = 300$ (divisible) - $600 \div 3 = 200$ (divisible) - $600 \div 5 = 120$ (divisible) - $600 \div 9 = 66.\overline{6}$ (not divisible because result is not an integer) Answer: 600 is not divisible by 9. 3. **The fans were depressed, for their team had won only 15 of the 60 games. What was the team's win-loss ratio after 60 games?** Win-loss ratio is calculated as $\frac{\text{wins}}{\text{losses}}$. Wins = 15, Losses = 60 - 15 = 45. So, win-loss ratio = $\frac{15}{45} = \frac{1}{3}$. 4. **To loosen her shoulder, Mary swung her arm around in a big circle. Her arm was 28 inches long, what was the diameter of the circle?** The arm length is the radius of the circle. Diameter $= 2 \times$ radius $= 2 \times 28 = 56$ inches. 5. **CONNECT: The map shows three streets in town.** a. Name a street parallel to Vine. b. Name a street perpendicular to Vine. From the description: - Vine is the middle curved line. - Ivy is the top curved line. - Main is the bottom curved line. Parallel streets run in the same direction, so Ivy is parallel to Vine. Perpendicular streets intersect at right angles, so Main is perpendicular to Vine. 6. **Rob remembers that an acute angle is "a cute little angle." Which of the following could be the measure of an acute angle?** Options: 0°, 45°, 90°, 135°. An acute angle is less than 90° and greater than 0°. So, 45° is an acute angle. 7. **(2.5)²** Square means multiply the number by itself. $(2.5)^2 = 2.5 \times 2.5 = 6.25$. 8. **√81** Square root of 81 is the number which when squared gives 81. $\sqrt{81} = 9$. 9. **Write 40% as a reduced fraction.** 40% means $\frac{40}{100}$. Reduce by dividing numerator and denominator by 20: $\frac{40}{100} = \frac{2}{5}$. 10. **Write 9% as a decimal number. Then find 9% of 10.** 9% as decimal = $\frac{9}{100} = 0.09$. 9% of 10 = $0.09 \times 10 = 0.9$. 11. **What is the reciprocal of 2/3?** Reciprocal means flipping numerator and denominator. Reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$. 12. **7m = 3500, find m.** Divide both sides by 7: $m = \frac{3500}{7} = 500$. 13. **(2/3)n = 1, find n.** Multiply both sides by reciprocal of $\frac{2}{3}$ which is $\frac{3}{2}$: $n = 1 \times \frac{3}{2} = \frac{3}{2} = 1.5$. 14. **6.25 + w = 10.00, find w.** Subtract 6.25 from both sides: $w = 10.00 - 6.25 = 3.75$. 15. **x - 37 = 76, find x.** Add 37 to both sides: $x = 76 + 37 = 113$. 16. **6.25 + (4 - 2.5)** Calculate inside parentheses first: $4 - 2.5 = 1.5$. Then add: $6.25 + 1.5 = 7.75$. 17. **4/4 - 3/3** Simplify fractions: $\frac{4}{4} = 1$, $\frac{3}{3} = 1$. Subtract: $1 - 1 = 0$. 18. **What is 3/4 of 48?** Multiply: $\frac{3}{4} \times 48 = 3 \times 12 = 36$. 19. **5/6 · 3/5** Multiply numerators and denominators: $\frac{5}{6} \times \frac{3}{5} = \frac{5 \times 3}{6 \times 5} = \frac{15}{30} = \frac{1}{2}$. 20. **JUSTIFY: Fran estimated 9% of 21.90 by first rounding 9% to 10% and rounding 21.90 to 20. She then mentally calculated 10% of 20 = 2. Use Fran's method to estimate 9% of 32.17.** Step 1: Round 9% to 10%. Step 2: Round 32.17 to 30. Step 3: Calculate 10% of 30: $10\% \times 30 = 0.10 \times 30 = 3$. So, estimated 9% of 32.17 is approximately 3.