EASY ROUND

1. Find the 10th term:

• 27

• 1. 29

• 28

• 30

Answer explanation

To find the 10th term, we identify the pattern in the sequence. The correct choice is 28, which fits the established pattern, confirming it as the 10th term.

Tags

CCSS.HSF.BF.A.2

1.  

   1. Edgar is getting better at math. On his first quiz, he scored 57 points, and then he scored 61 and 65 on his next two quizzes. If his scores continued to increase at the same rate, what would be his score on his sixth quiz?

• 67

• 77

• 87

• 1. 97

Answer explanation

Edgar's scores increase by 4 points each quiz (57 to 61, then 61 to 65). Continuing this pattern, his sixth quiz score would be 77.

Tags

CCSS.HSF.BF.A.2

1. A recipe called for the ratio of sugar to flour to be 7:3. If you used 63 ounces of sugar, how many ounces of flour would you need to use?

• 64

• 55

• 27

• 25

Answer explanation

The ratio of sugar to flour is 7:3. If you used 63 ounces of sugar, set up the proportion: 63/7 = x/3. Solving for x gives x = 27. Therefore, you need 27 ounces of flour.

1.  

   1. Last month, Karmin made $480 working for 30 hours. This month, she will get a 15% increase in her hourly earnings. What will her hourly rate be in dollars per hour after the raise?

• $18.40

• $480

• $2.40

• $15.00

Answer explanation

Karmin's current hourly rate is $480 / 30 hours = $16.00. With a 15% increase, her new rate is $16.00 + ($16.00 * 0.15) = $18.40. Thus, her hourly rate after the raise will be $18.40.

Tags

CCSS.6.RP.A.3C

Answer explanation

To simplify, calculate (3y^2)^5 = 243y^{10}. Then combine like terms: 5y^2 + 8y - y - 243y^{10} = -243y^{10} + 5y^2 + 7y. Thus, the correct answer is -243y^{10} + 5y^2 + 7y.

1. About 13 out of 18 homes have a personal computer. On a street with 90 homes, how many computers would you expect to have?

• 65

• 75

• 85

• 95

Answer explanation

To find the expected number of homes with a computer, calculate the ratio: 13/18. For 90 homes, multiply: (13/18) * 90 = 65. Thus, you would expect 65 homes to have a personal computer.

Tags

CCSS.7.RP.A.3

1. A bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?

• 11

• 6

• 14

• 4

Answer explanation

The bird's speed is 3.5 m/s (35 meters in 10 seconds). To fly 14 meters, it takes 14/3.5 = 4 seconds. Thus, the correct answer is 4.

Tags

CCSS.6.RP.A.3B

• 2

• 3

• 14

• 24

Answer explanation

To solve the proportion k:8=9:3, cross-multiply: k * 3 = 9 * 8. This gives k = (9 * 8) / 3 = 72 / 3 = 24. Thus, the correct answer is 24.

• x = 1

• x = 2

• x = 3

• x = 4

Answer explanation

To solve \( \frac{x}{4} = \frac{18}{24} \), simplify \( \frac{18}{24} \) to \( \frac{3}{4} \). Then, set \( \frac{x}{4} = \frac{3}{4} \). Cross-multiplying gives \( x = 3 \). Thus, the correct answer is x = 3.

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Answer explanation

Given \( \frac{x}{4} = \frac{y}{7} \), we can cross-multiply to get \( 7x = 4y \). Dividing both sides by \( 4y \) gives \( \frac{x}{y} = \frac{4}{7} \). Thus, the answer is \( \frac{4}{7} \).

Tags

CCSS.7.RP.A.2B