DCA 3 Corrections Activity

• 1

• 2

• 3

• 4

Answer explanation

To solve the inequality 2h > 4, divide both sides by 2, giving h > 2. Therefore, h can be any value greater than 2. Among the choices, 3 is the only value that satisfies this condition.

Sierra must practice the piano more than 7 minutes a day. Which number line represents the amount of time, in minutes, that Sierra could spend practicing the piano.

• A

• B

• C

• D

Answer explanation

The question states Sierra must practice more than 7 minutes. Therefore, the correct number line must show values greater than and not including 7.

• Graph A

• Graph B

• Graph C

• Graph D

Answer explanation

To solve the inequality x - 5 ≥ 2, add 5 to both sides to get x ≥ 7. Graph B correctly shows a closed circle at 7 and shading to the right, indicating all values greater than or equal to 7.

Mrs. Daulton is a photographer. For each job she charges $135 per hour. Mrs. Daulton charged a total of $405 for a job on Friday. Which equation can be used to determine h, the number of hours she worked on this job?

Answer explanation

Mrs. Daulton charges $135 per hour. To find the number of hours (h) she worked for a total of $405, we set up the equation 135h = 405. This shows that the total charge is equal to the hourly rate multiplied by the hours worked.

Answer explanation

To find the value of x in the equation 4x = 108, divide both sides by 4. This gives x = 108 / 4 = 27. Therefore, the correct answer is 27.

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The model represents an equation. What value of x makes the equation true?

• 3

• 4

• 5

• 6

Answer explanation

To find the value of x that makes the equation true, substitute each answer choice into the equation. When x = 5, the equation holds true, confirming that 5 is the correct answer.

Which equation is true when the value of x is 12?

Answer explanation

To find the correct equation for x=12, substitute 12 into each option. Only in the equation x+22=34 does it hold true: 12+22=34. The other equations do not equal the right side when x is 12.

Duane found the prime factorization for each number below. Which prime factorization does NOT correctly represent the number shown?

• 90

• 110

• 250

• 400

Answer explanation

The prime factorization of 400 is incorrectly represented. The correct factorization is 2^4 × 5^2, not 2^2 × 5^2. The other numbers have correct prime factorizations.

What is the ordered pair for point A?

• ( 2, 0)

• ( 0 , 2)

• (0, -2)

• (-2,0)

Answer explanation

Point A is represented by the coordinates (2, 0), where 2 is the x-coordinate and 0 is the y-coordinate. This matches the correct answer choice (2, 0) among the options provided.

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.8