Unit 5 - Unit Review

Write an expression equivalent to 15k + 6 - 9k - 8 with exactly two terms.

• 6k - 2

• 6k + 2

• 24k - 14

• 24k + 14

Answer explanation

To simplify 15k + 6 - 9k - 8, combine like terms: (15k - 9k) + (6 - 8) = 6k - 2. Thus, the expression equivalent to the original with exactly two terms is 6k - 2.

Tags

CCSS.6.EE.A.4

Which expression is equivalent to 6(x + 3y)?

• x + 3y

• 6 + 3y

• 6x + 3y

• 6x + 18y

Answer explanation

To simplify 6(x + 3y), distribute 6: 6*x + 6*3y = 6x + 18y. Thus, the expression equivalent to 6(x + 3y) is 6x + 18y.

Tags

CCSS.6.EE.A.4

Use what you have learned to complete these problems. Use the greatest common factor of 144 and 24 to write the difference 144 - 24 as a product. Write your answers in the blanks. 144 - 24 = 12 × _______ - 12 × _______ = 12 (_______ - _______)

Answer explanation

The greatest common factor of 144 and 24 is 12. Thus, 144 - 24 = 12 × 12 - 12 × 2 = 12 (12 - 2). Fill in the blanks with 12 and 2.

Tags

CCSS.6.NS.B.4

Rico plays the flute and the clarinet. Today, he plays the flute 8.2 times as long as he plays the clarinet. His total time spent playing the flute and the clarinet today is 46 min. How many minutes does Rico play the flute today?

• 40 minutes

• 41 minutes

• 44 minutes

• 46 minutes

Answer explanation

Let x be the time in minutes Rico plays the clarinet. Then, he plays the flute for 8.2x minutes. The equation is x + 8.2x = 46. Solving gives x = 5.6, so he plays the flute for 8.2 * 5.6 = 41 minutes.

Tags

CCSS.6.EE.B.7

Which value in the set {2, 12, 24, 36} is a solution of the equation x - 24 = 12?

• 2

• 12

• 24

• 36

Answer explanation

To solve the equation x - 24 = 12, add 24 to both sides: x = 12 + 24, which gives x = 36. Therefore, the value 36 from the set {2, 12, 24, 36} is the correct solution.

Tags

CCSS.6.EE.B.5

• 6x-1
• 10x+7
• 6x+1
• 8x+1

Tags

CCSS.7.EE.A.1

Which expression is equivalent to 4(a + 5b)?

• 4a + 5b

• 4 + 5b

• a + 5b

• 4a + 20b

Answer explanation

To simplify 4(a + 5b), distribute 4 to both terms: 4 * a + 4 * 5b = 4a + 20b. Thus, the expression equivalent to 4(a + 5b) is 4a + 20b.

Tags

CCSS.6.EE.A.4

Which value in the set {5, 15, 25, 35} is a solution of the equation x - 10 = 15?

• 35

• 5

• 15

• 25

Answer explanation

To solve x - 10 = 15, add 10 to both sides: x = 25. The value 25 is in the set {5, 15, 25, 35}, making it the correct solution.

Tags

CCSS.6.EE.B.5

• 6x-1
• 10x+7
• 6x+1
• 8x+1

Tags

CCSS.7.EE.A.1

Write an expression equivalent to 20m + 10 - 5m - 15 with exactly two terms.

• 25m + 25

• 25m - 25

• 15m - 5

• 15m + 5

Answer explanation

To simplify 20m + 10 - 5m - 15, combine like terms: (20m - 5m) + (10 - 15) = 15m - 5. Thus, the expression equivalent to the original with exactly two terms is 15m - 5.

Tags

CCSS.6.EE.A.4