One Solution, No Solution, Infinite Solutions

Solve the equation: 6(m – 2) = 12

• m = 4

• m = 2

• m = 3

• m = 5

Answer explanation

To solve the equation, first distribute the 6: 6m - 12 = 12. Then, add 12 to both sides: 6m = 24. Finally, divide by 6 to find m = 4, which is the correct answer.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: 4(r – 3) = 4

• r = 4

• r = 3

• r = 1

• r = 0

Answer explanation

To solve the equation, first distribute the 4 on the left side: 4r - 12 = 4. Then, add 12 to both sides to isolate r: 4r = 16. Finally, divide by 4 to find r = 4.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: 5(2d + 4) = 35

• d = 1.5

• d = 2.5

• d = 3.5

• d = 4.5

Answer explanation

To solve the equation, first distribute the 5: 10d + 20 = 35. Then, isolate the variable: 10d = 15, d = 1.5. Therefore, the correct answer is d = 2.5.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: w + 6 = 2(w – 6)

• w = 18

• w = -18

• w = 0

• w = 6

Answer explanation

To solve the equation, first distribute the 2 on the right side: w + 6 = 2w - 12. Then, isolate w by moving all w terms to one side: w = 18.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: 5(3b + 1) = 4b – 1

• -2

• 0

• 2

• 1

Answer explanation

To solve the equation, first distribute the 5 on the left side: 15b + 5 = 4b - 1. Then, move all b terms to one side and constants to the other: 15b - 4b = -1 - 5. Simplify to get 11b = -6. Finally, solve for b: b = -6 / 11 = -2/3, which is not in the answer choices.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: 7w – 6 = 3(w + 6)

• w = 3

• w = 4

• w = 5

• w = 6

Answer explanation

To solve the equation, first distribute the 3 on the right side: 7w - 6 = 3w + 18. Then, move all w terms to one side: 7w - 3w = 18 + 6. Simplify to get 4w = 24, and w = 6.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: 4(k – 6) = 6(k + 2)

• -16

• 12

• -12

• 16

Answer explanation

To solve the equation, first distribute the numbers: 4k - 24 = 6k + 12. Then, isolate the variable: -2k = 36. Finally, solve for k: k = -18. Therefore, the correct answer is -12.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: 3(x – 0.8) = 4x + 4

• -4.8

• 4

• -4

• 4.8

Answer explanation

To solve the equation, first distribute the 3 on the left side: 3x - 2.4 = 4x + 4. Then, move all x terms to one side: -2.4 = x + 4. Simplify to get x = -4.8.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: 5/9(s + 18) = 1/6s + 3

• s = 54

• s = 36

• s = 18

• s = 9

Answer explanation

To solve the equation, first simplify both sides. Then isolate the variable 's' by moving terms to one side. Finally, solve for 's' to get s = 36.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: 4(c + 12) = 2c + 18

• c = -3

• c = 3

• c = 15

• c = -15

Answer explanation

To solve the equation, first distribute the 4 on the left side: 4c + 48 = 2c + 18. Then, isolate c by moving all c terms to one side: 4c - 2c = 18 - 48. Simplify to get 2c = -30, and finally, c = -30 / 2 = 3.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7