Solving Multi-Step Equations

Solve the equation: 4n - 2n = 4. What is the value of n?

• 1

• 2

• 3

• 4

Answer explanation

To solve 4n - 2n = 4, combine like terms: 2n = 4. Then, divide both sides by 2 to get n = 2. Thus, the value of n is 2.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: -3(1 + 6r) = 14 - r. What is the value of r?

• 1

• -1

• 3

• 4

Answer explanation

To solve -3(1 + 6r) = 14 - r, first distribute: -3 - 18r = 14 - r. Rearranging gives -17r = 17, so r = -1. Thus, the correct answer is -1.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: -16 + 5n = -7(-6 + 8n) + 3. What is the value of n?

• -1

• 0

• 1

• 2

Answer explanation

To solve -16 + 5n = -7(-6 + 8n) + 3, first simplify the right side: -7(-6 + 8n) = 42 - 56n. Then, combine like terms: 5n + 56n = 42 + 16 + 3. This gives 61n = 61, so n = 1. Thus, the correct answer is 1.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the equation: -10n + 3(8 + 8n) = -6(n - 4). What is the value of n?

• -3

• -2

• -1

• 0

Answer explanation

To solve -10n + 3(8 + 8n) = -6(n - 4), first simplify both sides: -10n + 24 + 24n = -6n + 24. Combine like terms to get 14n = 0, thus n = 0. The correct answer is 0.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: 12(2k + 11) = 12(2k + 12). What is the value of k?

• -11

• 0

• 12

• no solution

Answer explanation

To solve 12(2k + 11) = 12(2k + 12), divide both sides by 12: 2k + 11 = 2k + 12. Subtracting 2k gives 11 = 12, which is false. Thus, there is no solution.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.5

What is the first step to solve 6(6v + 6) - 5 = 1 + 6v?

• Expand 6(6v + 6)

• Add 5

• Subtract 1

• Divide by 6

Answer explanation

The first step is to expand 6(6v + 6) to simplify the equation. This will help in isolating the variable v and solving the equation effectively.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: -12 = 2 + 5v + 2v. What is the value of v?

• -3

• -2

• 0

• 2

Answer explanation

To solve -12 = 2 + 5v + 2v, first combine like terms: 5v + 2v = 7v. The equation becomes -12 = 2 + 7v. Subtract 2 from both sides: -14 = 7v. Divide by 7 to find v: v = -2. Thus, the correct answer is -2.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: -1 = -3r + 2r. What is the value of r?

• 1

• -1

• 0

• 2

Answer explanation

To solve -1 = -3r + 2r, combine like terms: -3r + 2r = -r. The equation becomes -1 = -r. Multiply both sides by -1 to get r = 1. Thus, the correct answer is 1.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Solve the equation: 75 = 3(-6n - 5). What is the value of n?

• -5

• 5

• 0

• -10

Answer explanation

To solve 75 = 3(-6n - 5), first divide both sides by 3: 25 = -6n - 5. Then, add 5 to both sides: 30 = -6n. Finally, divide by -6: n = -5. Thus, the correct answer is -5.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What is the solution to the equation -11 + 10(p + 10) = 4 - 5(2p + 11)?

• -7

• 0

• 1

• 2

Answer explanation

To solve -11 + 10(p + 10) = 4 - 5(2p + 11), simplify both sides: -11 + 10p + 100 = 4 - 10p - 55. Combine like terms to get 20p = -7, thus p = -7. The correct answer is -7.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6