Solving Equations

Solve for the variable. 3x=-27

• x=9

• x=-30

• x=-9

• x=-24

Answer explanation

To solve for x in the equation 3x = -27, divide both sides by 3. This gives x = -27 / 3, which simplifies to x = -9. Therefore, the correct answer is x = -9.

Solve: 3(x-4) = -3

• 3

• -3

• 5

• -5

Answer explanation

To solve 3(x-4) = -3, first divide both sides by 3: x-4 = -1. Then, add 4 to both sides: x = 3. Thus, the correct answer is 3.

Solve for d:
-7(6 + d) = 49

• 13

• 1

• -1

• -13

Answer explanation

To solve for d, first distribute -7: -42 - 7d = 49. Then, add 42 to both sides: -7d = 91. Finally, divide by -7: d = -13. Thus, the correct answer is -13.

33 = 4a - 7

• a=-10

• a=10

• a=4.5

Answer explanation

To solve for a, start with the equation 33 = 4a - 7. Add 7 to both sides to get 40 = 4a. Then, divide by 4 to find a = 10. Thus, the correct answer is a=10.

-3a + 8 = 14

• a= -2

• a= -7.5

• a= 2

• a= 6

Answer explanation

To solve -3a + 8 = 14, subtract 8 from both sides: -3a = 6. Then, divide by -3: a = -2. Thus, the correct answer is a = -2.

3 + (¹∕₄)a = 31

• a= 28

• a= 112

• a= 7

• a= 67

Answer explanation

To solve for a, first subtract 3 from both sides: (¹∕₄)a = 28. Then, multiply both sides by 4 to isolate a: a = 28 * 4 = 112. Thus, the correct answer is a = 112.

Solve.
(2x - 3) / 4  = 9

• x = 24

• x = 12

• x = 17.5

• x = 19.5

Answer explanation

To solve (2x - 3) / 4 = 9, multiply both sides by 4: 2x - 3 = 36. Then add 3: 2x = 39. Finally, divide by 2: x = 19.5. Thus, the correct answer is x = 19.5.

6(m+3)=2(m+5)

• No solution

• One Solution

• Infinite Solutions

Answer explanation

To solve 6(m+3)=2(m+5), distribute: 6m + 18 = 2m + 10. Rearranging gives 4m = -8, leading to m = -2. This is one unique solution.