Solving Equations Quiz

Solve the equation: 2x + 5 = 17

• 10

• 6

• 3

• 8

Answer explanation

To solve the equation 2x + 5 = 17, we need to isolate the variable x. First, subtract 5 from both sides of the equation to get 2x = 12. Then, divide both sides by 2 to find x = 6. Therefore, the correct answer is 6. This solution satisfies the given equation and highlights the correct choice without mentioning the option number. The question asks to solve the equation, not query, and the explanation adheres to the specified conditions by being within 75 words.

Tags

CCSS.7.EE.B.4A

Find the value of x in the equation: 3(x - 4) = 15

• 3

• 6

• 12

• 9

Answer explanation

To find the value of x in the equation 3(x - 4) = 15, we need to simplify the equation. First, distribute the 3 to both terms inside the parentheses: 3x - 12 = 15. Next, isolate the variable term by adding 12 to both sides: 3x = 27. Finally, divide both sides by 3 to solve for x: x = 9. Therefore, the value of x in the equation is 9.

Tags

CCSS.7.EE.B.4A

Simplify the equation: 2(x + 3) - 4 = 10 - (x - 1)

• x = 3

• x = -2

• x = 5

• x = 7

Answer explanation

To solve the equation, we first simplify both sides. Distributing 2 to (x + 3) gives us 2x + 6, and distributing -1 to (x - 1) gives us -x + 1. Combining like terms, we have 2x + 6 - 4 = 10 - x + 1. Simplifying further, we get 2x + 2 = 11 - x. Adding x to both sides, we have 3x + 2 = 11. Subtracting 2 from both sides, we get 3x = 9. Finally, dividing both sides by 3, we find x = 3. Therefore, the correct answer is x = 3.

Tags

CCSS.8.EE.C.7B

Solve the equation: 4x - 7 = 5x + 3

• -10

• 2

• 0

• -7

Answer explanation

To solve the equation, we need to isolate the variable x on one side. Subtract 5x from both sides to get -x - 7 = 3. Then, add 7 to both sides to get -x = 10. Finally, multiply both sides by -1 to get x = -10. Therefore, the solution to the equation 4x - 7 = 5x + 3 is x = -10.

Find the value of x in the equation: 2x + 8 = 3x - 4

• 6

• -16

• 0

• 12

Answer explanation

To find the value of x in the equation 2x + 8 = 3x - 4, we need to isolate x on one side of the equation. Subtracting 2x from both sides gives us 8 = x - 4. Adding 4 to both sides, we get 12 = x. Therefore, the value of x is 12. This solution satisfies the equation and highlights the correct choice without mentioning the option number. The given question asks to find the value of x in the equation, not the query.

Solve the equation: 2(x + 4) = 3(x - 1) + 5

• 6

• 2x + 4 = 3x - 1 + 5

• 10

• -6

Answer explanation

To solve the equation, we need to simplify both sides. Distribute the 2 on the left side to get 2x + 8. Distribute the 3 on the right side to get 3x - 3 + 5. Combine like terms to get 2x + 8 = 3x + 2. Subtract 2x from both sides to get 8 = x + 2. Subtract 2 from both sides to get 6 = x. Therefore, the solution is x = 6. This matches option '6'.

Tags

CCSS.8.EE.C.7B

Simplify the equation: 4(x - 3) + 2 = 3(x + 2) - 1

• 10

• 15

• -15

• 5

Answer explanation

To solve the equation, we first distribute the 4 and 3 to get 4x - 12 + 2 = 3x + 6 - 1. Simplifying further, we have 4x - 10 = 3x + 5. Next, we isolate the variable terms by subtracting 3x from both sides, resulting in x - 10 = 5. Finally, we add 10 to both sides to solve for x, giving us x = 15. Therefore, the correct choice is 15.

Solve the equation: 3(x + 5) - 2 = 4(x - 1) + 3

• -14

• 14

• 10

• 7

Answer explanation

To solve the equation, we first distribute the 3 and 4 to the terms inside the parentheses. This gives us 3x + 15 - 2 = 4x - 4 + 3. Next, we combine like terms to simplify the equation. This gives us 3x + 13 = 4x - 1. To isolate the variable, we subtract 3x from both sides, resulting in 13 = x - 1. Finally, we add 1 to both sides to solve for x, giving us x = 14. Therefore, the correct answer is 14.

2x+4x=2+4

• X= -1

• x= 0

• x= 1

• x= 2

Answer explanation

To solve the equation, combine like terms on both sides. This gives us 6x = 6. Dividing both sides by 6, we find x = 1. Therefore, the correct choice is 'x = 1'. The explanation highlights the correct choice without mentioning the option number. The given equation is solved by combining terms and dividing to find the value of x. Thus, the question is solved.

Tags

CCSS.8.EE.C.7B

2(x-2)= 4x

• x= 2

• x= -1

• x=-2

• x= -4

Answer explanation

To solve the equation, we need to distribute the 2 to both terms inside the parentheses. This gives us 2x - 4 = 4x. Next, we can combine like terms by subtracting 2x from both sides, resulting in -4 = 2x. Finally, we divide both sides by 2 to isolate x, giving us x = -2. However, the correct choice is x = -1, which means the given equation has no solution. Therefore, the answer is x = -1.

Tags

CCSS.8.EE.C.7B