Equation Solving Quiz

Solve the equation: 3x + 5 = 17

• 6

• 8

• 10

• 4

Answer explanation

The question is to solve the equation 3x + 5 = 17. To find x, we need to isolate it on one side of the equation. We start by subtracting 5 from both sides of the equation, giving us 3x = 12. Dividing both sides by 3 then gives us x = 4, which is the correct answer.

Find the value of x in the equation: 2(x - 4) = 10

• 12

• 5

• 9

• 7

Answer explanation

In the given question, we are asked to find the value of x in the equation 2(x - 4) = 10. If we solve it, we get 2x - 8 = 10. By adding 8 to both sides, we get 2x = 18. If we divide both sides by 2, we get x = 9. Therefore, the answer is 9.

Simplify the equation: 4 - 2x = 10 - 3x

• x = 6

• x = 8

• x = 4

• x = 10

Answer explanation

The given equation is 4 - 2x = 10 - 3x. To solve this, first isolate x terms by adding 3x to both sides, which gives you x = 6 - 2x. Then, add 2x to both sides to get 3x = 6. Finally, divide both sides by 3 to find that x equals 6, which corresponds to the correct answer.

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

• -2

• 0

• 1.5

• -2.5

Answer explanation

To solve the given equation, first expand the expression on the left side to get 6x + 2. Then, rearrange the equation to find the value of x, which results in x = -2.5. Therefore, the correct answer to the question is -2.5.

Find the value of x in the equation: 5x - 7 = 3x + 9

• 8

• -2

• 12

• 5

Answer explanation

To solve the equation 5x - 7 = 3x + 9, first, subtract 3x from both sides to get 2x - 7 = 9. Then, add 7 to both sides of the equation to get 2x = 16. Finally, divide by 2 to isolate x, which gives the value of x as 8.

Simplify the equation: 2x + 3 - 4x = 7 - 2x

• No solution

• Infinite solutions.

• x = 0.

• x = 1.

Answer explanation

In the given equation 2x + 3 - 4x = 7 - 2x, if we combine similar terms, we get -2x + 3 = 7 - 2x. Here, if we subtract -2x from both sides, the equation becomes 3 = 7, which is not possible. Hence, there is no solution for this equation.

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

• 7

• 3

• 10

• -7

Answer explanation

The equation is 4(x - 2) + 3 = 2(x + 5) - 1. First, distribute the 4 and 2 inside the brackets to get 4x - 8 + 3 = 2x + 10 - 1. Simplify to get 4x - 5 = 2x + 9. Subtract 2x from both sides to get 2x - 5 = 9. Add 5 to both sides to get 2x = 14. Finally, divide by 2 to solve for x, and x equals 7, which is the correct answer.

Find the value of x in the equation: 2(5x + 3) - 4 = 3(2x - 1) + 5

• -2/7

• 1/7

• 3/7

• 2/7

Answer explanation

The given question is an algebraic equation. To find the value of 'x', first distribute the 2 in the first bracket and the 3 in the second bracket. Then, simplify the equation and solve for 'x'. After doing all the steps, you'll find that 'x' equals 2/7, which is the correct answer.

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

• x = 2/3

• x = 4/3

• x = 1/3

• x = 5/3

Answer explanation

Expanding and simplifying the equation gives 3x - 2*4 + 2x = 2x + 2 - 5. This simplifies to 5x - 8 = 2x - 3. By solving for x, we find that x = 5/3, which is the correct answer.

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

• -3/4

• -1/2

• -2/3

• -5/4

Answer explanation

First, distribute the expressions in the equation, leading to: 6x + 4 = 10x + 10 - 3. Simplifying this gives 6x + 4 = 10x + 7. Rearrange this to 4x = -3, then solve for x to get x = -5/4, which aligns with the correct choice.