linear equations

Solve for y :  y - 3 = 10

• y = 13

• y = 7

• y = 6

• None of the above

Answer explanation

To solve for y, add 3 to both sides of the equation: y - 3 + 3 = 10 + 3, which simplifies to y = 13. Therefore, the correct answer is y = 13.

3x - 4 = 5

• x = -3

• x = 9

• x = 1/3

• x = 3

Answer explanation

To solve for x in the equation 3x - 4 = 5, add 4 to both sides to get 3x = 9. Then, divide both sides by 3 to find x = 3. Thus, the correct answer is x = 3.

If 2x=18 then x=.....

• 18

• 9

• 6

• 2

Answer explanation

To solve for x in the equation 2x=18, divide both sides by 2. This gives x=18/2, which simplifies to x=9. Therefore, the correct answer is 9.

Solve for k:
3k + 5 = 23

• k = 4

• k = 5

• k = 6

• k = 7

Answer explanation

To solve for k, subtract 5 from both sides: 3k = 18. Then, divide by 3 so k = 6. Thus, the correct answer is k = 6.

If 7x + 3 = 24, what is the value of 5 - 4x ?

• -23

• -7

• 1

• 17

Answer explanation

First, solve for x in 7x + 3 = 24. Subtract 3 from both sides: 7x = 21, then divide by 7.

x = 3.

Now, substitute x into 5 - 4x

5 - 4(3) = 5 - 12 = -7. Thus, the correct answer is -7.

The variables in the equation 2x-3y=9 are

• x

• y

• x and y

• None of these

Answer explanation

In the equation 2x-3y=9, both x and y are variables that can change.

Therefore, the correct answer is 'x and y' as they are the variables present in the equation.

What is the next step to solve this equation?

3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

Answer explanation

To isolate x term in the equation 3x - 5 = 7, we need to eliminate (get rid of) the -5.

Adding 5 to both sides will simplify the equation to 3x = 12, making it easier to solve for x.

What is the next step to solve this equation?

n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

Answer explanation

To isolate the term with n in the equation n - 4 = -2,

you need to eliminate the -4.

The correct step is to add 4 to both sides, resulting in n = 2.

This makes 'Add 4 to both sides of the equation' the correct choice.

What is the first step to solve this equation?

3x + 6 = 10 + 3x + 4x

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

Answer explanation

The first step is to combine like terms on the right side of the equation. Adding 3x and 4x gives 7x, simplifying the equation and making it easier to solve.

In order to solve an equation, we must get variables on side of an equation, and constants on the opposite side.

• True

• False

Answer explanation

True. To solve an equation, we isolate variables on one side and constants on the other.

This helps in simplifying the equation and finding the value of the variable.