2.1 Solving One-Step Equations

To solve the equation:

4p = 16

what needs to be done to both sides to isolate the variable?

• Add 4

• Subtract 4

• Multiply by 4

• Divide by 4

Answer explanation

To isolate the variable p in the equation 4p = 16, you need to divide both sides by 4. This gives p = 4, which is the solution.

Tags

CCSS.6.EE.B.7

What do you need to do to both sides to isolate the variable?

• Add 5

• Subtract 5

• Multiply by 5

• Divide by 5.

Answer explanation

To isolate the variable, you need to eliminate any coefficients. If the variable is multiplied by 5, you must multiply both sides of the equation by 5 to maintain equality, making 'Multiply by 5' the correct choice.

Tags

CCSS.6.EE.B.7

Mathematically, what is the 10 doing to the x?

10x = 90

• Adding 10

• Subtracting 10

• Multiplying 10

• Dividing 10

Answer explanation

In the equation 10x = 90, the 10 is multiplying the variable x. To isolate x, you would divide both sides by 10, confirming that 10 is indeed multiplying x.

Tags

CCSS.HSA.REI.A.1

When solving the equation 3x = 27, what should you do to both sides to isolate the variable?

• Add 3

• Subtract 3

• Multiply by 3

• Divide by 3.

Answer explanation

To isolate the variable x in the equation 3x = 27, you should divide both sides by 3. This gives you x = 9, which is the solution.

Tags

CCSS.6.EE.B.7

What is the correct step to solve for the variable?
15 = m - 5

• add 15 to both sides

• add 5 to both sides

• subtract 15 from both sides

• subtract 5 from both sides

Answer explanation

To isolate m in the equation 15 = m - 5, you need to eliminate -5. Adding 5 to both sides gives 15 + 5 = m, simplifying to 20 = m. Thus, the correct step is to add 5 to both sides.

Tags

CCSS.6.EE.B.7

How would you solve this equation: 9x=153?

• add 9 to both sides

• subtract 9 from both sides

• multiply 9 to both sides

• divide 9 from both sides

Answer explanation

To solve the equation 9x=153, you need to isolate x. Dividing both sides by 9 gives x=17, which is the correct method. The other options do not help in isolating x.

Tags

CCSS.6.EE.B.7

To solve the equation:

-5x = 25

the first step is:

• Add 5

• Subtract 5

• Multiply -5

• Divide -5

Answer explanation

To solve -5x = 25, you need to isolate x. The first step is to divide both sides by -5 to get x by itself. Thus, the correct choice is to 'Divide -5'.

Tags

CCSS.6.EE.B.7

-16+ x= -15

1st Step:

• Add 15

• Subtract 15

• Add 16

• Subtract 16

Answer explanation

To isolate x in the equation -16 + x = -15, add 16 to both sides. This cancels out -16, resulting in x = -15 + 16, which simplifies to x = 1. Thus, the correct first step is to add 16.

Tags

CCSS.6.EE.B.7

-3x=12

Solve by doing what to both sides?

• Add 3

• Subtract 3

• Multiply by -3

• Divide by -3

Answer explanation

To solve -3x = 12, you need to isolate x. Divide both sides by -3 to get x = -4. This is the correct operation to eliminate the coefficient of x.

Tags

CCSS.6.EE.B.7

x + 4 = -3

• -1

• 4

• -7

• 8

Answer explanation

To solve for x, subtract 4 from both sides: x = -3 - 4. This simplifies to x = -7, which is the correct answer.

Tags

CCSS.6.EE.B.7