Solving Two-Step Equations with Fractional Coefficients

Solve the equation: 1/2x + 3 = 7

• x = 8

• x = 6

• x = 10

• x = 5

Answer explanation

To solve the equation, we need to isolate x. Subtract 3 from both sides to get 1/2x = 4. Multiply both sides by 2 to get x = 8. Therefore, the correct choice is x = 8.

Tags

CCSS.7.EE.B.4A

Find the solution to the equation: 2/3y - 5 = 1

• y = 7

• y = 9

• y = 15

• y = 10

Answer explanation

To solve the equation, first add 5 to both sides. Then, multiply both sides by 3/2. The correct choice is y = 12.

Tags

CCSS.7.EE.B.4A

What is the value of x in the equation: 3/4x + 2 = 5

• 3

• 4

• 1/2

• 2

Answer explanation

To find the value of x, subtract 2 from both sides of the equation. Then, multiply both sides by 4/3. The correct choice is 2 because it satisfies the equation.

Tags

CCSS.7.EE.B.4A

Determine the solution to the equation: 1/5a - 4 = 2

• a = 30

• a = 20

• a = 15

• a = 10

Answer explanation

To solve the equation, we need to isolate the variable 'a'. First, add 4 to both sides of the equation. Then, multiply both sides by 5 to get rid of the fraction. The correct choice is a = 30.

Tags

CCSS.7.EE.B.4A

Solve for x: 2/3x + 1/4 = 5

• x = 3/2

• x = 7/4

• x = 2/5

• x = 57/8

Answer explanation

To solve the equation, we need to isolate x. Multiply both sides by 12 to eliminate the fractions. Simplifying gives 8x + 3 = 60. Subtracting 3 from both sides gives 8x = 57. Dividing both sides by 8 gives x = 57/8, which simplifies to x = 11/6. Therefore, the correct answer is x = 11/6.

Tags

CCSS.7.EE.B.4A

Find the value of y in the equation: 1/6y - 2 = 4

• y = 12

• y = 6

• y = 24

• y = 36

Answer explanation

To find the value of y, we need to isolate y. Adding 2 to both sides gives 1/6y = 6. Multiplying both sides by 6 gives y = 36. Therefore, the correct answer is y = 36.

Tags

CCSS.7.EE.B.4A

What is the solution to the equation: 3/8x + 1/2 = 7

• x = 5

• x = 10

• x = 52/3

• x = 15

Answer explanation

To solve the equation, we need to isolate x. Subtract 1/2 from both sides, then multiply both sides by 8/3. The correct choice is x = 13.

Tags

CCSS.7.EE.B.4A

Solve the equation: 2/5a - 3 = 1

• a = 3

• a = 8

• a = 10

• a = 5

Answer explanation

To solve the equation, we need to isolate the variable 'a'. First, we can add 3 to both sides of the equation. This gives us 2/5a = 4. Next, we can multiply both sides by 5/2 to get rid of the fraction. This gives us a = 8. Therefore, the correct answer is a = 8.

Tags

CCSS.7.EE.B.4A

Determine the value of x in the equation: 1/3x + 4 = 8

• x = 6

• x = 14

• x = 10

• x = 12

Answer explanation

To solve the equation, subtract 4 from both sides to get 1/3x = 4. Then, multiply both sides by 3 to get x = 12. Therefore, the correct choice is x = 12.

Tags

CCSS.7.EE.B.4A

Find the solution to the equation: 3/7y - 2 = 5

• y = 3/7

• y = 7/3

• y = 5/2

• y = 49/3

Answer explanation

To solve the equation, we need to isolate y. Adding 2 to both sides gives 3/7y = 7. Multiplying both sides by 7/3 gives y = 21/3. Therefore, the correct answer is y = 21/3.

Tags

CCSS.7.EE.B.4A