Two Step Variable Equations

Solve the equation: 1/3x - 6 = 5

• x = 33

• x = 36

• x = 39

• x = 42

Answer explanation

To solve the equation 1/3x - 6 = 5, first add 6 to both sides to get 1/3x = 11. Then, multiply both sides by 3 to isolate x, resulting in x = 33. Therefore, the correct choice is x = 33.

Tags

CCSS.7.EE.B.4A

Solve the equation: -1.5x - 0.3 = 2.7

• x = -2

• x = -5

• x = 2

• x = 5

Answer explanation

To solve the equation -1.5x - 0.3 = 2.7, we first add 0.3 from both sides, which gives us -1.5x = 3.0. Then, we divide both sides by -1.5 to isolate x, which gives us x = -2.

Tags

CCSS.7.EE.B.4A

Solve the equation: 4.5 - 1.2x = 2.1

• x = 1

• x = 2

• x = 3

• x = 4

Answer explanation

To solve the equation 4.5 - 1.2x = 2.1, we first subtract 4.5 from both sides to get -1.2x = -2.4. Then, we divide both sides by -1.2 to isolate x. This gives us x = 2, which is the correct answer.

Tags

CCSS.7.EE.B.4A

Solve the equation: 5/6x - 3 = 2

• x = 6

• x = 7

• x = 8

• x = 9

Answer explanation

To solve the equation, we need to isolate the variable x. First, we can add 3 to both sides of the equation to get rid of the constant term. This gives us 5/6x = 5. Next, we can multiply both sides of the equation by the reciprocal of 5/6, which is 6/5. This cancels out the fraction, leaving us with x = 6. Therefore, the correct choice is x = 6.

Tags

CCSS.7.EE.B.4A

Solve the equation: 3/8x + 1 = 5

• x = 24

• x = 10

• x = 32/3

• x = 32

Answer explanation

To solve the equation, we need to isolate the variable x. First, subtract 1 from both sides of the equation: 3/8x = 4. Next, multiply both sides by the reciprocal of 3/8, which is 8/3: x = (4)(8/3) = 32/3. Therefore, the correct answer is x = 32/3.

Tags

CCSS.7.EE.B.4A

Solve the equation: 1/5x + 0.2 = 0.4

• x = 1

• x = 2

• x = 3

• x = 4

Answer explanation

To solve the equation 1/5x + 0.2 = 0.4, first subtract 0.2 from both sides to get 1/5x = 0.2. Then, multiply both sides by 5 to isolate x, resulting in x = 1. Therefore, the correct choice is x = 1.

Tags

CCSS.7.EE.B.4A

Solve the equation: -4x + 5 = 29

• x = -6

• x = 96

• x = 6

• x = -34/4

Answer explanation

To solve the equation -4x + 5 = 29, we need to isolate the variable x. First, subtract 5 from both sides to get -4x = 24. Next, divide both sides by -4 to find x = -6. Therefore, the correct choice is x = -6.

Tags

CCSS.7.EE.B.4A

Solve the equation: 0.4x - 1 = 4

• x = 7

• x = 12.5

• x = 5

• x = 7.5

Answer explanation

To solve the equation 0.4x - 1 = 4, we need to isolate the variable x. Adding 1 to both sides of the equation, we get 0.4x = 5. Dividing both sides by 0.4, we find x = 12.5. Therefore, the correct answer is x = 12.5. 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.

Tags

CCSS.7.EE.B.4A

Solve the equation: 0.8x + 0.4 = 1.6

• x = 1.5

• x = 1.5

• x = 2.5

• x = 0.96

Answer explanation

To solve the equation, we need to isolate the variable x. Subtracting 0.4 from both sides gives us 0.8x = 1.2. Dividing both sides by 0.8, we find x = 1.5. Therefore, the correct choice is 'x = 1.5'. This answer satisfies all the given conditions and provides a clear explanation of the solution to the question.

Tags

CCSS.7.EE.B.4A

You want to know how much time it will take to completely fill a 10.75 gallon bucket. If it took you 2 minutes to fill 1 gallon of the bucket with water, how many more minutes will it take to fill the bucket completely? The equation is 0.5x + 1 = 10.75, where x represents the minutes filling the bucket.

• x = 11.75

• x = 19.5

• x = 23.5

• x = 25

Answer explanation

To find out how much time it will take to fill the 10.75 gallon bucket, we can use the equation 0.5x + 1 = 10.75, where x represents the minutes filling the bucket. Solving this equation, we get x = 19.5. Therefore, it will take an additional 19.5 minutes to fill the bucket completely.

Tags

CCSS.7.EE.B.4A