Solving 2 Step 1 Variable Equations

The equation is -2x - 3 = 9

• x = 24

• x = -6

• x = -24

• x = 4

Answer explanation

To solve the equation -2x - 3 = 9, we need to isolate the variable x. Adding 3 to both sides of the equation, we get -2x = 12. Dividing both sides by -2, we find x = -6. Therefore, the correct choice is x = -6.

Solve the equation: 5x + 2 = 17

• x = 3

• x = 4

• x = 5

• x = 6

Answer explanation

To solve the equation 5x + 2 = 17, we need to isolate the variable x. Subtracting 2 from both sides gives us 5x = 15. Dividing both sides by 5, we find that x = 3. Therefore, the correct choice is 'x = 3'. This answer explanation provides a step-by-step solution to the given question, highlighting the correct choice without mentioning the option number. It follows the specified conditions, ensuring that the explanation is within 75 words and is in English language.

Solve the equation is x - 5/2 = 7/2

• x = 3/2

• x = 6

• x = 9

• x = 1

Answer explanation

To solve the equation, we need to isolate the variable x. Adding 5/2 to both sides of the equation, we get x = 7/2 + 5/2, which simplifies to x = 12/2. Further simplifying, x = 6. Therefore, the correct choice is x = 6.

You have a small jar of quarters and pennies worth 12 dollars, and you have counted 75 pennies in the jar. You want to know how many quarters are in the jar. The equation is 0.25x + 0.75 = 12, where x represents the number of quarters.

• x = 45

• x = 2.81

• x = 11.25

• x = 6

Answer explanation

To find the number of quarters in the jar, we can solve the equation 0.25x + 0.75 = 12, where x represents the number of quarters. Simplifying the equation, we get 0.25x = 11.25. Dividing both sides by 0.25, we find x = 45. Therefore, there are 45 quarters in the jar.

You went shopping and bought multiple packs of cookies represented by x, that cost you $2.00 each, plus an additional $3.00 for tax. Your total cost for the cookies was $23.00. How many packs of cookies did you buy? 2x + 3 = 23.

• x = 8

• x = 10

• x = -10

• x = 13

Answer explanation

To find the number of packs of cookies you bought, solve the equation 2x + 3 = 23. Subtract 3 from both sides to get 2x = 20. Divide both sides by 2 to find x = 10. Therefore, you bought 10 packs of cookies. The correct choice is x = 10.

You are trying to solve a puzzle that has a total of 750 pieces. Your goal is to place 30 pieces of the puzzle every day. How many days will it take for you to finish the puzzle? The equation is 750 - 30x = 0, where x represents the number of days it will take to complete the puzzle.

• x = 25

• x = 720

• x = -25

• x = 16

Answer explanation

To solve the puzzle, you need to place 30 pieces every day. The equation 750 - 30x = 0 represents the number of days it will take to complete the puzzle. By solving the equation, we find that x = 25. Therefore, it will take 25 days to finish the puzzle.

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.

Solve the equation: 2x + 37/7 = 5/7

• x = -6

• x = -3.25

• x = -32/7

• x = -16/7

Answer explanation

To solve the equation, we need to isolate the variable x. Subtracting 37/7 from both sides gives us 2x = 5/7 - 37/7, which simplifies to 2x = -32/7. Dividing both sides by 2, we find x = -16/7. Therefore, the correct choice is x = -16/7.

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.

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.