Equations with Variables on Both Sides

Solve for x: Noah has 3 apples and Emma gave him 5 more. Then Mason took 7 apples from Noah. How many apples does Noah have now?

• x = 3

• x = -12

• x = -5

• x = 10

Find the value of y: Nora has 4 apples and she gives 8 apples to Jackson. Meanwhile, Evelyn has 2 apples and she receives 12 apples. How many apples does Nora have now?

• Nora has 15 apples

• Nora has 6 apples

• Nora has 8 apples

• Nora has 10 apples

Simplify and solve the equation: 2(a - 4) = 3a + 5

• a = -5

• a = 2

• a = 10

• a = -14

Solve for x: 2x - 7 = x + 3

• x = 2

• x = 10

• x = 5

• x = 15

Find the value of y in the equation: Noah has 3 apples and Anika gave him 6 more, while William took 4 apples from Noah. How many apples does Noah have now?

• Noah has 2 apples

• Noah has -10 apples

• Noah has 5 apples

• Noah has 0 apples

Determine the value of z in the equation 4z - 5 = 3z + 8

• z = 6

• z = 15

• z = 13

• z = 10

Simplify and solve the equation: 3(b - 2) = 2b + 7

• b = 13

• b = -4

• b = 5

• b = 10

Solve for x: Mia has 4 apples and Benjamin has 9 apples. If Mia gives 3 apples to Benjamin and Benjamin gives 6 apples to Abigail, how many apples does Mia have now?

• x = 15

• x = 18

• x = 12

• x = 10

Grace went to a store and bought 5 notebooks for $10 each. She also bought 3 pens for $5 each. If she paid a total of $35, find the value of y in the equation 5y + 10 = 3y - 5, where y represents the cost of each pen.

• y = 0

• y = 2

• y = 7

• y = -5

Determine the value of z in the equation 6z - 4 = 4z + 12, if Jackson, Benjamin, and Michael each have 6 apples and then receive 4 more apples.

• z = 5

• z = 8

• z = 10

• z = 6