Lesson 1.2 Quiz Review (With Word Problems)

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Answer explanation

To isolate the variable x in the equation 11-3x=44, the first step is to eliminate the constant on the left side. Subtracting 11 from both sides simplifies the equation, making it easier to solve for x.

• Add 10

• Subtract 10

• Add 3

• Divide by -3

Answer explanation

To isolate the variable y, the first step is to eliminate the constant on the left side. Therefore, you should subtract 10 from both sides of the equation 10 - 3y = 4.

Tags

CCSS.7.EE.B.4A

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

Answer explanation

To isolate the variable x in the equation 3x - 5 = 7, the first step is to eliminate the -5. Adding 5 to both sides simplifies the equation, making it easier to solve for x.

Tags

CCSS.7.EE.B.4A

• Add 9 to both sides of the equation

• Add 6 to both sides of the equation

• Subtract 6 from both sides of the equation

• Subtract 5k from both sides of the equation

Answer explanation

To isolate the variable k, we need to eliminate the constant term on the left side. Subtracting 6 from both sides simplifies the equation to 5k = -15, making it easier to solve for k.

Tags

CCSS.7.EE.B.4A

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Answer explanation

To solve the equation 5b - 6 = 24, first add 6 to both sides to isolate the term with b. This gives 5b = 30. Then, divide both sides by 5 to find b = 6. Thus, the correct steps are to add 6 and then divide by 5.

Tags

CCSS.7.EE.B.4A

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 4x to both sides of the equation

• Subtract 6 from both sides of the equation

Answer explanation

To isolate the variable x, we need to eliminate the constant on the left side. Subtracting 6 from both sides simplifies the equation to -4x = 4, making it easier to solve for x.

Tags

CCSS.7.EE.B.4A

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

Mathematical Equivalence

ON

Tags

CCSS.7.EE.B.4A

Mathematical Equivalence

ON

Tags

CCSS.7.EE.B.4A

Mathematical Equivalence

ON

Answer explanation

To solve for x, combine like terms: 2x + 4x = 6x. The equation becomes 6x - 3 = 27. Adding 3 to both sides gives 6x = 30. Dividing by 6 results in x = 5, which is the correct answer.

Tags

CCSS.8.EE.C.7B