Mastering Equations and Operations: Quiz

Which of the following are like terms?

Tags

CCSS.6.EE.A.2B

What is the inverse operation of addition?

• Multiplication

• Subtraction

• Division

• Exponentiation

Answer explanation

The inverse operation of addition is subtraction. While addition combines numbers, subtraction removes one number from another, effectively reversing the addition process.

Tags

CCSS.2.NBT.B.5

Answer explanation

To solve the equation x + 5 = 12, subtract 5 from both sides: x = 12 - 5. This simplifies to x = 7, which is the correct answer.

Tags

CCSS.6.EE.B.7

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 3

• Multiply both sides by 3

Answer explanation

To solve the equation 3x + 4 = 19, the first step is to isolate the term with x. Subtracting 4 from both sides simplifies the equation to 3x = 15, making it easier to solve for x.

Tags

CCSS.7.EE.B.4A

Answer explanation

The expression 7x^2 + 3x - 5 consists of three terms: 7x^2 (the quadratic term), 3x (the linear term), and -5 (the constant term). Thus, the correct choice is 7x^2, 3x, -5.

Tags

CCSS.6.EE.A.2B

• Add 9

• Subtract 9

• Multiply by 9

• Divide by 9

Answer explanation

To isolate x in the equation x - 9 = 15, you need to eliminate -9. The operation to do this is to add 9 to both sides of the equation, resulting in x = 15 + 9, which simplifies to x = 24.

Tags

CCSS.6.EE.B.7

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 2

• Multiply both sides by 2

Answer explanation

To solve the equation 2x - 3 = 7, the first step is to add 3 to both sides, resulting in 2x = 10. The second step is to divide both sides by 2 to isolate x, giving x = 5.

Tags

CCSS.7.EE.B.4A

Which of the following expressions are not like terms?

Tags

CCSS.6.EE.A.2B

Answer explanation

To solve \( \frac{x}{4} = 3 \), multiply both sides by 4: \( x = 3 \times 4 \). Thus, \( x = 12 \). The correct answer is \( x = 12 \).

Tags

CCSS.6.EE.B.7

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 5

• Multiply both sides by 5

Answer explanation

To solve the equation 5x + 2 = 17, the first step is to isolate the term with x. Subtracting 2 from both sides simplifies the equation to 5x = 15, making it easier to solve for x.

Tags

CCSS.7.EE.B.4A