Simplify Algebraic Expressions

Simplify: 2x + 3x

• 5x

• 6x

• x

• 5

Answer explanation

To simplify 2x + 3x, you add the coefficients of x which gives 5x. Therefore, the correct answer is 5x.

Tags

CCSS.7.EE.A.1

Simplify: 4y - 2y + 7

• 2y + 7

• 6y

• 2y

• 2y - 7

Answer explanation

To simplify the expression, combine like terms: 4y - 2y = 2y. Therefore, the simplified expression is 2y + 7.

Tags

CCSS.7.EE.A.1

Simplify: 5(a + 4) - a

• 4a + 20

• 5a + 4

• a + 20

• 5a + 20

Answer explanation

To simplify, distribute the 5 to both terms inside the parentheses: 5a + 20. Then, subtract 'a' to get 4a + 20 as the final answer.

Tags

CCSS.6.EE.A.3

Simplify: 3(2b - 5) + 6b

• 12b - 15

• 6b - 15

• 6b - 5

• 18b - 15

Answer explanation

To simplify, distribute the 3 to both terms inside the parentheses: 6b - 15. Then, combine like terms by adding 6b to get 12b. Therefore, the simplified expression is 12b - 15.

Tags

CCSS.6.EE.A.3

In the expression shown, x, y, and z are values where the expression is defined. What is the simplest form of the expression? Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

AI.9.11.B

What is the simplest form of the expression? Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

AI.9.11.B

Simplify: 9m - 4(2m + 3)

• m - 12

• 5m - 12

• m + 12

• 5m + 12

Answer explanation

To simplify, distribute the -4: 9m - 8m - 12. Combine like terms: 9m - 8m = m. Therefore, the simplified expression is 5m - 12.

Tags

CCSS.6.EE.A.3

Simplify: 3x^2 + 2x - 5x^2

• -2x^2 + 2x

• x^2 + 2x

• -2x^2 - 2x

• x^2 - 2x

Answer explanation

To simplify 3x^2 + 2x - 5x^2, combine like terms: 3x^2 - 5x^2 = -2x^2, then add 2x. The correct answer is -2x^2 + 2x.

Tags

CCSS.7.EE.A.1

Simplify: 6(y - 2) + 4y

• 10y - 12

• 2y + 12

• 10y + 12

• 2y + 12

Answer explanation

To simplify, distribute the 6 to y and -2, then combine like terms with the 4y. This results in 6y - 12 + 4y = 10y - 12, so the correct answer is 10y - 12.

Tags

CCSS.6.EE.A.3

Simplify: 4z + 3 - 2z + 5

• 2z + 8

• 6z + 8

• 2z - 2

• 6z - 2

Answer explanation

Combine like terms by adding 4z and -2z to get 2z, then add 3 and 5 to get 8. Therefore, the simplified expression is 2z + 8.

Tags

CCSS.7.EE.A.1