M6 6.PFA.3 Equations

Answer explanation

In the expression 3x + 5, the coefficient is the number that multiplies the variable x. Here, 3 is the number in front of x, making it the coefficient. Therefore, the correct answer is 3.

Tags

VA.6.PFA.3.a

Answer explanation

In the expression 7y - 2, the variable is 'y'. It represents an unknown value that can change, while 7 and 2 are constants.

Tags

VA.6.PFA.3.a

Answer explanation

To solve the equation x - 3 = 7, add 3 to both sides. This gives x = 7 + 3, which simplifies to x = 10. Therefore, the correct answer is x = 10.

Tags

VA.6.PFA.3.c

Answer explanation

To solve x/2=6, multiply both sides by 2: x = 6 times 2. Thus, x = 12 . The correct answer is x = 12 .

Tags

VA.6.PFA.3.c

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

VA.6.PFA.3.d

Answer explanation

To solve the equation 3x = 9, divide both sides by 3. This gives x = 9 / 3, which simplifies to x = 3. Therefore, the correct answer is x = 3.

Tags

VA.6.PFA.3.d

Write a one-step linear equation to represent the situation: "Five more than a number is 11."

Answer explanation

The phrase 'Five more than a number' translates to 'x + 5'. Setting this equal to 11 gives the equation 'x + 5 = 11', which is the correct representation of the situation.

Tags

VA.6.PFA.3.e

Create an equation for the scenario: "A number decreased by 4 equals 10."

Answer explanation

The scenario states 'A number decreased by 4 equals 10', which translates to the equation x - 4 = 10. This correctly represents the operation of decreasing a number (x) by 4.

Tags

VA.6.PFA.3.e

Write an equation for the model above.

• x + 3 = -9

• x - 3 = 9

• 3x + 1 = 9

• 3x - 1 = 9

Answer explanation

The equation x - 3 = 9 correctly represents the model, as it isolates x by adding 3 to both sides, leading to x = 12. The other options do not align with this model.

Tags

CCSS.HSA.CED.A.3

What equation is modeled?  Solve the equation.

• 2x = -4    x = -2

• 2x = 4    x = 2

• 2x = 4    x = 8

Answer explanation

The equation modeled is 2x = 4. To solve for x, divide both sides by 2: x = 4/2, which simplifies to x = 2. Thus, the correct answer is 2x = 4 and x = 2.

Tags

CCSS.6.EE.B.7