Equations With Variables on Both Sides

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

Tags

CCSS.6.EE.B.7

When solving basic equations with variables on both sides, which of the following steps suggests that "all Real numbers" are solutions for a given equation?

• "x = 100"

• "0 = 1"

• "0 = 0"

• "x = 0"

Tags

CCSS.8.EE.C.7A

Based on the process shown in the given example, which of the following statements is true?

• All steps are appropriate and the solution is correct.

• All steps are correct, yet the solution is incorrect.

• The solution is incorrect due to some missing details.

• The solution is correct: however, the process is inappropriate.

Tags

CCSS.HSA.REI.A.1

What is the solution for the equation 3x - 10 = 6x + 8

• -6

• 6

• 2

• -2

Determine the solution to 3 - 7n = n - 12.

• 1.875

• 1.5

• -2.5

• -1.125

What value of y makes 2(y - 1.5) = 3(y + 2.5) true?

• -10.5

• -4.5

• 0.9

• 2.1

Tags

CCSS.8.EE.C.7B

Solve 8x + 4(4x − 3) = 4(6x + 4) − 4. Which of the following is correct as it relates to its solution?

• All Real numbers

• no solution

• 2

• -4

Tags

CCSS.8.EE.C.7A

After correctly solving an equation for x, David's result was x = -3. Which of the following statements is true as it relates to David's solution? Choose all that are true.

• The solution for his equation is -3.

• If -3 were substituted in David's original equation, then his equation will be a true mathematical statement.

• There are multiple solutions that are also negative.

• There are no solutions since a negative number is involved.

Tags

CCSS.6.EE.B.5

Solve 4(5 −8w) = −32w − 26. What is true about its solution?

• There is no solution.

• All Real numbers are solutions.

• The solution is -6.

• The solution is 46.

Tags

CCSS.8.EE.C.7A

Solve 6(1 − 4r) + 3r = −3(3r − 2) − 6r. What is its solution?

• 0

• no solution

• all Real numbers

• 8

Tags

CCSS.8.EE.C.7A