Solve Basic Equations

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

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

In mathematics, what does it mean to "solve" an equation? Choose all that apply.

• Find its solution(s).

• Determine the value(s) for its pronumeral so as to fulfill the stated condition.

• Verify your answer.

• Find the value(s) of its variable such that the equation is a true statement.

• 1.5

• 6

• -6

• -1.5

Solve -4 = 5x + 6

Mathematical Equivalence

ON

Solve for x

• 35

• 3.5

• 0.35

• -35

A student sample of solving an equation is shown. Which of the following is true in regard to the results?

• All steps are correct since the correct solution is 2.5.

• The steps and the solution are correct, but a few minor details are missing.

• The first step is fine, but the subsequent steps led to the incorrect solution.

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

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

• -10.5

• -4.5

• 0.9

• 2.1

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.