Lessons · Quantitative Reasoning
CLT Quantitative Reasoning · Lesson
Linear equations
Solve for the unknown by doing the same thing to both sides until it stands alone. Some questions ask for an expression, such as 2x + 1, rather than x itself.
- Clear parentheses and fractions first (multiply every term by the denominator).
- Collect the variable on one side and the numbers on the other.
- Divide by the coefficient. Then reread what the question asks for.
- Stuck, or short of time? Plug in the choices. The CLT has no calculator, so start with a middle choice: put it into the equation and see if both sides match.
Q. If 3(x − 4) + 5 = 2x + 9, what is x?
Answer 16
3x − 12 + 5 = 2x + 9, so 3x − 7 = 2x + 9, so x = 16. Check: 3(12) + 5 = 41 and 2(16) + 9 = 41.
- Answering x when the question asked for 2x or x + 3. Circle what is asked before you start.
- Distributing a minus sign to only the first term: −(x − 4) is −x + 4.
Every practice question comes with a full explanation, including why each wrong choice is wrong. Free, with no account.