ClassMetric

Solving equations and inequalities

Practice finding unknown values, working with inequalities, and turning word problems into equations.

Union Aptitude PrepSolving linear equations
Finding an unknown
  1. A variable represents the unknown
  2. Find a value for the variable
  3. Check it in the original equation
  1. 3x + 6 = 18
  2. 3x = 12
  3. x = 4
  4. Check: 3(4) + 6 = 18
  5. T = a + b
  6. a = T − b
The unknownYou need to find a quantity you do not know yet.Your targetYou see 3x + 6 = 18 in a practice problem. Your target is x by itself on one side of the equals sign.

Lessons in this chapter

3 lessons, about 5 minutes each

  1. How to solve linear equations
  2. Solving inequalities
  3. Algebra word problems

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Sample questions

From the class’s practice bank. Pick an answer, then check it.

Question 1

3(3 + 2)² − 16 = ?

  1. 23
  2. 209
  3. 14
  4. 59
Show the answer

D. 59. Parentheses: 3 + 2 = 5. Exponent: 5² = 25. Multiply: 3 × 25 = 75. Subtract: 75 − 16 = 59. 209 is the trap: it multiplies first.

Question 2

2 + 3 × 7 − 9 ÷ 3 = ?

  1. 20
  2. 14
  3. 23
  4. 32
Show the answer

A. 20. Multiply and divide first: 3 × 7 = 21, 9 ÷ 3 = 3. Then 2 + 21 − 3 = 20. Working strictly left to right gives 23.

Question 3

13 + 8 × 5 − 6 ÷ 2 = ?

  1. 47
  2. 96
  3. 102
  4. 50
Show the answer

D. 50. Multiply and divide first: 8 × 5 = 40, 6 ÷ 2 = 3. Then 13 + 40 − 3 = 50. Working strictly left to right gives 96.

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