Equations & Inequalities: First Degree (One Variable)

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Practice solving first degree problems

Mahmoud Mohamed

Egypt

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Equations & Inequalities: First Degree (One Variable)


Equations & Inequalities: First Degree (One Variable)Version en ligne Practice solving first degree problems par Mahmoud Mohamed 1 1) Solve for x: 3x + 2 = 8 a x = 3 b x = 4 c x = 2 d x = -2 2 2) Solve for x: 4x - 5 = 3 a x = -1 b x = 2/4 = 0.5 c x = 1 d x = 2.5 3 3) Solve for x: 2x + 6 = 3x + 1 a x = 1 b x = 5 c x = 3 d x = -1 4 4) If a = b, then which is true? a a - c = b - c b a / c = b / c (c ≠ 0) c a + c = b + c d a × c = b × c 5 5) Solve for x: 5x - 8 = x + 6 a x = 14/4 = 3.5 b x = 1 c x = 2 d x = -2 6 6) Solve for x: 3( x - 2 ) = 9 a x = 4 b x = 5 c x = 3 d x = 6 7 7) Which represents a compound inequality? a a ≤ b < x b a > x > b c x < a < b d a < x < b 8 8) Solve for x: -2x + 5 ≤ 9 a x > 9/2 b x ≥ -2 c x ≥ 9 d x ≤ -2 9 9) Find solution set: 2x - 4 ≤ 2 a x ≤ 3 b x ≥ 3 c x ≤ -1 d x ≥ -1 10 10) Solve: 7 - x = 2x + 1 a x = 2 b x = 7 c x = -1 d x = 4 Feedback 1 Subtract 2, then divide by 3. 2 Add 5 to both sides, then divide by 4. 3 Bring 2x to RHS or x to LHS and solve. 4 Equality preserves addition: add same c to both sides. 5 Subtract x from both sides, then add 8. 6 Distribute: 3x - 6 = 9, then 3x = 15. 7 Two inequalities joined: a < x and x < b. 8 Subtract 5, divide by -2 (flip inequality). 9 Add 4 both sides, then divide by 2. 10 Move terms: 7 - x = 2x + 1 → 6 = 3x → x = 2.