Solving linear equations and inequalities, changing the subject of a formula, forming equations from worded problems, and proving that two expressions are identical.
5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.
“Find the number.” “How old is Mary?” “How many balloons can Lisa buy?” — algebra turns riddles into equations you can solve in three lines.
Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.
Copy these into your notebook in your own words — that is how they stick.
Expand brackets → collect x terms one side, numbers the other → divide by the coefficient of x. Check by substituting.
Multiply every term by the LCD.
Same steps as equations; REVERSE the sign when multiplying or dividing by a negative number.
Open circle for < and >; closed circle for ≤ and ≥; set-builder {x : x > 3}.
Undo operations in reverse; if the subject is in a bracket, expand or divide first.
Define letter → form equation → solve → answer in words → check.
n, n + 1, n + 2 (integers); n, n + 2, n + 4 (even or odd).
True for all values (≡). Prove by expanding one side to match the other.
3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Mathematics Arcade.
8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.
Write full answers, then reveal the mark scheme and tick the points you earned (18 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [9 marks]
Answer all parts.
(a) Solve 4(2x − 1) = 3x + 11. [2]
(b) Solve the inequality 5 − 3p > 2p − 10. [2]
(c) Determine the LARGEST integer value of p that satisfies the inequality in (b). [1]
(d) Given S = ½n(a + l), make l the subject of the formula. [2]
(e) A phone plan costs $30 per month plus $0.20 per minute. For how many minutes of calls is the monthly bill $60? [2]
Question 2 [9 marks]
Mary is 4 years older than twice Tom’s age. The sum of their ages is 31.
(a) If Tom’s age is t, write an equation and solve it to find Tom’s age and Mary’s age. [4]
(b) Prove that (x + 4)² − (x − 4)² ≡ 16x. [3]
(c) Lisa has $56. She buys x red balloons at $0.75 each and y green balloons at $0.50 each, with at least 15 red balloons and no more than 70 balloons in total. Write TWO inequalities in x and y (other than x ≥ 0, y ≥ 0). [2]
Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.