Ages 13–14🧮 Mathematics13 verified questions on this shelf

Simultaneous Equations

Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations

Try three questions

Tap an answer to check it. Every question and explanation was checked by independent verifiers that must agree.

Question 1 of 3

On a coordinate grid the line showing Alex’s bike distance passes through (0, 3) and (4, 11). The line showing Sam’s bike distance passes through (0, 15) and (5, 5). Looking at the graph, which point is the approximate intersection of the two lines?

Question 2 of 3

Which ordered pair (x, y) satisfies both equations: x + y = 5 and x - y = 1?

Question 3 of 3

Two lines are drawn on a coordinate grid with the equations y=4x2y = 4x - 2 and y=2x+10y = -2x + 10. Which point lies on both lines?

Keep going on this shelf

A free account keeps practising Simultaneous Equations with 13 verified questions, tracks the Skill as it blooms, and connects a real teacher when you want one. Every student account needs a parent's email first.

Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.