M.1HS8.34.c
Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Example Problems
Candace purchased 2 notebooks and 3 pencils for a total of $9.
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
Erin bought 3 notebooks and 5 packs of pencils for a total of $15.
A month later, she bought 4 notebooks and 4 packs of pencils at the same prices, for a total of $14.
How much does a pack of pencils cost?
A month later, she bought 4 notebooks and 4 packs of pencils at the same prices, for a total of $14.
How much does a pack of pencils cost?
Natalie purchased 4 notebooks and 7 pens for a total of $22.
Another time, she purchased 5 notebooks and 5 pens (at the same prices) for a total of $20.
How much does one notebook cost?
Another time, she purchased 5 notebooks and 5 pens (at the same prices) for a total of $20.
How much does one notebook cost?
Khan Academy ResourcesAge word problemsSystems of equations word problemsAge word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranSystems of equations with graphing: choresSystems of equations with substitution: coinsSystem of equations word problem: infinite solutionsSystem of equations word problem: no solutionSystem of equations word problem: walk & ride
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