Back to Solve real-world and mathematical problems leading to two linear equations in two variables — Problem 5 · Task Set 13

Exercises: Solving Real-World and Mathematical Problems with Systems of Linear Equations

Work through each section in order. For word problems, define your variables, write two equations, solve, and interpret your answer in a full sentence. Show your work where indicated.

Grade 8·22 problems·~30 min·Common Core Math - Grade 8·standard·8-ee-c-8c

Work through problems with immediate feedback

Fluency Practice

Line $1$ passes through $(0, 1)$ and $(2, 5)$ . Line $2$ passes through $(1, 0)$ and $(3, 4)$ . Do these two lines intersect?

No — both lines have slope $2$ but different $y$ -intercepts, so they are parallel.

Yes — they intersect at exactly one point.

Yes — they are the same line, so they meet everywhere.

No — the lines have different slopes, so they cannot meet.