Read System Solutions From Graphs

Start with Is the Ordered Pair a Solution of the System so students know what a solution is, then graph slope-intercept pairs before standard form. Use the puzzles for review.

Read the crossing point of six graphed systems such as y = x + 2 and check it in both equations. The directions on the page read: Read where the lines cross. Check that point in both equations. An answer key is included.

Yes, both. We made it for 8th grade systems of equations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

It is the one ordered pair that makes both equations true at the same time, so it is the solution of the system. Students check it by substituting it into both equations on several of these sheets.

Rewrite each equation as y = mx + b, then plot the y-intercept and use the slope to find more points. Graph Systems Given in Standard Form gives space for the rewriting before graphing.

Some lines cross between grid points, so a graph only gives an estimate. Estimate Graph Solutions, Then Solve Exactly asks students to estimate to the nearest whole number first, then solve with algebra for the exact pair.