Linear Equations - Find Intersection (Decimal) - Two Linear Equations

Level 1

This math topic focuses on finding the intersection points of two linear equations, with the solutions represented in decimals. Each problem provides two linear equations and multiple-choice answers for the coordinates of their intersection point. The skill practiced involves solving systems of linear equations to find the precise point where the two lines intersect. This forms a part of a broader introduction to linear equation intersections.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Linear Equations - Find Intersection (Decimal) - Two Linear Equations

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the intersection point of these two lines

y=8x+1y=5x6y = 8x + 1\\y = 5x - 6

Linear Equations - Find Intersection (Decimal) - Two Linear Equations Worksheet

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Math worksheet on 'Linear Equations - Find Intersection (Decimal) - Two Linear Equations (Level 1)'. Part of a broader unit on 'Linear Equation Intersections - Intro' Learn online: app.mobius.academy/math/units/line_equations_and_intersections_intro/
1
Find the intersection point of these two lines
A LaTex expression showing y = 1x - 4\\y = -3x + 8
a A LaTex expression showing (2,2)
b A LaTex expression showing (3,-1)
c A LaTex expression showing (-2,2)
d A LaTex expression showing (6,2)
e A LaTex expression showing (0,-3)
f A LaTex expression showing (-1,2)
2
Find the intersection point of these two lines
A LaTex expression showing y = 7x + 7\\y = 0x + 8
a A LaTex expression showing (0.14,8)
b A LaTex expression showing (-3.86,7)
c A LaTex expression showing (-0.86,6)
d A LaTex expression showing (-2.86,4)
e A LaTex expression showing (3.14,4)
f A LaTex expression showing (-4.86,6)
3
Find the intersection point of these two lines
A LaTex expression showing y = 1x - 2\\y = -3x - 1
a A LaTex expression showing (0.25,-1.75)
b A LaTex expression showing (3.25,-2.75)
c A LaTex expression showing (-2.75,1.25)
d A LaTex expression showing (-2.75,-3.75)
e A LaTex expression showing (-4.75,2.25)
f A LaTex expression showing (2.25,-5.75)
4
Find the intersection point of these two lines
A LaTex expression showing y = 1x + 6\\y = 8x + 4
a A LaTex expression showing (-3.71,4.29)
b A LaTex expression showing (-3.71,3.29)
c A LaTex expression showing (4.29,2.29)
d A LaTex expression showing (0.29,6.29)
e A LaTex expression showing (-0.71,1.29)
f A LaTex expression showing (0.29,5.29)
5
Find the intersection point of these two lines
A LaTex expression showing y = 1x + 4\\y = -2x + 3
a A LaTex expression showing (2.67,2.67)
b A LaTex expression showing (-5.33,-0.33)
c A LaTex expression showing (-0.33,3.67)
d A LaTex expression showing (-4.33,-0.33)
e A LaTex expression showing (-1.33,6.67)
f A LaTex expression showing (-5.33,1.67)
6
Find the intersection point of these two lines
A LaTex expression showing y = 6x + 5\\y = 4x + 8
a A LaTex expression showing (4.5,13)
b A LaTex expression showing (-2.5,17)
c A LaTex expression showing (-2.5,11)
d A LaTex expression showing (1.5,14)
e A LaTex expression showing (4.5,15)
f A LaTex expression showing (-2.5,15)
7
Find the intersection point of these two lines
A LaTex expression showing y = 7x + 3\\y = 4x - 5
a A LaTex expression showing (-6.67,-15.67)
b A LaTex expression showing (-0.67,-20.67)
c A LaTex expression showing (-0.67,-14.67)
d A LaTex expression showing (-4.67,-17.67)
e A LaTex expression showing (-2.67,-15.67)
f A LaTex expression showing (-0.67,-11.67)