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Substitution Equation Two Variables

Authored by Barbara White

Mathematics

6th - 9th Grade

15 Questions

CCSS covered

Substitution Equation Two Variables
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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

(-4, -2)

(12, -34)

(4, -18)

(-2, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the simultaneous equations by substitution

x+y=5

x-y=1

x=2, y=3

x=3, y=2

x=3, y=-2

x=-3, y=2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system by substitution:

y = x + 5
4x + y = 20

(3,8)
(8,3)
(0,2)
(2,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using the simultaneous equations 7x+7y=-28 and -4 - 0.875x = 1y, find the solution, giving your answer as a coordinate pair

(1, -4)
(0, -4)
(0, -3)
(-4, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using the simultaneous equations 2x+10y=60 and -45 + 30y = 21x, find the solution, giving your answer as a coordinate pair

(6, 5)
(5, 5)
(5, 6)
(5, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a system by Substitution?

Make sure both equations are in standard form.
Make sure at least one equation is solved for one variable.
Make sure both equations are in slope-intercept form.
Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which system represents this situation?

x+y=134
x+y=120
3x+3y=134
4x+3y=120
4x+3y=134
3x+3y=120
7xy=134
6xy=120

Tags

CCSS.8.EE.C.8C

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