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Quiz on Solving Equations with Substitutions

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Quiz on Solving Equations with Substitutions
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 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

2.

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.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(3, 4)

(4, 3)

(4, 4)

(3, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(1, 2)

(1, 1)

(2, 1)

(2, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the simultaneous equations

a+b=11

a-b=3

a=7, b = 4

a=-4, b= 7

a=4, b = 7

a=4, b= -7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

1 min • 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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

d + c = 174
4d + 2c = 50

d + c = 50
4d + 2c = 174

d + c = 50
2d + 4c = 174

d + c = 174
2d + 4c = 50

Tags

CCSS.8.EE.C.8C

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