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Solve Systems Using Substitution

Authored by Barbara White

Mathematics

8th Grade

CCSS covered

Solve Systems Using Substitution
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46 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use substitution to solve the system of equations.


5x + y = –24

x + 3y = –2

x = –5

y = –1

x = 5

y = 1

x = –5

y = 1

x = 5

y = –1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use substitution to solve the system of equations. How many solutions are there?


(1/2)x − (1/3)y = 5

x = (2/3)y + 10

There are no solutions.

There is one solution.

There are infinitely many solutions.

It is not possible to determine the number of solutions.

Tags

CCSS.8.EE.C.8B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use substitution to solve the system of equations.


y = 4.5x + 7.5

y = –3.5x – 4.5

x = –1.5, y = –0.75

x = 1.5, y = 0.75

x = –1.5, y = 0.75

x = 1.5, y = –0.75

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using substitution to solve a system of equations, you tell when a system has no solution when the resulting equation is always false as in this example 4=5.

True

False

Both True and False

I don't have a clue.

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1,000 was collected and 150 tickets sold. Use substitution to solve a system of equations to find how many of each kind of ticket were sold?

40 student tickets

110 adult tickets

110 student tickets

40 adult tickets

50 student tickets

100 adult tickets

100 student tickets

50 adult tickets

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve this system of equations
y=8x-5
y=2x+19

(1,3)
(2.4, 23.8)
(2.5,15)
(4,27)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve this system of equations
2x+y=9
y=5x+2

(1,7)
(2,5)
(-1,-3)
(5,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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