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Solving Systems of Two Linear Equations

Authored by Carissa Leigh Wells

Mathematics

12th Grade

AI covered

Used 5+ times

Solving Systems of Two Linear Equations
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to this system of equations? 2x + y = 40 x - 2y = -20

x = 10, y = 15
x = 12, y = 16
x = 14, y = 18
x = 8, y = 12

Tags

AI.9.5.C

AI.9.2.I

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A mail carrier delivers mail on one of two different routes: a morning route or an afternoon route. Each workday the mail carrier is assigned one of these two routes.

Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times for a total distance of 141 miles.

This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times for a total distance of 123.75 miles.

What is the distance of the morning route in miles?

10.75 miles

8.5 miles

6.75 miles

5.25 miles

Tags

AI.9.2.I

AI.9.5.C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y in the solution to this system of equations? 6y + x = -59 x = -2y + 9

-10
5
0
-17

Tags

AI.9.2.I

AI.9.5.C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A college student completed some courses worth 3 credits and some courses worth 4 credits. the student earned a total of 59 credits after completing 18 courses.

How many courses worth 3 credits did the students complete?

13 courses

15 courses

5 courses

3 courses

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AI.9.2.I

AI.9.5.C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

6.5

-0.5

0.5

-6.5

Tags

AI.9.2.I

AI.9.5.C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount.

The first customer paid $12 for 14 postcards and 5 large envelopes.

The second customer paid $24.80 for 10 postcards and 15 large envelopes.

What was the cost in dollars of each large envelope?

$0.20

$2.50

$1.42

$0.35

Tags

AI.9.2.I

AI.9.5.C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-value of the solution to this system of equations? x = 2y-4 7x + 5y = -66

-2

-6
-8
10

Tags

AI.9.2.I

AI.9.5.C

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