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Systems of Equations and Inequalities

Authored by Tracey Cox

8th - 9th Grade

34 Questions

CCSS covered

Used 56+ times

Systems of Equations and Inequalities
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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the solution to the system?

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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system by substitution.  

5x + 4y= −14

y +15 =  −7x  

(-2, -1)
(1, -2)
(-2, 1)
(-1, -2)

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

(0,3)
(3,0)
No solution(parallel lines)
Infinitely many solutions

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

T + F = 1430
20T + 50F = 49
T+ F = 49
10T + 5F = 1430 
T + F = 49
20T + 50F  = 1430
T + F = 49
T + F = 1430

Tags

CCSS.8.EE.C.8C

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 

10c + 5d = 14.25
5c + 10d = 16.50
10c + 5d = 16.50
5c + 10d = 14.25
c + d = 10
5c + 10d = 16.50
c + d = 5
5c + 10d = 16.50

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Your family goes to a restaurant for dinner. There are people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

x + y = 6
14.80x + 17y = 91
x + y = 91
14.80x + 17y = 6
x + y = 6
14.80y + 17x = 91
x + y = 91
14.80x+ 17y = 6

Tags

CCSS.HSA.CED.A.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which of the following is not a solution to this system of inequalities?

(0,-1)
(0,3)
(4,0)
(6,-2)

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