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Writing Systems of Equations and Inequalities

Authored by Anonymous Anonymous

Mathematics

8th - 10th Grade

CCSS covered

Used 244+ times

Writing Systems of Equations and Inequalities
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The owner of Mark's Meat Market orders beef and chicken. He wants to but at least 50 pounds of meat but cannot spend more than $300. Beef is $3 a pound and chicken is $2 a pound.
Which system of inequalities models this situation?

x + y \le 50
2x + 3y >> 300

x + y \ge 50
3x + 2y \le 300

x + y << 300
2x + 50 \ge 300

x - y 300\le300
3x + 2y \le 50

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A radio station is giving away tickets to a concert. There are $10 tickets and $20 tickets. They want to give away at least 20 tickets but want to spend at most $280.

Let x = the number of $10 tickets

Let y = the number of $20 tickets

Which system of inequalities models the situation?

x + y \ge 20
10x + 20y \le 280

x - y \ge 20
20x + 10y \le 280

x + y \ge 280
10x + 20y \le 20

x + y << 20
10x + 20y >> 280

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. What are the two unknowns in this problem?

the number of pair of jeans and shirts
the price of a shirt and a pair of jeans
the total price Sam and Joe paid
the total number of shirts and jeans that Sam and Joe brought

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

You are hosting family and friends for dinner. There will be at least 8 people attending. You will prepare some vegetarian dinner that cost $5 and a meat-based dinner that costs $6. You hope to spend no more than $70.

Let x = number of vegetarian dinners

Let y = number of meat-based dinners

Which system that could represent this situation?

x + y \le 70
5x + 6y \le 70

5x + 6y \le 10
x + y \ge 70

x - y \ge 7
x + y \le 6

x + y \ge 8
5x + 6y \le 70

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?

n+d=17
.05n+.10d=1.35
.05n+.10d=17
n+d=1.35
.25n+.10d=1.35
n+d=17

Tags

CCSS.HSA.CED.A.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 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 color 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 color 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

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

1.5x+0.5y=78.5
x+y=87
1.5x+0.5y=78.5
1.5x+0.5y=87
x+y=78.5
1.5x+0.5y=87
x+y=78.5
x+y=87

Tags

CCSS.HSA.CED.A.3

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