System of Linear Equations Word Problem Area Perimeter

System of Linear Equations Word Problem Area Perimeter

9th Grade

10 Qs

quiz-placeholder

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System of Linear Equations Word Problem Area Perimeter

System of Linear Equations Word Problem Area Perimeter

Assessment

Quiz

Mathematics

9th Grade

Hard

CCSS
HSA.CED.A.3, 8.EE.C.8C

Standards-aligned

Created by

Barbara White

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The perimeter of a rectangular wooden deck is 90 feet. The deck's length, l, is 5 feet less than 4 times its width, w. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?
2l + 2w = 90
l = 5 - 4w
2l + 2w = 90
l = 4 - 5w
2l + 2w = 90
l = 5w = 4
2l + 2w = 90
l = 4w - 5

Tags

CCSS.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Kalya rides her bicycle at an average speed of 10 miles per hour. One day she rode her bicycle for b hours and walked for w hours, and traveled a total of 24 miles. The entire trip took 4.5 hours. Based on her average speeds for riding and walking, which of these systems of equations could be used to determine b and w?
b + w = 24
10b + 3w = 4.5
b + w = 4.5
10b + 3w = 24
b + w = 24
3b + 10w = 4.5
b + w = 4/5
3b + 10w = 24

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Last week Angela went grocery shopping and bought 3 boxes of Crunchy O's cereal and 2 gallons of milk for at total of $16.65. This week at the same prices, she bought 2 boxes of the same Crunchy O's cereal and 1 gallon of milk for $9.77. Which system of equations can be used to find c, the cost of a box of cereal, and m, the cost of a gallon of milk?
3c + 2m = 16.65
2c + m = 9.77
2c + 3m = 16.65
c + 2m = 9.77
3c + 2m = 9.77
2c + m = 16.65
3c + 2m = 16.65
2c + 2m = 9.77

Tags

CCSS.HSA.CED.A.3

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The Rodriguez family ordered pizzas for a party. A large pizza costs $4.25 more than a medium pizza. They bought 4 large and 6 medium pizzas, and the total cost without tax was $99.50. Which pair of equations can be used to find the cost of a large pizza, L, and the cost of a medium pizza, M?
L = M - 4.25
4L + 6M = 99.50
L = 4.25 + M
6L + 4M = 99.50
L = 4.25 - M
4L + 6M = 99.50
L = 4.25 + M
4L + 6M = 99.50

Tags

CCSS.8.EE.C.8C

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Anna counts her coins and finds that she has 55 coins with a total value of $9.25. If all of the coins are either quarters or dimes, which system of equations can be used to calculate the number of (d) and quarters (q) that Anna has?
0.25q + 0.10d = 9.25
q + d = 55
0.25d + 0.10q = 9.25
q + d = 55
0.25q + 0.10d = 55
q + d = 9.25
0.25q = 0.10d - 55
q + d = 55

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Let x and y be two supplementary angels, where the measure of x is three times the measure of y. Which system of equations below could be used to find the measures of the two angles?
x + y = 180
x = y + 3
x + y = 180
y = x + 3
x + y = 180
y = 3x
x + y = 180
x = 3y

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Alicia mailed postcards (p) and letters (l) to her friends while she was on vacation. She spent a total of $9.00 on postage to mail a total of 40 pieces of mail. She spent $0.35 on each letter and $0.15 on each postcard. Which system of equations could you set up to find out how many postcards and how many letters she mailed?
p + l = 9
0.35p + 0.15l = 40
p + l = 40
0.35p + 0.15l = 9
p + l = 9
0.15p + 0.35l = 40
p + l = 40
0.15p + 0.35l = 9

Tags

CCSS.8.EE.C.8C

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