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

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

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

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

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

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

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

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

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