system of equations word problems

system of equations word problems

10th Grade

5 Qs

quiz-placeholder

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system of equations word problems

system of equations word problems

Assessment

Quiz

Mathematics

10th Grade

Easy

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

Standards-aligned

Created by

Anonymous Anonymous

Used 3+ times

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

x + y = 1550
y  = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

x - y = -10
x + y = -2
x = -2 
y = 5
x + y = -2
x - y = -10
x + y = -10
x - y = -2

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

t + n = 54
t = 3n + 8
t + n = 54
n = 3t + 8
t + n = 54
t = 3n - 8
t + n = 8
t = 3n + 54

Tags

CCSS.HSA.CED.A.3

4.

MULTIPLE CHOICE QUESTION

15 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

Tags

CCSS.8.EE.C.8C

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

t + n = 54

t = 3n + 8

t + n = 54

n = 3t + 8

t + n = 54

t = 3n - 8

Tags

CCSS.HSA.CED.A.3