Solve Systems by Substitution Word Problems

Solve Systems by Substitution Word Problems

9th Grade

20 Qs

quiz-placeholder

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Solve Systems by Substitution Word Problems

Solve Systems by Substitution Word Problems

Assessment

Quiz

Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. 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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

4x + 7y = 578
x + y = 3365

4x + 7y = 3365
x + y = 578

4y + 7x = 578
x + y = 3365

4y + 7x = 3365
x + y = 578

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

(10, 11)

(12, 9)

(11, 10)

(9, 12)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(4,1)

No solution

Infinitely many solutions

(5,-2)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38
2s + 3c = 52

3s + 1c = 38
3s + 2c = 52

s + c = 38
s + c = 52

3s + 3c = 38
1s + 2c = 52

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

d + n = 6.60
.10d + .05n = 80

d + n = 80
d + n = 6.60

d + n = 80
.10d + .05n = 6.60

d + n = 80
.05d + .10n = 6.60

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