AnswersMathematics 8Problem Solving with Systems

Problem Solving with Systems — Quiz Answers

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One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for 42 point 5 0 dollars The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for 34 point 5 0 dollars Let p represent the cost of one container of popcorn. Let g represent the cost of one granola bar. Which system of equations will solve for p and g ?

A
5 p plus 4 g is equal to 34 point 5 0 3 p plus 6 g is equal to 42 point 5 0
B
4 p plus 5 g is equal to 42 point 5 0 6 p plus 3 g is equal to 34 point 5 0
C
5 p plus 4 g is equal to 42 point 5 0 3 p plus 6 g is equal to 34 point 5 0
D
4 p plus 5 g is equal to 34 point 5 0 3 p plus 6 g is equal to 42 point 5 0
3

Which is the best first step when solving the following system of equations? y is equal to 7 x plus 3 y is equal to 9 x

A
Substitute 7 x for y in the second equation.
B
Substitute 9 x for y in the first equation.
C
Multiply the first equation by negative 7 .
D
Multiply the second equation by negative 3 .
5

A discount book store sells hardcover books for $⁢8 each and paperbacks for $⁢4 each.The number of hardcover books, h, sold one day was 2 more than four times the number of paperback books, p, sold that same day. The total amount of sales for that day was $⁢160. Jean-Paul wrote the following system of linear equations to find the number of each type of book sold. 8 h plus 4 p is equal to 160 p is equal to 4 h plus 2 What is Jean-Paul’s error?

A
Jean-Paul should have written the second equation as p plus 2 is equal to 4 h .
B
Jean-Paul should have written the first equation as 4 h plus 8 p is equal to 160 .
C
Jean-Paul should have written the first equation as h plus p is equal to 160 .
D
Jean-Paul should have written the second equation as h is equal to 4 p plus 2 .
6

Which is the best first step when solving the following system of equations? x plus y is equal to 3 4 x minus y is equal to 7

A
Multiply the second equation by negative 1 .
B
Multiply the first equation by 4 .
C
Add the first equation to the second equation.
D
Subtract the second equation from the first equation.
7

At a farmer’s market, Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for 28 dollars Genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for 28 point 5 0 dollars Let t represent the cost of one pound of tomatoes. Let b represent the cost of one pound of broccoli. Which system of equations will solve for t and b ?

A
5 t plus 7 b is equal to 28 point 5 0 4 t plus 2 b is equal to 28 point 0 0
B
4 t plus 7 b is equal to 28 point 5 0 5 t plus 2 b is equal to 28 point 0 0
C
5 t plus 4 b is equal to 28 point 5 0 7 t plus 2 b is equal to 28 point 0 0
D
4 t plus 7 b is equal to 28 point 0 0 5 t plus 2 b is equal to 28 point 5 0
9

The town glee club sold tickets for the summer concert. The club charged 8 dollars for a child ticket and 18 dollars for an adult ticket. A total of 8 dollars comma 400 in ticket sales was raised. The number of adult tickets, A , is 50 more than twice the number of child tickets, c Which system of equations will solve for the number of each type of ticket?

A
8 A plus 18 c is equal to 8 comma 400 A is equal to 2 c minus 50
B
18 A plus 8 c is equal to 8 comma 400 c is equal to 2 A plus 50
C
8 c plus 18 A is equal to 8 comma 400 A is equal to 2 c plus 50
D
8 A minus 18 c is equal to 8 comma 400 A is equal to 2 c minus 50

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