Quiz about Model With Equations

Question 1

Target sold 200 bottles of soda and water for a total of $825 in one day. Each soda was $3.00 and water was $1.25. Which system of equations could be used to find the number of bottles of soda (s) and number of bottles of water (w) that was sold?

Accepted Answer

$$s+w=200$$
$$3s+1.25w=825$$

Answer

$$s+w=200$$
$$s+w=825$$

Answer

$$s+w=825$$
$$3s+1.25w=825$$

Answer

$$s+w=200$$
$$1.25s+3w=825$$

Question 2

Look at the graph of the system of equations: -4x+y=3 and x+y=-2. How can you prove that the point of intersection of the lines on the graph is the solution to both equations?

Accepted Answer

Substitute -1 as the x value in each of the equations and solve for y.

Answer

Substitute 6 as the x value in each of the equations and solve for y.

Answer

Substitute 7 as the y value in each of the equations and solve for x.

Answer

Substitute 1 as the y value in each of the equations and solve for x.

Question 3

Ivan wants to hire an organizer for his office. The graph represents the costs for two different organizing services. Which system of equations is represented by the graph?

Accepted Answer

$$3y-75x=45$$
$$2y-30x=70$$

Answer

$$30x-2y=50$$
$$105x-3y=45$$

Answer

$$2y-30x=50$$
$$3y-105x=45$$

Answer

$$75x-3y=45$$
$$30x-2y=70$$

Question 4

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

Accepted Answer

Coinciding Lines

Answer

Parallel Lines

Answer

Intersecting but not coinciding lines

Question 5

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

Accepted Answer

Coinciding Lines

Answer

Parallel Lines

Answer

Intersecting but not coinciding lines

Question 6

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

Accepted Answer

Parallel Lines

Answer

Coinciding Lines

Answer

Intersecting but not coinciding lines

Question 7

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

Accepted Answer

Parallel Lines

Answer

Coinciding Lines

Answer

Intersecting but not coinciding lines

Question 8

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

Accepted Answer

Intersecting but not coinciding lines

Answer

Coinciding Lines

Answer

Parallel Lines

Question 9

How many solutions does the following situation have? Christa earns a salary of $500 each week plus 15% commission. Jasmine earns a salary of $400 plus 10% commission. What would their total sales, s, need to be for both to receive the same total pay, p?

Accepted Answer

One solution

Answer

No solution

Answer

Infinitely many solutions

Question 10

How many solutions does the following situation have? Jodie opens a savings account with $50, and he adds $10 per month. Julie opens a savings account at the same time and at the same rate. She opens the account with $75 and adds $10 per month. After how many months, m, will both accounts have the same balance, b?

Accepted Answer

No solution

Answer

Infinitely many solutions

Answer

One solution

Question 11

Use substitution to find the number of days the Smiths spend in England and Ireland.

Accepted Answer

4 days in England

Accepted Answer

8 days in Ireland

Answer

4 days in Ireland

Answer

8 days in England

Answer

There is not enough information

Question 12

Marge wants to take ballet classes. She has been researching the cost of different studios and has narrowed it down to two. Dance Expressions charges $90 a month and $5 for every class she takes. Panda Studios charges $45 a month and $10 for every class she takes.

Using the equations y=5x+90 and y=10x+45, how many classes would she have to take in order for both studios to cost the same? How much a month would that be?

Accepted Answer

9 classes, $135

Answer

10 classes, $145

Answer

3 classes, $105

Question 13

Which two equations could you use to represent the following situation. The Smith's traveled for 12 days to Ireland and England. They spent $750 per day in Ireland and $825 per day in England. The total cost of the trip was $9,300.

Accepted Answer

$$825e+750i=9300$$

Accepted Answer

Answer

$$e+i=9300$$

Answer

$$725e+825i=9300$$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics