23-24 Day 5 EOC Review - System of Equations

Day 5 EOC Review:

Systems of Equations

​Solve by Substitution, Elimination, or Graphing.

Use Desmos to graph each equation on the same graph.

(may need to get y by itself)

Solution is the point of intersection. Parallel Lines = No Solution. Identical Lines = Infinite Solutions.

Multiple Choice

Which system of equations is best represented by the graph?

Multiple Choice

Which system of equations does the graph represent?

Multiple Choice

Which system of equations is best represented by this graph?

Dropdown

What is the value of x in the solution to this system of equations?

$$x=$$ ​

Select answer

Drag and Drop

What is the x-value of the solution to this system of equations?

$$x=$$ ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

Drag and Drop

What is the value of x in the solution to this system of equations?

$$x=$$ ​

Placeholder

Drag these tiles and drop them in the correct blank above

3

Drag and Drop

What is the solution to this system of equations?

(​

Placeholder

, ​

Placeholder

)

Drag these tiles and drop them in the correct blank above

Dropdown

What is the solution to this system of equations?

(​

Select answer

, ​

Select answer

)

Fill in the Blanks

Multiple Choice

Which system of equations is represented by lines q and v?

Multiple Choice

Which system of equations represents lines f and g?

Multiple Choice

A system of linear equations is represented by line h and line j. A table representing some points on line h and the graph of line j are shown.

Which system of equations is best represented by lines h and j?

Multiple Choice

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price for each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

Multiple Choice

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

Dropdown

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses.



How many courses worth 3 credits did the student complete?



The student completed ​ ​ ​

Select answer

courses that were worth 3 credits each.

Fill in the Blanks

Fill in the Blanks

Dropdown

A mail carrier delivers mail on one of two different routes: a morning route or an afternoon route. Each workday the mail carrier is assigned one of these two routes.



*Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times, for a total distance traveled of 141 miles.

*This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times, for a total distance traveled of 123.75 miles.



What is the distance of the morning route in miles?



The morning route is a distance of ​ ​ ​

Select answer

miles.

​Desmos can be used to Solve Equations with Variables on both Sides.

Math Response

What is the solution to $$4\left(q+56.5\right)=30q-112$$ ?

$$q=?$$

Type answer here

Correct Answer: 13

Deg^°

Rad

Math Response

What is the solution to this equation?

$$2\left(40+5y\right)=10y+5\left(1-y\right)$$

$$y=?$$

Type answer here

Correct Answer: 5

Deg^°

Rad

Multiple Choice

What value of x makes the equation $$-5x-\left(-7-4x\right)=-2\left(3x-4\right)$$ true?

• $$x=3$$

• $$x=5$$

• $$x=\frac{1}{3}$$

• $$x=\frac{1}{5}$$

Multiple Choice

What value of x makes the equation $$0.75\left(x+20\right)=2+0.5\left(x-2\right)$$ true?

• $$64$$

• $$-64$$

• $$-56$$

• $$56$$