Unit 5 Review (Algebra 2)

Unit 5 Review (Systems)

Algebra 2

​Sections in Unit 5

• 5.1 Solving Linear Systems via Graphing

• 5.2 Solving Non-linear Systems via Graphing

• 5.3 Solving Linear Systems of Inequalities

• 5.4 Solving Linear Systems via Substitution

• 5.5 Solving Linear Systems via Elimination

• 5.6 Solving 3x3 Linear Systems (Part 1)

• 5.7 Solving 3x3 Linear Systems (Part 2)

• 5.8 Systems Application Problems

Fill in the Blank

How many solutions exist for the graphed system?

Type your numerical answer into the box.

Multiple Choice

Which system of equations is displayed in the graph?

• $$y=\left(x+1\right)^2-3$$

  $$y=-\ \sqrt[]{x-1}-1$$

• $$y=\left|x+1\right|-3$$

  $$y=-\ \sqrt[]{x+1}-1$$

• $$y=\left|x-1\right|-3$$

  $$y=-\ \sqrt[]{x+1}-1$$

• $$y=-\left(x-1\right)^2-3$$ $$y=\sqrt[]{x+1}-1$$

Fill in the Blank

What is the solution to the system of equations shown?

Type your answer as an ordered pair. Example: (5,-1)

Multiple Choice

Which system of inequalities matches the given graph?

• $$y>-x+3$$

  $$y\le\frac{2}{3}x-1$$

• $$y\le-x-3$$

  $$y>\frac{2}{3}x+1$$

• $$y<-x+3$$

  $$y\le\frac{2}{3}x-1$$

• $$y\le-x+3$$

  $$y>\frac{2}{3}x-1$$

Multiple Select

Select ANY coordinates that ARE solutions to the graph of the system of inequalities.

• (0, -1)

• (5, 0)

• (-5, 0)

• (-1, 2)

Multiple Choice

The Chess Club is selling brownies and lemon bars to raise money to travel out of state. They only have enough baking materials for no more than 200 brownies and lemon bars total, however, they need to make at least 630 dollars. If they sell each brownie for $4 and each lemon bar for $2.50, which system matches this scenario?

• $$b+l\le200$$

  $$4b+2.5l\ge630$$

• $$b+l>200$$

  $$4b+2.5l>630$$

• $$b+l\ge200$$

  $$4b+2.5l\le630$$

• $$b+l\le200$$

  $$4b+2.5l\le630$$

Multiple Choice

Which equation could pair with $$2y-x=7$$ to create a system with no solution?

• $$y=-\frac{1}{2}x+4$$

• $$y=\frac{1}{2}x+3$$

• $$y=2x-3$$

• $$y=\frac{2}{7}x+1$$

Fill in the Blank

Solve the following system:

$$−x+4y=25$$

$$-2x-2y=-10$$

Write your answer as an ordered pair: (x,y).

If no solution exists, write "ns".

If there are infinitely many, write "ims".

Fill in the Blank

Solve the following system:

$$-3x+2y=1$$

$$6y=9x+3$$

Write your answer as an ordered pair: (x,y).

If no solution exists, write "ns".

If there are infinitely many, write "ims".

Fill in the Blank

Solve the following system:

$$f\left(x\right)=-x^2+6$$

$$g\left(x\right)=-2x-2$$

One of the solutions is (-2, 2). What is the other solution? Type your answer as an ordered pair: (x,y).

Fill in the Blank

Solve the system of equations for all 3 variables:

$$6x+8y-3z=-10$$

$$2x+8y-5z=2$$

$$-5x-8y+4z=7$$

Type your answer as an ordered triple: (x,y,z).

Fill in the Blank

Solve the system of equations for all 3 variables:

$$3x+4y+4z=-8$$

$$5x+3y-2z=2$$

$$x+3y+4z=-2$$

Type your answer as an ordered triple: (x,y,z).

​That's it!

• You can use this Quizizz in coordination with your review packet for studying!

• The test questions are of similar difficulty, but this isn't everything.

• If something went poorly during the game, then do something about it!