IM Unit 2 Mid Assessment Review

IM Unit 2 Mid Assessment Review

by Mrs. Kuziel-Francis

Multiple Select

Select all the equations that are equivalent to  $$\frac{8x-7}{2}=-4$$  

• 4x - 7 = -4

• 0.5(8x-7)= -4

• 4x-3.5 = -4

• 8x-7 = -4

• 8x - 7 = -8

Multiple Select

Select all the equations that have the same solution as  $$\frac{6x+5}{2}=7-\left(2x-6\right)$$  

• $$3x+\frac{5}{2}=7-\left(2x-6\right)$$  

• $$\frac{6x+5}{2}=2x+1$$  

• $$\frac{6x}{2}+\frac{5}{2}=-2x+13$$  

• 3x + 2.5 = -2x - 1

Open Ended

A chef bought $15.25 worth of ribs and chicken. Ribs cost $1.79 per pound and chicken costs $0.95 per pound. The equation 0.95c + 1.79r = 15.25 represents the relationship between the quantities in this situation. Solve the equation for c.

Multiple Select

Volunteer drivers are needed to bring 80 students to the championship baseball game.  Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students.  The equation 4c + 6v = 80 describes the relationship between the number of cars and vans that can transport exactly 80 students. Use the graph to select all true statements.

• If no vans were needed, 13 cars would be needed.

• If no cars were needed, 13 vans would be needed.

• If no vans were needed, 20 cars would be needed.

• If 14 cars are needed, that means that 4 vans will be needed.

• If 2 vans are needed, then 12 cars will be needed.

Open Ended

T-shirts cost $15. Each letter of personalization costs $1.25, and each number costs $2.50. If we were to write an equation that represents this situation, what would those variables be and what would they represent? (in other words, DEFINE your variables)

Open Ended

T-shirts cost $15. Each letter of personalization costs $1.25, and each number costs $2.50. Write an equation that represents the total cost of a t-shirt.

Fill in the Blank

Solve the system of equations.  $$3y=2x+12$$  

                                                         $$3x\ +\ 3y\ =\ 12$$  

Fill in the Blank

The system of equation below has 1 solution. Find the solution.

4x + 2y = 8

3x + y = 6

Open Ended

The system of equations 4x + 2y = 8 has exactly one (x, y) pair for its solution.

      3x + y = 6                                   

If we add the equations together, we get 7x + 3y = 8.  Does this change the solution to the system? Why/Why not?

Open Ended

The system of equations 4x + 2y = 8 has exactly one (x, y) pair for its solution.

      3x + y = 6                                   

If we multiply the 2nd equation by -2, we get -6x - 2y = -12.  Does this change the solution to the system? Why/Why not?