Unit 4 - Final Assessment | M8H

What is the weight of a square if a triangle weighs 4 grams?

Just write the number.

Solve for y: 3y−4=6−2y

Just write the number.

Solve for y: 12(5+2y)=4y−(6−9y)

Just write the number.

Will this equation have one solution, no solution, or infinitely many solutions?

3(n+2)=9(6−n)

Will this equation have one solution, no solution, or infinitely many solutions?

3(x−5)=2(x−5)+x

Will this equation have one solution, no solution, or infinitely many solutions?

2x+7−5x+8=3(5+6x)−12x

Solve: 2x+7−5x+8=3(5+6x)−12x

The points (-4,0) and (0,-8) are each on the graph of a linear equation. Is (2,4) also on the graph of this linear equation?

Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?

Just write the number.

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class. Is there a week when they have the same amount of money? If so, what week?

Just write the number.

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class. Is there a week when they have the same amount of money? If so, how much money will they have?

Just write the number. No $.

Match the type of variables and constants with the type of solutions to an equation.

Not all items will be used.

Solve It! The taller candle burns at a rate of 1.15 in. per hour. The shorter candle burns at a rate of 0.75 in. per hour. After how many hours will they be the same height?

The zoo has two water tanks that are leaking. One tank contains 10 gallons of water and is leaking at a constant rate of 2 gallons per hour. The second tank contains 6 gallons of water and is leaking at a constant rate of 4 gallons per hour. When will the tanks have the same amount of water?

Printing a newsletter costs $1.50 per copy plus $450 in printer's fees. The copies are sold for $3 each. How many copies of the newsletter must be sold to break even?

Just write the number of copies.

A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle?

Which of these systems would have no solution? (There could be more than one answer.)

Which of these systems would intersect at the same y-intercept? (There could be more than one answer.)

Which of these systems would intersect at one point? (There could be more than one answer.)

Here is the graph for one of the equations in a system of equations.

The solution to the system is "No Solution".

Select all equations that could be the other equation in the system.

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

Create a graph that shows this scenario. Make sure I can see your intersection point!

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

After four weeks, who has more money in their savings account?

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

Just write the number.

Match each graph to its equation.