Unit 4 - Final Assessment | M8H

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24 questions
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Illustrative Math Grade 8 Unit 4 Final Assessment
5

What is the weight of a square if a triangle weighs 4 grams?
Just write the number.

5

Solve for y: 3y−4=6−2y
Just write the number.

5

Solve for y: 12(5+2y)=4y−(6−9y)

Just write the number.

5

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

3(n+2)=9(6−n)

5

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

3(x−5)=2(x−5)+x

5

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

2x+7−5x+8=3(5+6x)−12x

5

Solve: 2x+7−5x+8=3(5+6x)−12x

5

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?

5

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.

5

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.

5

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 $.

5

Match the type of variables and constants with the type of solutions to an equation.
Not all items will be used.

  • Same Variable Terms
  • Different Variable Terms
  • Same Constants
  • Different Constants
  • Infinitely Many Solutions
  • No Solution
5

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?

5

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?

5

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.

5

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

5

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

5

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

5

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

5

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.


5

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!

5

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?

5

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.

5

Match each graph to its equation.

  • y = 2x + 3
  • y = -2x + 3
  • y = 2x - 3
  • y = -2x - 3