Unit 4 - Final Assessment | M8H

by Sarah Allen

| 24 QuestionsNote from the author:

Illustrative Math Grade 8 Unit 4 Final Assessment

1

5 pts

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

Just write the number.

2

5 pts

Solve for y: 3y−4=6−2y

Just write the number.

3

5 pts

Solve for y: 12(5+2y)=4y−(6−9y)

Just write the number.

4

5 pts

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

3(n+2)=9(6−n)

Infinitely Many Solutions

One solution

No solution

5

5 pts

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

3(x−5)=2(x−5)+x

One solution

Infinitely Many Solutions

No solution

6

5 pts

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

2x+7−5x+8=3(5+6x)−12x

Infinitely Many Solutions

No solution

One solution

7

5 pts

Solve: 2x+7−5x+8=3(5+6x)−12x

x = 0

There is no solution

x = 3

There are infinitely many solutions

8

5 pts

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?

Yes

No

9

5 pts

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.

10

5 pts

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.

11

5 pts

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 $.

12

5 pts

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

13

5 pts

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?

3 hours

5 hours

7 hours

8 hours

14

5 pts

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?

After 2 hours because the solution to the system is (2, 3)

After 4 hours because the solution to the system is (4, 12)

After 6 hours because the solution to the system is (6, 16)

The tanks will never have the same amount of water.

15

5 pts

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.

16

5 pts

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

3 grams

1.8 grams

1.4 grams

11 grams

17

5 pts

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

A

B

C

18

5 pts

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

A

B

C

19

5 pts

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

A

B

C

20

5 pts

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.

A

B

C

D

E

F

21

5 pts

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!

22

5 pts

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

Elena

23

5 pts

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.

24

5 pts

Match each graph to its equation.

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

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.