Unit 4 - Final Assessment | M8H
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by Sarah Allen
| 24 Questions
Note 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