Unit 4 Mid-Unit Assessment - Honors
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by Sarah Allen
| 20 Questions
Note from the author:
Open Up Resources Illustrative Math Unit 4 Mid-Unit Assessment
1
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?









2
5 pts
Solve this equation:

3
5 pts
What type of solution does this equation have?

3x + 8 = 3x + 2 - 10
infinitely many solutions
one solution
no solution
4
5 pts
Does this equation have a solution that is positive, negative, or zero?

3x + 2 = -5
positive solution
negative solution
zero

5
5 pts
Order these steps to solving this equation:

x - 4(x - 1) = x + 2x + 3
  1. -3x + 9 = 3x + 3
  2. 6 = 6x
  3. 9 = 6x + 3
  4. 6x - 9(x-1) = x + 2x + 3 (original equation)
  5. x = 16
  6. 6x - 9x + 9 = x + 2x + 3
6
5 pts
Did Ms. Allen solve this equation correctly?

8(x - 3) + 7 = 2x(4 -17)
8(x - 3) + 7 = 2x(13)
8x - 24 + 7 = 26x
8x - 17 = 26x
-17 = 34x
-0.5 = x
No, Ms. Allen did not subtract correctly.
Yes, Ms. Allen solved the equation correctly.
No, Ms. Allen did not distribute correctly.
No, Ms. Allen did not divide correctly.
7
5 pts
Match the equation balancing steps with the description of what was done in each step.
  • 12x - 6 = 10
    6x - 3 = 5
  • 6x - 3 = 5
    6x = 8
  • 6x = 8
    x = 8/6
  • 4x + 2 = 12
    2x + 1 = 6
  • Add 3 to both sides
  • Divide both sides by 2
  • Multiply both sides by 1/6
8
5 pts
Which of the following would keep the hanger balanced?


Take away 2 rectangles and 2 circles from both sides
Take away 2 triangles from the right and add them to the left.
Take away 4 squares from the left and 4 triangles from the right
Add 3 circles to the left and add 4 triangles to the right
9
5 pts
Which equation could describe this hanger?

2x + 4y = 2y + 4z + 2x
x + 2y = y + 2z + x
4y = 2y + 4z
10
5 pts
Clare asks Andre to play the following number puzzle:
  • Pick a number
  • Add 2
  • Multiply by 3
  • Subtract 7
  • Add your original number
Andre’s final result is 27. What number did he start with?
11
5 pts
Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger.

4x+5+6=2x+2.5+6
2x=0.5
4x+2.5+2.5+3+3=2x+2.5+3+3+3
x+x+x+x+11=x+11.5
2x+2.5=3
12
5 pts
Ms. Allen solved the equation but she knows she solved it incorrectly.
FIRST - Circle her mistake.
THEN - Solve the equation correctly.
13
5 pts
Solve for n.

3(n+2)=9(6−n)

Just write the number.
14
5 pts
Solve for x.

2x+7−5x+8=3(5+6x)−12x
Just write the number.
15
5 pts
What type of solution does this equation have?

x−3=2x−3−x
One Solution
No Solutions
Infinitely Many Solutions
16
5 pts
Write the other side of this equation so that it's true for all values of x.

17
5 pts
Solve for x.

3(x+5)=6

Just write the number.
18
5 pts
Decide whether this equation is true for all, one, or no values of x.

9(x−2)=7x+5
True for one value of x
True for no values of x (No Solution)
True for all values of x (Infinitely Many Solutions)
19
5 pts
Here is an equation:


What could you write after the "+" so that the equation would be true for all values of x? (Infinitely many solutions)
20
5 pts
In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score?

Just write the number.
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