Unit 4 Mid-Unit Assessment - Honors

by Sarah Allen

| 20 QuestionsNote 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

- -3x + 9 = 3x + 3
- 6 = 6x
- 9 = 6x + 3
- 6x - 9(x-1) = x + 2x + 3 (original equation)
- x = 16
- 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 = 106x - 3 = 5
- 6x - 3 = 56x = 8
- 6x = 8x = 8/6
- 4x + 2 = 122x + 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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