Open Up Resources Illustrative Math Unit 4 Mid-Unit Assessment
Question 1
1.
Question 2
2.
Solve this equation:
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
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?
Question 11
11.
Question 12
12.
Ms. Allen solved the equation but she knows she solved it incorrectly.
FIRST - Circle her mistake.
THEN - Solve the equation correctly.
Question 13
13.
Solve for n.
3(n+2)=9(6−n)
Just write the number.
Question 14
14.
Solve for x.
2x+7−5x+8=3(5+6x)−12x
Just write the number.
Question 15
15.
Question 16
16.
Write the other side of this equation so that it's true for all values of x.
Question 17
17.
Solve for x.
3(x+5)=6
Just write the number.
Question 18
18.
Question 19
19.
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)
Question 20
20.
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.
A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle?
What type of solution does this equation have?
3x + 8 = 3x + 2 - 10
one solution
infinitely many solutions
no solution
Does this equation have a solution that is positive, negative, or zero?
3x + 2 = -5
positive solution
negative solution
zero
Order these steps to solving this equation:
x - 4(x - 1) = x + 2x + 3
6 = 6x
x = 16
-3x + 9 = 3x + 3
6x - 9(x-1) = x + 2x + 3 (original equation)
6x - 9x + 9 = x + 2x + 3
9 = 6x + 3
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 divide correctly.
No, Ms. Allen did not distribute correctly.
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
Which of the following would keep the hanger balanced?
Take away 2 rectangles and 2 circles from both sides
Add 3 circles to the left and add 4 triangles to the right
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
Which equation could describe this hanger?
4y = 2y + 4z
2x + 4y = 2y + 4z + 2x
x + 2y = y + 2z + x
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.
2x+2.5=3
2x=0.5
4x+2.5+2.5+3+3=2x+2.5+3+3+3
4x+5+6=2x+2.5+6
x+x+x+x+11=x+11.5
What type of solution does this equation have?
x−3=2x−3−x
Infinitely Many Solutions
One Solution
No Solutions
Decide whether this equation is true for all, one, or no values of x.
9(x−2)=7x+5
True for no values of x (No Solution)
True for all values of x (Infinitely Many Solutions)