Unit 4 Mid-Unit Assessment - Honors

Solve this equation:

What type of solution does this equation have?

3x + 8 = 3x + 2 - 10

Does this equation have a solution that is positive, negative, or zero?

3x + 2 = -5

Order these steps to solving this equation:

x - 4(x - 1) = x + 2x + 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

Match the equation balancing steps with the description of what was done in each step.

Which of the following would keep the hanger balanced?

Which equation could describe this hanger?

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?

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.

Ms. Allen solved the equation but she knows she solved it incorrectly.

FIRST - Circle her mistake.

THEN - Solve the equation correctly.

Solve for n.

3(n+2)=9(6−n)

Just write the number.

Solve for x.

2x+7−5x+8=3(5+6x)−12x

Just write the number.

What type of solution does this equation have?

x−3=2x−3−x

Write the other side of this equation so that it's true for all values of x.

Solve for x.

3(x+5)=6

Just write the number.

Decide whether this equation is true for all, one, or no values of x.

9(x−2)=7x+5

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)

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.