Unit 4 Retake Assignment

Here is a balanced hanger diagram. A triangle has a mass of 1 gram and a circle has a mass of 3 grams. What is the mass of a square?

• A. 2 grams

• B. 10 grams

• C. 4/6 grams

• D. 1/2 grams

Select all the equations that have no solution.

• 3x + 9 = 3x - 12

• 4x + 1 = 4x - 1

• 6x + 1 = -6x + 1

• 2x + 6 = 6 + 2x

• x + 2 = x - 10

Select all the equations that have infinitely many solutions.

• 3x + 9 = 3(x + 3)

• 4x + 1 = 2x - 1

• 6x + 1 = 6x + 1

• 2x + 6 = 6 + 2x

• 7x + 3 = 3x + 7

What value should be on the right side of the equation 8x + 6 = _______ to have one solution?

• 8x + 6

• 9x + 6

• 8x + 7

Solve the equation: 2x + 6 = 3(x - 2) - 10.

Mathematical Equivalence

ON

Han has $24 and begins saving $8 each week. Diego has $36 and begins saving $5 each week. Create an equation that represents Han's situation where "x" is weeks and "y" is the total saved.

Mathematical Equivalence

OFF

For the system of equations: y = 2x + 5 and y = -2x + 5, how many solutions does it have?

• One solution

• No solution

• Infinite solutions

Fill in the blank: The system of equations x + y = 4 and 2x + 2y = 8 has ________ solutions.

• One

• No

• Infinite

Which of the following equations could be the other equation in the system if the solution is (-3, -4)?

• y = (4/3)x

• y = 2x + 2

• y = (2/3)x - 2

• y = -2x

• y = -3x - 4

Fill in the blank: Solve the system of equations: 5x + 2y = 14 and y = (-3/2)x + 3. The solution is (​ ​ (a)   ,​ (b)   ).

• 4
• -3
• 1
• -1.2
• 5
• -4
• 3