Solving for Y: A Deep Dive into Mixed Equations

What is the main idea behind the 'All Mixed Up' concept?

• Equations are always given in standard form.

• Equations can be rearranged and need to be converted to a familiar form.

• Equations are always given in slope-intercept form.

• Equations cannot be changed once given.

In the analogy used, what does the concrete mixer represent?

• The process of mixing ingredients.

• The process of rearranging equations.

• The process of solving equations.

• The process of pouring concrete.

What is the first step in converting the equation 2y - 6 = 6x to slope-intercept form?

• Divide both sides by 2.

• Subtract 6 from both sides.

• Add 6 to both sides.

• Subtract 6x from both sides.

After adding 6 to both sides in the equation 2y - 6 = 6x, what is the next step?

• Add 6x to both sides.

• Multiply both sides by 2.

• Subtract 6x from both sides.

• Divide both sides by 2.

In the equation 10x + 35 = -5y, what is the first step to isolate y?

• Divide both sides by -5.

• Subtract 35 from both sides.

• Flip the equation to get -5y on the left.

• Add 5y to both sides.

What is the result of dividing both sides of -5y = 10x + 35 by -5?

• y = -2x - 7

• y = 2x - 7

• y = -2x + 7

• y = 2x + 7

When converting from standard form to slope-intercept form, what is the first variable to move?

• y

• x

• The constant

• The coefficient

In the equation -3y = -3x + 6, what is the result of dividing both sides by -3?

• y = x - 2

• y = -x + 2

• y = -x - 2

• y = x + 2

What is the simplified form of the equation y + 3 = -2x - 14?

• y = -2x + 17

• y = -2x - 17

• y = 2x + 17

• y = 2x - 17

In the equation y - 5 = -3x + 6, what is the final step to isolate y?

• Multiply both sides by 5.

• Add 5 to both sides.

• Divide both sides by 5.

• Subtract 5 from both sides.