The video tutorial covers solving literal equations with multiple variables. It begins with an introduction to the concept and proceeds with four examples. The first example involves solving a perimeter equation for L, using inverse operations. The second example demonstrates solving a volume equation for H, focusing on handling fractions. The third example deals with solving an equation with parentheses for X, resulting in a complex fraction. The final example involves solving a triangle area formula for H, emphasizing maintaining equation balance.

What is the goal of solving literal equations?

• To solve equations with only one variable.

• To simplify equations to their simplest form.

• To find the value of a single variable in an equation with multiple variables.

• To find the perimeter of geometric shapes.

Tags

CCSS.HSA.CED.A.4

In the perimeter equation P = 2L + 2W, what is the first step to isolate L?

• Multiply both sides by 2.

• Subtract 2W from both sides.

• Divide both sides by 2.

• Add 2W to both sides.

Tags

CCSS.HSA.CED.A.4

After subtracting 2W from both sides in the equation P = 2L + 2W, what is the next step?

• Add 2L to both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

• Subtract 2L from both sides.

Tags

CCSS.HSA.CED.A.4

In the volume equation V = 1/3 * π * r^2 * H, what is the first step to isolate H?

• Add π to both sides.

• Subtract π from both sides.

• Multiply both sides by 3.

• Divide both sides by π.

Tags

CCSS.HSA.CED.A.4

After multiplying both sides by 3 in the equation V = 1/3 * π * r^2 * H, what is the next step?

• Subtract π * r^2 from both sides.

• Divide both sides by π * r^2.

• Multiply both sides by π * r^2.

• Add π * r^2 to both sides.

Tags

CCSS.HSA.CED.A.4

In the equation a * (bX + c) = d, what is the first step to isolate X?

• Subtract a from both sides.

• Add a to both sides.

• Divide both sides by a.

• Multiply both sides by a.

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CCSS.HSA.REI.A.1

After dividing both sides by a in the equation a * (bX + c) = d, what is the next step?

• Divide both sides by b.

• Multiply both sides by b.

• Subtract c from both sides.

• Add c to both sides.

Tags

CCSS.HSA.REI.A.1

In the area formula for a triangle A = 1/2 * B * H, what is the first step to isolate H?

• Multiply both sides by 2.

• Divide both sides by 2.

• Add 2 to both sides.

• Subtract 2 from both sides.

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CCSS.HSA.REI.B.3

After multiplying both sides by 2 in the equation A = 1/2 * B * H, what is the next step?

• Subtract B from both sides.

• Divide both sides by B.

• Multiply both sides by B.

• Add B to both sides.

Tags

CCSS.HSA.CED.A.4

What is the final form of H in the area formula for a triangle after isolating it?

• H = A / 2B

• H = B / 2A

• H = 2A / B

• H = 2A * B

Tags

CCSS.HSA.CED.A.4