Identifying Mistakes in Algebraic Equations

The video tutorial highlights common mistakes made by students when solving algebraic equations. Each student, Carly, Trent, Ling, Alanna, and Rico, makes a unique error in their approach, such as dividing or multiplying sides of an equation differently, or making arithmetic errors. The tutorial emphasizes the importance of performing the same operation on both sides of an equation to maintain equality.

What mistake did Carly make when solving the equation 7a = 28?

• She added 7 to both sides.

• She subtracted a from both sides.

• She divided each side by different numbers.

• She multiplied both sides by 7.

Tags

CCSS.HSA.REI.A.1

What should Carly have done to solve 7a = 28 correctly?

• Multiply both sides by a.

• Divide both sides by 7.

• Subtract 7 from both sides.

• Add 28 to both sides.

Tags

CCSS.HSA.REI.A.1

In Trent's solution, what was the error in his first step?

• He added 3 to both sides.

• He divided both sides by 3.

• He multiplied each side by different numbers.

• He subtracted 1/3 from both sides.

Tags

CCSS.6.EE.B.7

How should Trent have correctly solved g/3 = 4/3?

• Multiply both sides by 3.

• Divide both sides by 3.

• Add 3 to both sides.

• Subtract 3 from both sides.

Tags

CCSS.HSA.REI.A.1

What was Ling's mistake when solving 12 = p + 6.2?

• She multiplied both sides by 6.2.

• She added 6.2 to both sides.

• She added 6.2 to one side and subtracted it from the other.

• She subtracted 6.2 from both sides.

Tags

CCSS.HSA.REI.A.1

What is the correct operation Ling should have performed on both sides of 12 = p + 6.2?

• Divide both sides by 6.2.

• Multiply both sides by 6.2.

• Subtract 6.2 from both sides.

• Add 6.2 to both sides.

Tags

CCSS.HSA.REI.A.1

What error did Alanna make in her first step?

• She added 4 to both sides.

• She divided one side and multiplied the other by 4.

• She multiplied both sides by 4.

• She divided both sides by 4.

Tags

CCSS.HSA.REI.A.1

What should Alanna have done to solve 4c = 12 correctly?

• Subtract 4 from both sides.

• Add 4 to both sides.

• Multiply both sides by 4.

• Divide both sides by 4.

Tags

CCSS.HSA.REI.A.1

What was Rico's mistake in his arithmetic calculation?

• He divided by 12 instead of subtracting.

• He multiplied by 12 instead of subtracting.

• He added 12 instead of subtracting.

• He subtracted 12 correctly but miscalculated the result.

Tags

CCSS.5.NBT.B.7

What is the correct result of 18.3 - 12 in Rico's problem?

• 5.3

• 6.3

• 7.3

• 8.3

Tags

CCSS.5.NBT.B.7