Solving Linear Equations and Operations

The video tutorial for grade seven students covers solving equations, emphasizing the importance of isolating the variable. It begins with an introduction to solving equations and the role of calculators. The tutorial then provides detailed examples of solving one-step equations, including those with negative numbers. It progresses to solving equations involving fractions and mixed numbers, explaining the need for a common denominator. The video concludes with a final example and a summary, reinforcing the importance of understanding the process and using calculators effectively.

What is the key phrase to remember when solving equations?

• Combine the variables

• Add the constants

• Isolate the variable

• Multiply the coefficients

When solving the equation x + 38 = -17, what operation should be performed to isolate x?

• Subtract 38 from both sides

• Divide both sides by 38

• Add 38 to both sides

• Multiply both sides by 38

In the equation -3.41 = y - 4.23, what should be added to both sides to solve for y?

• -3.41

• 4.23

• -4.23

• 3.41

What is the result of adding -17 and -38?

• -45

• -65

• -55

• -21

What is the result of subtracting 3.41 from 4.23?

• 3.82

• 0.82

• 1.82

• 2.82

How do you convert the mixed number 3 and 1/7 into an improper fraction?

• 22/7

• 21/7

• 20/7

• 24/7

What is the common denominator for the fractions 1/7 and 2/3?

• 21

• 35

• 14

• 28

What operation is used to eliminate a negative sign in front of a variable?

• Add 1

• Subtract 1

• Multiply by -1

• Divide by -1

What is the final value of x in the equation -317 - x = 2 2/3?

• 21/10

• -10/21

• 10/21

• -21/10

In the equation 42.67 = x + 13.29, what is the value of x?

• 28.38

• 31.38

• 29.38

• 30.38