Solving Equations: A Comprehensive Review

The video tutorial reviews solving equations from seventh grade, starting with simple two-step equations and progressing to more complex ones involving distribution, combining like terms, and variables on both sides. The teacher provides step-by-step instructions and examples, emphasizing key concepts such as handling negative coefficients and ensuring balance in equations. The video concludes with homework instructions and encourages students to try their best.

What is the first step in solving a two-step equation?

• Add or subtract to isolate the variable

• Combine like terms

• Divide both sides by the same number

• Multiply both sides by the same number

In the equation -2x = 14, what is the value of x?

• -14

• 7

• 14

• -7

When solving an equation with variables on both sides, what should you do first?

• Divide both sides by the same number

• Add the variables together

• Subtract the smaller variable from both sides

• Multiply both sides by the same number

In the equation 11 = -1x - 4, what is the value of x?

• 15

• -11

• 11

• -15

What is the result of distributing 6(x - 2.5)?

• 6x - 15

• 6x + 15

• 6x - 2.5

• 6x + 2.5

In the equation 6x - 15 = 15, what is the value of x?

• 5

• -5

• 10

• -10

How do you combine like terms in the equation -2x + 11x - 8 = 10?

• Subtract 11x from -2x

• Subtract 10 from -8

• Add -8 and 10

• Add -2x and 11x

In the equation -14 = 3x - 8x + 16, what is the value of x?

• -6

• 6

• -5

• 5

What should you do if you have variables on both sides of the equation?

• Add the variables together

• Subtract the smaller variable from both sides

• Multiply both sides by the same number

• Divide both sides by the same number

What should you remember when entering negative answers in the form?

• Use parentheses around the negative number

• Write the number first, then the negative sign

• Do not include a space between the negative sign and the number

• Include a space between the negative sign and the number