Adding and Subtracting Linear Expressions Challenge

The video tutorial covers the basics of linear expressions, explaining the difference between linear and nonlinear expressions. It provides detailed methods for adding and subtracting linear expressions, using both the vertical and horizontal methods. The tutorial includes examples to illustrate these concepts and offers tips on handling integer operations.

What is a linear expression?

• A constant value.

• An expression with variables raised to any power.

• An equation with an equal sign.

• An algebraic expression with variables raised to the first power.

Which of the following is a nonlinear expression?

• 3x + 2

• 4x^2 + 1

• 5x - 7

• x + 8

In the expression X - 2 + 3X + 8, what is the coefficient of X after combining like terms?

• 1

• 3

• 4

• 5

What is the result of adding -4y + 3 and 11y - 5?

• 15y + 2

• 7y + 2

• 7y - 2

• 15y - 2

When using the vertical method to add linear expressions, what should you align?

• Constants with variables

• Different terms

• None of the above

• Like terms

What is the first step in solving 2(-7z + 3) + 5z - 2?

• Add 5z

• Subtract 2

• Distribute 2 to both terms inside the parentheses

• Combine like terms

What is the result of 2(-7z + 3) + 5z - 2 after distribution and combining like terms?

• -9z + 4

• -9z - 4

• -14z + 6

• -14z - 2

What does the 'keep-change-change' method refer to in subtracting linear expressions?

• Keeping the first term, changing the subtraction to addition, and changing the sign of the second term

• Keeping the first term, changing the addition to subtraction, and changing the sign of the first term

• Keeping both terms the same

• Changing both terms to their opposites

What is the result of subtracting 5y - 8 from 4 - 2y?

• -7y - 12

• -7y + 12

• 7y - 12

• 7y + 12

In the expression 4 - 2y - (5y - 8), what is the result after applying the keep-change-change method?

• 4 - 2y + 5y + 8

• 4 + 2y - 5y - 8

• 4 - 2y - 5y + 8

• 4 + 2y + 5y + 8