Combining Like Terms: Practice and Review

This video tutorial covers several algebraic problems from a seventh-grade math unit. It begins with combining like terms and verifying expressions, followed by determining equivalence between expressions. The tutorial then moves on to writing expressions for checking account balances, correcting errors in the distributive property, and solving inequalities to find possible values for variables. Each problem is broken down step-by-step, with explanations and opportunities to pause and review the material.

What is the result of combining the like terms in the expression: -2/3 + (-10/3)?

• -4

• 0

• 4

• -12

Which of the following expressions is equivalent to 3x - 2x?

• 2x

• 0.5x

• x

• 1.5x

What is the simplified form of the expression: 3x + 12 - 2x - 8?

• x + 2

• x + 4

• x + 3

• x + 5

Which of the following pairs of expressions are equivalent?

• 6x + 24 and 4x + 14

• 2x + 7 and 4x + 14

• 4x + 14 and 4x + 14

• 3x + 12 and 3x + 4

How can you make the expression 1.5x + 6 equivalent to 1.5?

• Change 1.5x to 1.5

• Change 6 to 1.5

• Change 6 to 4

• Change 1.5 to 1.5x + 4

What is the simplified expression for a checking account balance of -126.89 with deposits of x and 3.5x, and a withdrawal of 25?

• -126.89 + 4x

• -151.89 + 4x

• 126.89 + 4x

• 151.89 + 4x

What is the new balance if a checking account starts with $350, has two withdrawals of x and x+50, and a deposit of $75?

• 300 - 2x

• 325 - 2x

• 350 - 2x

• 375 - 2x

In the expression 9 - 4(5x - 6), what should be the result of -4 times -6?

• -6

• 24

• -24

• 6

If 11 + x is positive but 4 + x is negative, what is one possible value for x?

• -5

• -3

• -10

• -7

If -3 + y is positive but -9 + y is negative, what is one possible value for y?

• 7

• 6

• 5

• 4