A1.10A and A1.10D Notes

Simplify the expression: (3x² + 5x + 4) + (7x² + 2x + 3).

• 10x² + 7x + 7

• 10x² + 5x + 4

• 3x² + 2x + 3

• 7x² + 5x + 4

Simplify the expression: (10 + 7r - r²) + (-6r² - 18 + 5r).

• -7r² + 12r - 8

• -5r² + 12r - 8

• -7r² + 2r - 8

• -5r² + 2r - 8

Simplify the expression: 2x² + (4x - 6x² - 3) + 9.

• -4x² + 4x + 6

• -4x² + 4x + 9

• -4x² + 4x + 12

• -4x² + 4x + 5

The basketball court has an area represented by 3x² - 6x + 5. The football field has an area represented by 5x² - 7x - 9. What is the simplified expression for how much larger the football field is compared to the basketball court?

• 2x² - x - 14

• 2x² + x - 14

• 2x² - x + 14

• 2x² + x + 14

A shoe company is combining inventories from two stores. Store A has 3s² + 15, and Store B has 7s² + 5s - 7. What is the simplified expression for the combined inventory?

• 10s² + 5s + 8

• 10s² + 5s + 22

• 10s² + 5s + 15

• 10s² + 5s + 7

What is a "Variable" in mathematics?

• A number used as a placeholder for an unknown value.

• A constant value.

• A fixed number.

• A known quantity.

Which of the following is an example of a variable expression?

• 2(g + h)

• 5

• 10

• 3.14

In the expression 2(g + h), what does the number 2 represent?

• Coefficient

• Variable

• Constant

• Exponent

What operation is performed in the distribution process?

• Multiplication

• Addition

• Subtraction

• Division

What is the term for a number that multiplies a variable?

• Coefficient

• Constant

• Exponent

• Variable