Algebra 1 Teams Quiz

What is the product of (3x + 6) ² ?

• 6x² + 12

• 9x² + 36

• 9x² + 18x + 36

• 9x² + 36x + 36

Which expression is equivalent to 16x² - 36 ?

• 4(2x - 3)(2x - 3)

• 4(2x + 3)(2x - 3)

• (4x - 6 )(4x - 6)

• (4x + 6)(4x - 6)

What number should be added to both sides of the equation to complete the square in x² + 8 = 17?

• 4

• 16

• 29

• 49

A ball was thrown upward into the air. The height, in feet of the ball above the ground t seconds after being thrown can be determined by the expression -16t² + 40t + 3. What is the meaning of the 3 in the expression? Select the correct answer.

• The ball takes 3 seconds to reach its maximum height.

• The ball takes 3 seconds to reach the ground.

• The ball was throw form a height of 3 feet.

• The ball reaches a maximum height of 3 feet.

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

p + g = 2.5

1.58p + 1.09g = 3.46

What is the total number of pounds of peaches and grapefruit that Juan buys?

• 2 pounds

• 2.5 pounds

• 3 pounds

• 3.5 pounds

Which of these shows the following expression factored completely?

6x² + 15x - 36

• (2x - 3)(x + 4)

• (6x + 9 )(x - 4)

• 3(2x - 3)(x + 4)

• 3(2x + 3)(x - 4)

Which expression is equivalent to x⁴ - 12x² + 36?

• (x² - 6)(x² - 6)

• (6 - x²)(6 + x²)

• (x² + 6)(x² + 6)

• (x² + 6)(x² - 6)

A satellite television company charges a one-time installation fee and a monthly service charge.

The total cost is modeled by the function y = 40 + 90x.

Which statement represents the meaning of each part of the function?

• y is the total cost, x is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.

• y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.

• x is the total cost, y is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.

• x is the total cost, y is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.

What is the product of the following expression?

2x² (x² + x - 5)

• 2x³ + x - 5

• 2x³ + 2x - 10

• 2x³ + 2x² - 5x

• 2x³ + 2x² - 10x

Which is the simplified form of this expression?

(2x + 3)(x - 6) - 2x² + 3x + 30

• 4x² - 6x + 12

• -2x² - 6x + 27

• - 6x - 12

• - 6x + 12