Pearson Review Math 1 (1-8)

The area of a rectangular classroom is given by the trinomial  a² - 4a - 21.  If the length of the rectangle is a + 3, what is the expression for the width of the classroom?

• a + 7
• a - 7
• a + 8
• a - 8

The area of a square mural is 144x² - 72x + 9.  What is the length of one side of the mural?

• 72x
• 72x + 3
• 12x + 3
• 3x - 12

If x² + 7x - 18 is factored into two binomials (x + p) (x + q), what do you know about the signs of p and q?

• They are both negative
• Not enough information
• They are the same
• They are opposite

The area of a rectangular field is given by the trinomial t² - 4t -45.  The length of the rectangle is t + 5.  What is the expression for the width of the field?

• t - 9
• t + 9
• 2t + 15
• 2t - 15

The area of a square room is 16x² + 72x + 81.  What is the length of one side of the room?

• 8x - 9
• 8x + 9
• 4x + 9
• 4x - 9

In ax² +bx + c, if ac is negative and b is positive, what do you know about the factors of ac?

• Not enough information
• Both are -
• Both are +
• One is + and one is -

A large square has sides of (x + 5) and a small  square of sides (x - 2) is cut out from inside the large square and removed.  What is the area of the remaining figure?

• 3
• 14x + 21
• 2x² + 3x -10
• -10

The area of a large square is given by the trinomial 9x² + 24x + 16.  A small square of area 4x² is removed from it.  What would be an appropriate expression for the remaining figure?

• 5x² + 20x + 12
• (5x + 4)(5x + 4)
• (3x + 4)(3x + 4)
• (5x + 4)(x + 4)

The distance a train has traveled is 6x² - 23x + 20.  The train's average speed is 3x - 4.  How long has the train been traveling?

• 4/3 of an hour
• (2x + 5)
• (2x - 5)
• (3x - 5)

A white, square quilt has a purple square in the center.   The side length of the purple square is (x - 5) inches and the width of the quilt is 60 inches.  What is the area of the white part of the quilt?

•  (-x² + 10x + 3575 ) in.²
• (x² + 10x + 3575 ) in.²
• (x² - 10x - 3625 ) in.²
• (-x² + 10x + 3625 ) in.²