8th Grade 4th Quarter Summative

A student solved the equation x² = 132 to find the length of the diagonal of a square in centimeters. Which measurement is closest to x, the length of the diagonal of this square, in centimeters?

• 66 cm

• 44 cm

• 33 cm

• 11 cm

The area of a piece of land is 4,951,000 square meters. How is this number of square meters written in scientific notation?

Mathematical Equivalence

ON

A linear function is represented on the coordinate grid. What is the y–intercept of the graph of this function?

Mathematical Equivalence

ON

Which set of ordered pairs represents y as a function of x?

• { (0,0.5), (2, 1.5), (-5.5,5), (-5.5, -6) }

• { (5,-7), (3, -7), (-9.2, -7), (9.2, -7) }

• { (9.3,-1), (7.3,-2), (7.3,2), (9.3,1) }

• { (8.1, 9), (9.1,10), (10.1,9), (9.1,8) }

Which representation shows y as a function of x?

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A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week. Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

• t = 15w - 275

• t = -15w + 275

• t = 275w - 15

• t = -275w + 15

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality? 5x < 3x + 2

• The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.

• The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is $2 greater than the price of 3 notebooks.

The side lengths in yards of a triangle and a square are shown in the diagram. The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?