**Pre-Algebra Lesson 6-1 to 6-3 Quiz**

**Multiple Choice**

*Identify the choice that best completes the statement or answers the question.*

____ 1. Find the area of the triangle.

74 ft 17 ft

Not drawn to scale

a. 629 ft2 b. 182 ft2

____ 2. Find the area of the rectangle with length 27 inches and width 40 inches.

a. 134 in.2 b. 1,080 in.2

____ 3. Which one of the diagrams below could be used to solve the following problem: Justine rides her bike 3 miles

to the east and then 10 miles to the south. How far is she from her starting point?

a. b.

____ 4. If *c* is the measure of the hypotenuse, find the missing measure. Round to the nearest tenth, if necessary.

a. 42.8 c. 45.9

b. 39.9 d. 38.9

____ 5. The diagonal of a computer monitor is measured to be 17 inches. If the width of the monitor is 12 inches, find

the height of the monitor to the nearest inch.

a. 17 inches c. 16 inches

b. 12 inches d. 145 inches

____ 6. A television screen is 24 inches wide and 48 inches long. What is the length of the diagonal to the nearest

tenth of an inch?

a. 54.1 inches c. 48 inches

b. 2880 inches d. 53.7 inches

____ 7. Find the area of the rectangle with length 27 inches and width 40 inches.

a. 1,080 in.2 b. 134 in.2

____ 8. Stevie is moving up to the attic and wants to paint a wall white. The wall is a triangle with a base of 17 feet

and a height of 12 feet. What is the area of the wall?

**Short Answer**

9. Use the diagram below to answer the following questions.

**a**. If the perimeter of the parallelogram is 14.4 centimeters, what is the length of the base? Explain your

reasoning.

**b**. What is the area of the parallelogram? Explain your reasoning.

10. The area of a square is 144 square units. What is the length of a side of the square?

11. Use the diagram below to answer the following questions. (All angles in the diagram are right angles.)

**a**. What is the perimeter of the figure?

12. Chad's dad wants to repaint the top of the step outside the front door with special paint that doesn't get slippery in the rain. Below is the drawing of the top of the step. Each centimeter represents 1 foot.

**Pre-Algebra Lesson 6-1 to 6-3 Quiz **

**Answer Section**

**MULTIPLE CHOICE**

1. ANS: A PTS: 1 DIF: L1

REF: Covering and Surrounding | Skills Practice Investigation 3 OBJ: Investigation 3: Measuring Triangles

TOP: Problem 3.2 Identifying Base and Height KEY: area | base | height | triangle

2. ANS: B PTS: 1 DIF: L1 REF: Skills Practice Investigation 1

OBJ: Investigation 1: Building Boxes NAT: NAEP M1h STA: 7IL 7.7.03| 7IL 9A.3a

TOP: Problem 1.2 Making Rectangular Boxes KEY: area | rectangle

MSC: NAEP M1c | CAT5.LV16.55 | CAT5.LV16.56 | CTBS.LV16.55 | CTBS.LV16.56 | ITBS.LV12.E | ITBS.LV12.G | ITBS.LV12.M | S9.Int2.GM | S10.Int2.GM | TV.LV16.13 | TV.LV16.14

3. ANS: B PTS: 1 DIF: L2

REF: Looking for Pythagoras | Multiple Choice Item

OBJ: Investigation 3: The Pythagorean Theorem NAT: NAEP G3d

STA: 8IL 10C.3 TOP: Problem 3.4 Measuring the Egyptian Way

KEY: drawing diagrams | direction 4. ANS: B

According to the Pythagorean Theorem, . Substitute the given values and solve for the remaining

value.

**Feedback **

**A ** _{Did you square the known leg? }

**B ** _{Correct! }

**C ** _{Can a leg of a right triangle be longer than the hypotenuse? }

**D ** _{Be careful with subtraction? }

PTS: 1 DIF: Average REF: Lesson 10-4

OBJ: 10-4.1 Use the Pythagorean Theorem to find the length of a side of a right triangle.

NAT: NA 1 | NA 3 | NA 4 | NA 8 | NA 2 STA: IL 9A | IL 9A.3

TOP: Use the Pythagorean Theorem to find the length of a side of a right triangle. KEY: Pythagorean Theorem | Right Triangles | Missing Measures

5. ANS: B

Set up a Pythagorean relationship from the problem situation. Solve the equation to answer the question.
**Feedback **

**A ** _{Can the hypotenuse be the same length as one of the legs? }

**B ** _{Correct! }

**C ** _{Did you square 12 correctly? }

**D ** _{Did you forget to take the square root? }

PTS: 1 DIF: Basic REF: Lesson 10-4

OBJ: 10-4.2 Use the Pythagorean Theorem to solve real-world problems.

TOP: Use the Pythagorean Theorem to solve real-world problems. KEY: Pythagorean Theorem | Solve Problems

6. ANS: D

Set up a Pythagorean relationship from the problem situation. Solve the equation to answer the question.
**Feedback **

**A ** _{Did you square 24 correctly? }

**B ** _{Did you forget to take the square root? }

**C ** _{Can the hypotenuse be the same length as one of the legs? }

**D ** _{Correct! }

PTS: 1 DIF: Average REF: Lesson 10-4

OBJ: 10-4.2 Use the Pythagorean Theorem to solve real-world problems.

NAT: NA 1 | NA 3 | NA 4 | NA 7 | NA 2 STA: IL 9A | IL 9A.5

TOP: Use the Pythagorean Theorem to solve real-world problems. KEY: Pythagorean Theorem | Solve Problems

7. ANS: A PTS: 1 DIF: L1

REF: Covering and Surrounding | Skills Practice Investigation 1 OBJ: Investigation 1: Designing Bumper Cars

TOP: Problem 1.2 Finding Area and Perimeter of Rectangles KEY: area | rectangle

8. ANS: A PTS: 1 DIF: L2

REF: Covering and Surrounding | Skills Practice Investigation 3 OBJ: Investigation 3: Measuring Triangles

TOP: Problem 3.2 Identifying Base and Height

KEY: area | triangle | base | height | word problem | problem solving

**SHORT ANSWER**

9. ANS:

**a.** 5 cm

**b.** 10 sq. cm

PTS: 1 DIF: L2

REF: Covering and Surrounding | Additional Practice Investigation 4 OBJ: Investigation 4: Measuring Parallelograms

TOP: Problem 4.3 Designing Parallelograms Under Constraints KEY: base | height | area of a parallogram

10. ANS: 12 units

The area of a square is given by where *s* is the side and *A* is the area of the square. Solve by taking the

square root of both sides.

PTS: 1 DIF: Basic REF: Lesson 10-1 OBJ: 10-1.3 Solve multi-step problems.

NAT: NA 1 | NA 6 | NA 8 | NA 4 STA: IL 6B | IL 6B.4

TOP: Solve multi-step problems. 11. ANS:

PTS: 1 DIF: L2

REF: Covering and Surrounding | Additional Practice Investigation 1 OBJ: Investigation 1: Designing Bumper Cars

TOP: Problem 1.2 Finding Area and Perimeter of Rectangles KEY: dimension | area | perimeter | area of an irregular figure 12. ANS:

**a.** Some students may know that the formula for the area of a trapezoid is and calculate

= 8 square feet. Others may divide the trapezoid into a rectangle and two triangles, where

the area of the rectangle is 3 2 = 6 square feet and the area of each congruent triangle is =

1 square foot for a total of 6 + 1 + 1 = 8 square feet.

PTS: 1 DIF: L2 REF: Covering and Surrounding | Question Bank

OBJ: Investigation 4: Measuring Parallelograms