Unit 8: X or (X, Y) Marks the Spot! Unit Test

Unit 8: (X, Y ) Marks the Spot! 457

Practice

Find the solution sets. Refer to pages 455 and 456 as needed.

1. (x + 4)(x – 2) = 0 { , }

2. (x – 5)(x + 3) = 0 { , }

3. (x – 5)(x – 7) = 0 { , }

4. (x + 6)(x + 1) = 0 { , }

5. (x – 2)(x – 2) = 0 { , }

Unit 8: (X, Y ) Marks the Spot!458

6. (x + 18)(x – 23) = 0 { , }

7. x(x – 16) = 0 { , }

8. (x – 5)(2x + 6) = 0 { , }

9. (3x – 5)(5x + 10) = 0 { , }

10. (10x – 4)(x + 5) = 0 { , }

Unit 8: (X, Y ) Marks the Spot!464

Practice

Use the list below to write the correct term for each definition on the line provided.

equation factor product

solution solve value (of a variable)

________________________ 1. a mathematical sentence in which two expressions are connected by an equality symbol

________________________ 2. to find all numbers that make an equation or inequality true

________________________ 3. any of the numbers represented by the variable

________________________ 4. any value for a variable that makes an equation or inequality a true statement

________________________ 5. the result of multiplying numbers together

________________________ 6. a number or expression that divides evenly into another number; one of the numbers multiplied to get a product

Unit 8: (X, Y ) Marks the Spot! 465

Practice

Match each definition with the correct term. Write the letter on the line provided.

______ 1. an equation in the form of ax2 + bx + c = 0

______ 2. a monomial or sum of monomials; any rational expression with no variable in the denominator

______ 3. the set of values that make an equation or inequality true

______ 4. expressing a polynomial expression as the product of monomials and polynomials

______ 5. a number, variable, or the product of a number and one or more variables; a polynomial with only one term

______ 6. a monomial expressed as the product of prime numbers and variables, where no variable has an exponent greater than 1

A. factored form

B. factoring

C. monomial

D. polynomial

E. quadratic equation

F. solution set ({ })

Unit 8: (X, Y ) Marks the Spot!468

Practice

Solve each problem. Refer to pages 466 and 467 as needed.

1. The product of two consecutive positive integers is 72. Find the integers.

Answer:

2. The product of two consecutive positive integers is 90. Find the integers.

Answer:

3. The product of two consecutive negative odd integers is 35. Find the integers.

Answer:

4. The product of two consecutive negative odd integers is 143. Find the integers.

Answer:

Unit 8: (X, Y ) Marks the Spot! 469

5. Sara has a photo that is 5 inches by 7 inches. When she adds a frame to it, she gets an area of 63 square inches. How wide is the frame?

Answer: inches

6. Bob wants to build a doghouse that is 2 feet longer than it is wide. He’s building it on a concrete slab that will leave 2 feet of concrete slab visible on each side. If the area of the doghouse is 48 square feet, what are the dimensions of the concrete slab?

Answer: feet x feet

7. Marianne has a scarf that is 5 inches longer than it is wide. If the area of her scarf is 84 square inches, what are the dimensions of her scarf?

Answer: inches x inches

x + 2

2 + x + 2

2 2

co nc

re te

co nc

re te

A = 48

x

x +

2

doghouse

A = 48

x

x + 2 doghouse

Unit 8: (X, Y ) Marks the Spot!470

Practice

Use the list below to complete the following statements.

area (A) consecutive integers

length (l) negative integers odd integers

1. are integers that are less than zero.

2. Integers that are greater than zero are .

3. are not divisible by 2.

4. The measure in square units of the inside region of a two-

dimensional figure is called the .

5. A parallelogram with four right angles is called a(n)

.

6. means the numbers are in order.

7. To find the area (A) of a rectangle, you multiply the

by the .

8. are the numbers in the set

{… , -4, -3, -2, -1, 0, 1, 2, 3, 4, …}.

positive integers rectangle width (w)