Over Lesson 1 1 Over Lesson 1 1

Over Lesson 1– 1

Over Lesson 1– 1

Lesson 1 -2 Glencoe Algebra 1

Evaluate numerical expressions and algebraic expressions by using the order of operations.

• evaluate – to find the value of • order of operations – the rule which lets you know which operation to perform first.

Evaluate Expressions Evaluate 26. 26 = 2 ● 2 ● 2 ● 2 = 64 Answer: 64 Use 2 as a factor 6 times. Multiply.

Evaluate 44. A. 64 B. 128 C. 192 D. 256

Use Order of Operations Evaluate 48 ÷ 23 ● 3 + 5 = 48 ÷ 8 ● 3 + 5 Answer: 23 Evaluate powers. =6● 3+5 Divide 48 by 8. = 18 + 5 Multiply 6 and 3. = 23 Add 18 and 5.

Evaluate [(92 – 9) ÷ 12]5. A. 6 B. 15 C. 30 D. 45

Expressions with Grouping Symbols A. Evaluate (8 – 3) ● 3(3 + 2) = 5 ● 3(5) Answer: 75 Evaluate inside parentheses. = 5 ● 15 Multiply 3 by 5. = 75 Multiply 5 by 15.

Expressions with Grouping Symbols B. Evaluate 4[12 ÷ (6 – 2)]2 = 4(12 ÷ 4)2 Evaluate innermost expression first. Answer: 36 = 4(3)2 Evaluate expression in grouping symbol. = 4(9) Evaluate power. = 36 Multiply.

Expressions with Grouping Symbols C. Evaluate the power in the numerator. Multiply 6 and 2 in the numerator. Subtract 32 and 12 in the numerator.

Expressions with Grouping Symbols Evaluate the power in the denominator. Multiply 5 and 3 in the denominator. Subtract from left to right in the denominator. Answer: 2

A. Evaluate the expression 2(4 + 7) ● (9 – 5). A. – 60 B. 66 C. 88 D. 68

B. Evaluate the expression 3[5 – 2 ● 2]2. A. 9 B. 18 C. 108 D. 3

C. A. 1 B. C. 4 D.

Evaluate an Algebraic Expression Evaluate 2(x 2 – y) + z 2 if x = 4, y = 3, and z = 2. 2(x 2 – y) +z 2 = 2(42 – 3) + 22 Answer: 30 Replace x with 4, y with 3 and z with 2. = 2(16 – 3) + 22 Evaluate 42. = 2(13) + 22 Subtract 3 from 16. = 2(13) + 4 Evaluate 22. = 26 + 4 Multiply 2 and 13. = 30 Add.

Evaluate x 3 – y 2 + z, if x = 3, y = 2, and z = 5. A. 6 B. 28 C. 36 D. 10

Write and Evaluate an Expression ARCHITECTURE Each side of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h.

Write and Evaluate an Expression A. Write an expression that represents the area of one side of the Great Pyramid.

Write and Evaluate an Expression B. Find the area of one side of the Great Pyramid. Replace b with 230 and h with 187. Multiply 230 by 187. Multiply by 43, 010. Answer: The area of one side of the Great Pyramid is 21, 505 m 2.

Find the area of a triangle with a base of 123 feet and a height of 62 feet. A. 3813 ft 2 B. 7626 ft 2 C. 15, 252 ft 2 D. 32 ft 2

page 13 #15 -35 odd; #36 -38; #39 -53 odd; #65 -68