7 Multiply first. Think: 9 8 Then divide. Think: 8 Finally, subtract. Think: Replace a with 9. o, when a 9, the value of a is. 8 9 a ubtract.. Replace a with 5. The value of a is a a 5 b Add. is Divide. The value of Multiply first. Replace b with. b b. Think: 5 5 5 ) Go to the next side.. Evaluate term with exponent. Operate inside parentheses. Replace c with. The value of (0 c) is (0 (0 c) c o, when s, the value of 5(s ) is 5. 5 5(s ) Replace s with. 5( ) Operate inside parentheses. Think: 5 5 5 Evaluate 5. Think: 5 5 5, or 5 5 5. Add and subtract from left to right. kill 5 Evaluate 5(s + ) for s.. Evaluate terms. Multiply and with exponents. divide from left to right. a Evaluate for a 9.. Operate inside parentheses. Order of Operations Evaluate the expression for the given value of the variable. Write each step. Try These o, when b, the value of b is 5. 5 Evaluate b for b. b Replace b with. Multiply first. Think: 8 8 Then add. Think: 8 5 You can evaluate, or find the value of, an expression by using the order of operations. Evaluate Expressions kill
kill kill 5 Practice on Your Own Remember: When you multiply a negative number by a positive number, the product is a negative number. Evaluate (x ) xy, for x 7 and y. (x ) xy Replace x with 7 and y with. (7 ) 7 Operate inside parentheses. 0 7 00 7 Evaluate 0. 00 8 00 5 Add. The value of (x ) xy is. Evaluate the expression for the given value of the variable. Write each step. m 5 n 5(p 0) 7mn 7 Replace m with 5 and n with. ubtract. t t 8 0) 5 z (z + 8) Think: Divide. Add. Replace p with 8. Parentheses Exponents The value 5(p 0) is _. 5( The value of 7mn is _. p 8 p 7, g Think: Parentheses then exponents pg Evaluate the expression for the given value of the variable. 5c for c 7 ab for a and b 8 (n 5) for n Check Evaluate the expression for the given value of the variable. 9 0 5d for d 0 xy 7 for (t ) for t 7 x and y 8 8
addition n 5 b = unknown A number times is 5. Twelve plus a number is 7. Remember: An equation is an algebraic or numerical sentence that shows two quantities are equal. kill 5 a 5 7 unknown Go to the next side. The quotient of and a number is. The difference of a number and is. c unknown division Example A number divided by is. subtraction Example The difference of a number and 5 is 7. Write the operation. Then write an algebraic equation for the word sentence. Try These multiplication Example The product of and a number is 0. unknown Example A number increased by is. You can write an algebraic equation for a word sentence. An algebraic equation is an equation that contains a variable. Follow these steps to write an algebraic equation for a word sentence. tep Read the sentence. tep dentify operations, the unknown quantity, and the placement of the equal sign. tep Choose a variable. tep Write the equation. Connect Words and Equations kill
kill kill 5 Practice on Your Own Think: Use the word sentence to determine the operation, the unknown value, or variable, and the placement of the equal sign. Then write the equation. Word entence Algebraic Equation 0 is more than a number. addition unknown 0 x.5 less than a number is.. subtraction unknown x.5. Twice multiplication a number is 5. unknown x 5. A number divided by is unknown division x Write the operation. Then write an algebraic equation for the word sentence. A number plus 8 is 9. The difference of a number and.8 is.. The quotient of a number and is 9. Twice a number is 0. 5 is 8 more than a number. A number divided by is 8. 9 7 times a number is 5. 7 0 A number increased by is 5. 8.9 is 7. more than a number. 8 less than a number is 5. The product of a number and is. The quotient of 8 and a number is. Check Write an algebraic equation for the word sentence. 7 times a number is 8. 9. decreased by a number is.7. 5 A number divided by is. A number increased by is 7. 7 5 less than a number is 8. 8 times a number is. Write an algebraic equation for the word sentence.
5 TRY THEE. addition; 5 t or t 5. subtraction; p PRACTCE. multiplication; m. subtraction; x 8. division; c or c. addition; s or s 5. multiplication; 5b. subtraction; r 7. d 8. a 9. b 0. c. addition, multiplication, 8p or 8p. subtraction, multiplication, 7n 5 5. division, subtraction a CHEC. addition, 7 x or x 7 5. multiplication, subtraction, 9y 8. b 7. a TRY THEE. 5; 0 ;,. ; ; ;,. ; 7 ; 9; 98; 98 PRACTCE. 5, ; 70 ; 7; 7. 8, 5 ; 5 ; 0; 0. 7 8; 8; 8 8;. ( 8) ; ; ; 8 5. 7 ; ; 9. 5 7. 9 8. 9. 0 0. 5. CHEC 55 TRY THEE. x, x, 7,, x. a, 5, 7, a. 7x, x, 8y,, 9, 9x 8y PRACTCE. n, n,, n. 5y, y,,, y. a, a, 5b, b, a b. y, y,,, y 0 5. x, x, 7y,, 5x 7y. a, b, b,, 7, a 5b CHEC 7. 7y 5 8. a b 9. 7n 5 Answers
Variables may vary. TRY THEE. addition; x 7. subtraction; x. multiplication; x 5. division; x PRACTCE. addition; x 8 9. subtraction; x.8.. division; x 9. multiplication; x 0 5. addition; x 8 5 5 CHEC. 7x 8. 9. x.7 5. x. x 7 7. x 5 8 8. x x. division; 8 7. x 5 8. x 5 9. 7x 5 0. 8.9 x 7.. x. 8 x or 8 x 57 57 TRY THEE. addition; 7 n; 9. subtraction; 7 n;. multiplication; n ;. division; n; PRACTCE. n 7; 9. 5 n;. 8 n ;. 0 5 n; 5. n 8; 7. 7 n; 5 7. 9 n ; 7 8. 8 9 n; 9 9. 9 0.. 5.. 0 0. 88 5 5 or 88 5 5 5. 80 5 or 80 5. 7 7 8 CHEC 7. 5 8. 9. 9 0.. 5 78 9. 9 or 9. 87 09 78 or 87 78 09. 8 Answers