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This helpful guide teaches you how to write algebraic expressions, evaluate them, and solve equations using hands-on equations. Examples and step-by-step explanations included.
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BELL-WORK Evaluate 3(5 + n) – 1 for n = 0, 1, 2, 3 3(5 + 0) – 1 = 14 3(5 + 1) – 1 = 17 3(5 + 2) – 1 = 20 3(5 + 3) – 1 = 23
Writing Algebraic Expressions Translate the following phrases into algebraic expressions. Eighteen more than a number. 18 + n The product of a number and three. 3n The difference of seven and a number. 7 – n Sixteen less than twice a number. 2n – 16 Three times the difference of a number and four. 3(x – 4) Two-thirds of a number. ⅔x The difference of a number and eight, divided by ten. x – 8 10 Double the difference of a number and seven. 2(x – 7)
Writing Algebraic Expressions The product of m and five, minus the quotient of t and seven 5m – t 7 The sum of the quotient of p and fourteen and the quotient of q and three p+ q 14 3
Evaluating Algebraic Expressions Jared worked for h hours at the pay rate of $5 per hour. Write an expression to determine how much money Jared earned. 5h How much money will he earn if he works a total of 18 hours? $90
Evaluating Algebraic Expressions Amed bought a new sweater for $27 plus sales tax t. Write an algebraic expression for the total cost of the sweater. 27 + t If the sales tax was $2.70, what is the total cost of the sweater? $29.70
Evaluating Algebraic Expressions The cost to rent a banquet hall is $240. If the cost will be shared equally among all the people, p, who attend the event, write an algebraic expression for the cost per person. 240 p
Writing Equations Eureka Module 4 Lesson 1 Exercise 4 Eureka Module 4 Lesson 1 Exercise 5
Solving Equations usingHands-On Equations x + 5 = 7 x = 2 3 = y – 6 y = 9 8y = 32 y = 4 x = 7 5 x = 35
Solving Equations usingHands-On Equations 2x + 3 = 19 2x = 16 x = 8 3 = 4y – 5 8 = 4y 2 = y y = 2