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Name: _______________________Chapter 5 Algebraic Expressions: ReviewAlgebraic ExpressionsEvaluate. m = -4 n = 3 p = -9 8m + p = __________________np – 5 = __________________m – p = ___________________5n +5m = __________________The expression 6n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represented the cost of shoe rental. How much will it cost Vincent to bowl 2 games?On Jane’s last birthday she weighed 125 pounds. One year later she has put on x pounds. Which expression gives her weight one year later?a) x 125 b) 125 - x c) x + 125 d) 125xSequencesDescribe the relationship between the terms in each arithmetic sequence, then write the next three terms in each sequence. Write an expression -60, -50, -40, -30, ….3.5, 4.0, 4.5, 5.0, ….1, 11, 21, 31, 41, ….1.5, 1.7, 1.9. 2.1, …46512721134100Refer to the image. Write an expression to find the nth term. How many blocks would be in the 15th row?Kendra is stacking boxes of tissues for a store display. She takes 3 boxes the first minutes, 6 boxes the second minutes, and 9 boxes the third minute. Suppose the pattern continues for parts a-d.Make a table of values for 1, 2, 3, 4, and 5 minutes.Write an expression to find the nth term in the sequence.Properties of OperationsName the property shown by each statement. (4 + 5) + 8 = 8 + (4 + 5) __________________________________(5)(1) = 5 _____________________________________________6 + (-8 + 4) = (6 + -8) + 4 _________________________________7( 8x – 3) = 56x – 21 ____________________________________(8x)(0) = 0 ____________________________________________State whether each conjecture is true or false. If false, provide a counterexample.The Associative Property is the only property of operations that uses grouping symbols. Two negatives equals a positive. All 7th grade students at MMS are boys. The Distributive Property-5(2x – 7) = ___________________8(-x – 4) = ____________________-3(2x + 4y) = __________________(-6x + 1)(9) = __________________Which of the following expressions is equivalent to the expression below?7a + 7b7abb. 7(a + b)c. 7a + bd. a + 7bThe table shows the different prices of items at a movie theater. Suppose Mina and three of her friends go to the movies. Write an expression that Movie Theater PricesItemCost ($)Box of Candy2.50Drink3.00Popcorn4.25Ticket8.50could be used to find the total cost for them to go to the movies and buy one of each items.What is the total cost for all four people?Simplifying Algebraic ExpressionsIdentify the terms, like terms, coefficients, and constants in each expression. -8 +2x – 4 – 6y Terms: _______________________________________________Like terms: ____________________________________________Coefficients: __________________________________________Constants: ____________________________________________11 + x + 13x Terms: _______________________________________________Like terms: ____________________________________________Coefficients: ___________________________________________Constants: ____________________________________________Write each expression in simplest form.15x – x + 3x ______________________– 2y + 8 + 19y _____________________41836311270000Find the perimeter of the figure. In 7th grade, there are 22 more students than in 6th grade. If there are m students in 7th grade, write an expression to find the total number of 6th and 7th graders at school. Add Linear ExpressionsAdd. Use models if needed. (5x – 7) + (-6x + 8) = ___________________________4(-3x – 2) + (7x + 14) = __________________________(18x + 20) + (-5x – 16) = _________________________(-11x + 1.9) + 3(9x + 1.1) = ______________________The table shows the breakdown of points scored in last week’s basketball game. 1st Quarter Field Goal Points2nd Quarter Field Goal Points3rd Quarter Field Goal Points4th Quarter Field Goal PointsFree Throw Points3x – 2x + 83x2x – 1011Write a linear expression in simplest form to represent the total field goal points score in the first two quarters.Write a linear expression in simplest form to represent the total points scored in the game.A rectangle has side lengths (5x – 9) meters and (3x + 4) meters. Write a linear expression in simplest form to represent the perimeter. Find the perimeter if the value of x is 8 meters.Subtract Linear ExpressionsSubtract. Use models if needed. (8x + 17) – (x – 5) = ________________________(-4x – 16) – (14x + 8) = ______________________2(9x – 7) – (10x + 6) = ______________________A shoebox with a pair of shoes in it weighs 2.4 Kg. The box weighs 0.3 Kg when empty. Use “y” to represent the weight of one shoe.A) 2y – 0.3 = 2.4B) 2y = 0.3C) 2y + 0.3 = 2.4D) 2(y + 2.4) = 0.35) The number of customers in a store on the first day is presented by (5x –7). The number of customers on the second day is represented by (2x – 4). Write an expression to find how many more customers visited the store on the first day. Then evaluate the expression if x is equal to 35.Factor Linear ExpressionsFind the GCF of each pair of polynomials. 80xy, 45y _________________________12x, 60y _________________________Factor each expression. If it cannot be factored, write “cannot be factored”.35x + 7 _________________________15 – 60y _________________________The area of a rectangular porch is (18x + 30) square inches. Factor 18x + 30 to find possible dimensions of the porch.Write two monomials whose greatest common factor is 5y. ................
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