Simplify and express in standard form: Simplify and express in standard form: Simplify and express in standard form:

Transcription

1 Name: Algebraic Expressions Simplifying Algebraic Expressions x (9x 4) ( 7x ) (x ) ate: PreAlgebra 9 Topic 4 Sheet #6 ( 4 n ) ( n ) ( x ) ( x 4) 6 ( 4a b ) (6a b) 0 4(x ) ( x ) 7 6( m n) (7 4n) 4rs s ( rs ) s 4 n 6(n ) 8 (n ) ( n )

2 4 6 Coach Martinez plans to order new uniforms for the members of the school basketball team. He will order pairs of shorts and shirts for each player. There are members on the team. If each pair of shorts costs x dollars and each shirt costs y dollars, the total cost of his order is given by the expression below. (x y) Which of the following expression is the expanded form of this expression? A 4x y 7 The expression below is equal to -0g plus a constant term. 8(.g 4.) +. What is the value of the constant term? A C x 6y C 60 xy 60( x y)

3 Name: Algebraic Expressions Simplifying Algebraic Expressions ate: PreAlgebra Part : Each of the expressions will simplify to one of the following choices. Simplify to determine which expressions are equivalent to expression A,, C, or A x x C x x SKILL LEVEL SKILL LEVEL SKILL LEVEL SKILL LEVEL ( x ) x 7x 9 (0x 0) Topic 4 Sheet #7 x ( x ) ( x ) 6 x 7x 0 (x 7) 4 (x ) x ( x ) 7 6 x x (x 9) (9x 4) x 4 ( x ) 8 x x 7 x 6 ( x 4) (8x ) Part : Choose a value for x. Evaluate each expression to check your simplification.

4 7 Tyler has a coupon for 0% off a single purchase at a store. If the item she buys costs p dollars, then the amount she will be charged is represented by the expression below. p 0. p Which expression is equivalent to this expression? FIN THE ERROR escribe and correct the error in identifying the like terms in the expression. A 0. p 0.8p C. p.8p 8 Are the expressions 8x ( x y) and 7x 7y 4x 4y equivalent? Explain your reasoning. Is the expression x x 4 in simplest form? Explain. 9 Which expression is not equivalent to 0a a? A 8a( 4) C 8 8a 4a( ) Which algebraic expression is in simplest form? Explain. A 0 Which expression is not equivalent to the other three? Justify. A x 6 (x ) C x 0 + x + 4 C x 6 x

5 Name: Algebraic Expressions Simplifying Algebraic Expressions PART A Find the difference. ( 9 p ) ( p ) A 7 p 7 p 8 C p p 8 Part A: 8 ate: PreAlgebra Find the additive inverse of each: Part : x 8 Part C: x 8 Topic 4 Sheet #8 Additive inverse: Additive inverse: Additive inverse: PART Choose a value for p and substitute it into the expressions to prove your answer is correct and the other choices are incorrect. 4 Write an expression to represent the sum of (x 7y) and (x + y). ( 9 p ) ( p ) Which of the following expressions is equivalent to n ( k) n( k )? A 7 p 7 p 8 A 0 - C -4n n(k ) C p p 8 6 Mei plans to trim a picture to fit the length of a frame. The picture is x 4 units long, but the frame is only 7x units long. How many units of the picture will Mei have to trim so that is will fit into the frame? FIN THE ERROR Arianna is finding x x. Find her mistake and correct it. 7 If P a a and R a, which expression represents P R? A a a C a a a a

6 8 Justify each step of the simplification with the property used. ( x ) (7x ) Steps ( x ) (7x ) x 7x x ( ) ( 7x) x ( 7x) ( ) x ( 7x) ( ) x 7 Property given combine 0 Emma and Aailyah simplify the same expression, as shown below. Who simplified the expression correctly? A Only Emma Only Aailyah C oth Emma and Aailyah Neither Emma nor Aailyah 9 The table shows the breakdown of points scored in last week s basketball game. st Quarter nd Quarter rd Quarter 4 th Quarter ( x ) x ( x 0) x 9 PART A Write a linear expression in simplest form to represent the total points scored in the first two quarters. The number of questions on a math test is represented by ( x ). The number of questions on a spelling test is represented by ( x ). PART A Write an expression, in terms of x, to find how many more questions were on the math test. points PART Write a linear expression in simplest form to represent the total points scored in the game. questions PART Evaluate the expression if the value of x is 8. questions points Simplify: (x 0y) + 0x Part C If the value of x is, what are the total points earned in all four quarters? points