Chapter 4 Test Review Questions - Miss Holdman's Math …

1 Chapter 4 Test Review Questions 1) Simplify each expression by combining like terms. a) 2 ! 5+3 4+( !) 5 ( ) b) ! 2 +14 3 6 ! c) !+ 8 4 +1 ( 6 !)+2 ( 3 ) d) 4 !+ 15 +3 7 ! e) 3 ! 2 5 +7+( !)+ ( 4 ) f) 2 !+3 +18 3 ! 2) Simplify each expression by using the distributive property. a) 46 9= b) 3 +7= c) 25 3= d) 82 6= e) 5 12= f) 9 +3= 3) Similar Figures and Scale Factor a) Determine the new side lengths of a triangle with side lengths of cm, cm and cm. It is enlarged using a scale factor of three. What is the perimeter of the new triangle? b) Determine the new side lengths of a rectangle with side lengths of m and m. It is enlarged using a scale factor of five. What is the perimeter of the new rectangle? c) Determine the new side lengths of a triangle with side lengths of in, in and in.

2 It is shrunk using a scale factor of one-third. What is the perimeter of the new triangle? Chapter 4 Test Review Questions d) Determine the new side lengths of a rectangle with side lengths of ft and ft. It is shrunk using a scale factor of one-half. What is the perimeter of the new rectangle? e) Determine the new side lengths of a triangle with side lengths of yd, yd and yd. It is enlarged using a scale factor of two. What is the perimeter of the new triangle? f) Determine the new side lengths of a rectangle with side lengths of mm and mm. It is enlarged using a scale factor of four. What is the perimeter of the new rectangle? 4) Simplify each integer expression. a) 24+7= b) 17 9= c) 42+ 15= d) 12 8= e) !!"!!= f) 382= g) 17+9= h) 16 4= i) 12+ 23= j) 6 11= k) !!"!!

3 "= l) 58 5= 5) Simplify each expression using order of operations (PEMDAS). a) 9 ( 2) 6 2! 5(12) b) !! !!(!!!!)!"!!!!!!! c) (4+3)!+( 15)+6!+8(2) d) ! !!!"!!!!!"!!!! Chapter 4 Test Review Questions e) 21 8 4 2! 9(3) f) !!" !(!"!(!!))!!!!!!!(!!") g) 7+6! 13+2!+6(4) h) !" !!!(!!(!!))!!!!(!!"!!) 6) Unit Rate & Proportional Relationships. a) Hayley babysits for 14 hours one week and earns $154. Find the constant of proportionality or unit rate. b) Justin earned $156 for shoveling snow in December. He worked for 13 hours. Find the constant of proportionality or unit rate. c) Sarah babysits for 17 hours one week and earns $221. Find the constant of proportionality or unit rate. d) Josh earned $144 for shoveling snow in December. He worked for 16 hours. Find the constant of proportionality or unit rate.

4 E) Melanie babysits for 8 hours one week and earns $112. Find the constant of proportionality or unit rate. f) Adam earned $105 for shoveling snow in December. He worked for 7 hours. Find the constant of proportionality or unit rate. Chapter 4 Test Review Questions 7) Proportional Relationship Tables. a) Fill in the rest of the table. Is this a proportional relationship? Explain. X -1 0 1 2 3 4 Y 4 12 16 b) Fill in the rest of the table. Is this a proportional relationship? Explain. X -1 1 3 5 7 9 Y 5 9 13 c) Fill in the rest of the table. Is this a proportional relationship? Explain. X 0 1 2 3 4 5 Y 3 6 12 d) Fill in the rest of the table. Is this a proportional relationship? Explain. X 2 3 4 5 6 7 Y 6 12 14 e) Fill in the rest of the table. Is this a proportional relationship? Explain.

5 X 0 1 2 3 4 5 Y -4 -2 4 f) Fill in the rest of the table. Is this a proportional relationship? Explain. X 1 2 3 4 5 6 Y -5 0 10 Chapter 4 Test Review Questions 8) Proportional Relationship Graphs. a) Plot the following points and connect them with a line (don t forget the arrows). Is this a proportional relationship? Explain. x y 0 0 1 3 2 6 b) Plot the following points and connect them with a line (don t forget the arrows). Is this a proportional relationship? Explain. x y -2 -8 0 -4 2 0 c) Plot the following points and connect them with a line (don t forget the arrows). Is this a proportional relationship? Explain. x y -8 9 -4 4 0 -1 d) Plot the following points and connect them with a line (don t forget the arrows). Is this a proportional relationship? Explain. x y -3 3 -1 1 1 -1 e) Plot the following points and connect them with a line (don t forget the arrows).

6 Is this a proportional relationship? Explain. x y 0 0 2 -6 4 -12 ` f) Plot the following points and connect them with a line (don t forget the arrows). Is this a proportional relationship? Explain. x y -1 0 0 4 1 8