Fair Game Review. Chapter. Complete the statement qt L cm = in grams oz ml cups
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1 Name Date Chapter 1 Complete the statement. Fair Game Review 1. 5 qt L. 5 cm = in ml cups grams oz 5. A can of orange juice is 1 ounces. How many grams is the can of orange juice? 6. A recipe calls for 100 milliliters of water. How many cups of water does the recipe call for? 7. You buy a 5-pound bag of dog food. How many kilograms of dog food did you buy? Copyright Big Ideas Learning, LLC Big Ideas Math Blue 1
2 Name Date Chapter 1 Evaluate the expression. 8. Fair Game Review (continued) A recipe calls for 1 teaspoon of salt for the batter and 1 teaspoon of salt for 8 the topping. How much salt is used in the entire recipe? 13. You have 3 4 cup of flour. The recipe calls for cups of flour. How much more flour do you need to make the recipe? Big Ideas Math Blue Copyright Big Ideas Learning, LLC
3 Name Date 1.1 Solving Simple Equations For use with Activity 1.1 Essential Question How can you use inductive reasoning to discover rules in mathematics? How can you test a rule? 1 ACTIVITY: Sum of the Angles of a Triangle Work with a partner. Use a protractor to measure the angles of each triangle. Complete the table to organize your results. a. b. B A B A C C c. d. C B A C B A Triangle Angle A (degrees) Angle B (degrees) Angle C (degrees) A + B + C a. b. c. d. Copyright Big Ideas Learning, LLC Big Ideas Math Blue 3
4 Name Date 1.1 Solving Simple Equations (continued) ACTIVITY: Writing a Rule Work with a partner. Use inductive reasoning to write and test a rule. a. Use the completed table in Activity 1 to write a rule about the sum of the angle measures of a triangle. b. TEST YOUR RULE Draw four triangles that are different from those in Activity 1. Measure the angles of each triangle. Organize your results in a table. Find the sum of the angle measures of each triangle. 4 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
5 Name Date 1.1 Solving Simple Equations (continued) 3 ACTIVITY: Applying Your Rule Work with a partner. Use the rule you wrote in Activity to write an equation for each triangle. Then, solve the equation to find the value of x. Use a protractor to check the reasonableness of your answer. a. b x 43 x c. d x x What Is Your Answer? 4. IN YOUR OWN WORDS How can you use inductive reasoning to discover rules in mathematics? How can you test a rule? How can you use a rule to solve problems in mathematics? Copyright Big Ideas Learning, LLC Big Ideas Math Blue 5
6 Name Date 1.1 Practice For use after Lesson 1.1 Solve the equation. Check your solution. 1. x + 5 = = w z = 4 6 k 4. 3y = = n = x 1 6 = = 15 h 9. ( ) p = A coupon subtracts $5.16 from the price p of a shirt. You pay $15.48 for the shirt after using the coupon. Write and solve an equation to find the original price of the shirt. 11. After a party, you have 1 6 of the cookies you made left over. There are a dozen cookies left. How many cookies did you make for the party? 6 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
7 Name Date 1. Solving Multi-Step Equations For use with Activity 1. Essential Question How can you solve a multi-step equation? How can you check the reasonableness of your solution? 1 ACTIVITY: Solving for the Angles of a Triangle Work with a partner. Write an equation for each triangle. Solve the equation to find the value of the variable. Then find the angle measures of each triangle. Use a protractor to check the reasonableness of your answer. a. b. n (x + 10) n 4 x (x + 5) c. d. 3q q m q (m + 10) m e. f. (y 30) y (t ) t Copyright Big Ideas Learning, LLC Big Ideas Math Blue 7
8 Name Date 1. Solving Multi-Step Equations (continued) ACTIVITY: Problem Solving Strategy Work with a partner. The six triangles form a rectangle. t x p f n Find the angle measures of each triangle. Use a protractor to check the reasonableness of your answers. w x n p m n y (t + 5) k p s m n 3 ACTIVITY: Puzzle Work with a partner. A survey asked 00 people to name their favorite weekday. The results are shown in the circle graph. a. How many degrees are in each part of the circle graph? Favorite Weekday b. What percent of the people chose each day? Monday Tuesday x x 3 Wednesday x 3x c. How many people chose each day? Friday Thursday 8 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
9 Name Date 1. Solving Multi-Step Equations (continued) d. Organize your results in a table. What Is Your Answer? 4. IN YOUR OWN WORDS How can you solve a multi-step equation? How can you check the reasonableness of your solution? Copyright Big Ideas Learning, LLC Big Ideas Math Blue 9
10 Name Date 1. Practice For use after Lesson 1. Solve the equation. Check your solution. 1. 3x 11 =. 4 10b = z + 1.z 6.5 = w w 4 = ( a + 7) 7 = 9 6. ( q ) = 1 7. Find the width of the rectangular prism when the surface area is 08 square centimeters. 8 cm 6 cm w 8. The amount of money in your savings account after m months is represented by A = 135m + 5. After how many months do you have $765 in your savings account? 10 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
11 Name Date 1.3 Solving Equations with Variables on Both Sides For use with Activity 1.3 Essential Question How can you solve an equation that has variables on both sides? 1 ACTIVITY: Perimeter and Area Work with a partner. Each figure has the unusual property that the value of its perimeter (in feet) is equal to the value of its area (in square feet). Write an equation (value of perimeter = value of area) for each figure. Solve each equation for x. Use the value of x to find the perimeter and area of each figure. Check your solution by comparing the value of the perimeter and the value of the area of each figure. a. b. 3 x x 4 c. d. x 18 5 x Copyright Big Ideas Learning, LLC Big Ideas Math Blue 11
12 Name Date 1.3 Solving Equations with Variables on Both Sides (continued) e. 1 f. 4 3 x + 1 x x 1 g. 3x 3 1 x x ACTIVITY: Surface Area and Volume Work with a partner. Each solid on the next page has the unusual property that the value of its surface area (in square inches) is equal to the value of its volume (in cubic inches). Write an equation (value of surface area = value of volume) for each figure. Solve each equation for x. Use the value of x to find the surface area and volume of each figure. Check your solution by comparing the value of the surface area and the value of the volume of each figure. 1 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
13 Name Date 1.3 Solving Equations with Variables on Both Sides (continued) a. b. x x 3 ACTIVITY: Puzzle Work with a partner. The two triangles are similar. The perimeter of the larger triangle is 150% of the perimeter of the smaller triangle. Find the dimensions of each triangle. 10 x x What Is Your Answer? 4. IN YOUR OWN WORDS How can you solve an equation that has variables on both sides? Write an equation that has variables on both sides. Solve the equation. Copyright Big Ideas Learning, LLC Big Ideas Math Blue 13
14 Name Date 1.3 Practice For use after Lesson 1.3 Solve the equation. Check your solution. 1. x + 16 = 9x. 4y 70 = 1y ( p + 6) = 8p 4. 3( g 7) = ( 10 + g ) n = 9.5 4n w 11 = w One movie club charges a $100 membership fee and $10 for each movie. Another club charges no membership fee but movies cost $15 each. Write and solve an equation to find the number of movies you need to buy for the cost of each movie club to be the same. 8. Thirty percent of all the students in a school are in a play. All students except for 140 are in the play. How many students are in the school? 14 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
15 Name Date 1.3b Practice For use after Lesson 1.3b Solve the equation. 1. x = x x = 4x + = 4. 3 ( x + 1) = 3 ( x 4) 3. 7x 5 7x 1 5. x 4 x 4 + = + 6. ( x ) 5 + = 5x 10 Copyright Big Ideas Learning, LLC Big Ideas Math Blue 14A
16 Name Date 1.3b Practice (continued) ( x + 5) = ( 4x + 5) 8. ( 36 4x) = ( 9 6x) 9. 7x 9 5x 7 = ( x ) = 4x Are there any values of x for which the perimeters of the figures are the same? Explain. 4 in. 5 in. x in. 3 in. (x + ) in. 14B Big Ideas Math Blue Copyright Big Ideas Learning, LLC
17 Name Date 1.4 Rewriting Equations and Formulas For use with Activity 1.4 Essential Question How can you use a formula for one measurement to write a formula for a different measurement? 1 ACTIVITY: Using Perimeter and Area Formulas Work with a partner. a. Write a formula for the perimeter P of a rectangle. Solve the formula for w. Use the new formula to find the width of the rectangle. w P = 19 in. = 5.5 in. A = 10 in. h b = 5 in. b. Write a formula for the area A of a triangle. Solve the formula for h. Use the new formula to find the height of the triangle. c. Write a formula for the circumference C of a circle. Solve the formula for r. Use the new formula to find the radius of the circle. r C = 8 π cm Copyright Big Ideas Learning, LLC Big Ideas Math Blue 15
18 Name Date 1.4 Rewriting Equations and Formulas (continued) Write a formula for the area A. Solve the formula for h. Use the new formula to find the height. d. b = 4 in. e. A = 15 in. h h A = 56 m B = 6 in. b = 8 m ACTIVITY: Using Volume Formulas Work with a partner. a. Write a formula for the volume V of a prism. V = 60 in. 3 Solve the formula for h. Use the new formula to find the height of the prism. h B = 1 in. 16 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
19 Name Date 1.4 Rewriting Equations and Formulas (continued) Write a formula for the volume V. Solve the formula for B. Use the new formula to find the area of the base. b. c. V = 48 ft 3 V = 48 π cm 3 h = 9 ft h = 1 cm B B d. Write a formula for the volume V of a cone. Solve the formula for h. Use the new formula to find the height of the cone. V = 18 π m 3 h B = 9 π m What Is Your Answer? 3. IN YOUR OWN WORDS How can you use a formula for one measurement to write a formula for a different measurement? Give an example that is different from the examples on these three pages. Copyright Big Ideas Learning, LLC Big Ideas Math Blue 17
20 Name Date 1.4 Practice For use after Lesson 1.4 Solve the equation for y. 1. x + y = 9. 4x 10y = = y + x 6 Solve the equation for the bold variable. 4. V = w h 5. 1 f = ( r + 6.5) 6. S = πr + πrh 7. The formula for the area of a triangle is 1 A = bh. a. Solve the formula for h. b. Use the new formula to find the value of h. A = 54 in. h 1 in. 18 Big Ideas Math Blue Copyright Big Ideas Learning, LLC
21 Name Date 1.5 Converting Units of Measure For use with Activity 1.5 Essential Question How can you convert from one measurement system to another? 1 ACTIVITY: Converting Units of Measure Work with a partner. Complete the table. Describe the pattern in the completed table. Perimeter, in. to ft ratio Area, in. to ft ratio a. 1 ft 1.5 ft in. ft = 1 in. 1 ft in. ft = 144 in. 1 ft b. 8 in. 10 in. 6 in. in. ft = in. ft = c. 1 ft in. ft = in. ft = d. 1 ft ft ft in. ft = in. ft = e. 5 in. 4 in. 5 in. 8 in. in. ft = in. ft = Copyright Big Ideas Learning, LLC Big Ideas Math Blue 19
22 Name Date 1.5 Converting Units of Measure (continued) ACTIVITY: Comparing Units of Measure Work with a partner. Name the units for each pair of rulers. a b c Big Ideas Math Blue Copyright Big Ideas Learning, LLC
23 Name Date 1.5 Converting Units of Measure (continued) 3 ACTIVITY: Puzzle Who is correct, Fred or Sam? Explain your reasoning. John said, We left camp this morning, and walked 1 mile due south. Then, we saw a polar bear and turned due east and ran 1 kilometer. Finally, we turned due north and walked 1 mile and ended back at camp. Fred said, That is not possible! Sam explained, Yes it is. And I know exactly where the camp was. What Is Your Answer? 4. IN YOUR OWN WORDS How can you convert from one measurement system to another? The examples on these three pages are measurements of length and area. Describe a conversion between two types of temperature units. Copyright Big Ideas Learning, LLC Big Ideas Math Blue 1
24 Name Date 1.5 Practice For use after Lesson 1.5 Complete the statement m ft. 3 cm in qt L mi km 5. h h 5 gal qt = 6. min sec 1000 m km = sec min in. ft ft yd m = cm 10. Your doctor prescribes you to take 400 milligrams of medicine every 8 hours. How many ounces of medicine do you take in a day? 11. In Canada, a speed limit is 100 kilometers per hour. What is the speed limit in miles per hour? Big Ideas Math Blue Copyright Big Ideas Learning, LLC
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