Pre-Algebra Semester 1 Final Exam Study Guide PDF

# Pre-Algebra Semester 1 Final Exam Study Guide ## Name: ## Pd: ### Use the following table about adults to answer questions 1 and 2: | | Likes traveling | Dislikes traveling | |----------|-----------------|-------------------| | Has been to another country | 20 | 8...

# Pre-Algebra Semester 1 Final Exam Study Guide ## Name: ## Pd: ### Use the following table about adults to answer questions 1 and 2: | | Likes traveling | Dislikes traveling | |----------|-----------------|-------------------| | Has been to another country | 20 | 8 | | Has **NOT** been to another country | 5 | 17 | **1)** What is the relative frequency of adults who have been to another country and dislike traveling to the total number of adults who have been to another country? **2)** Write two different valid conclusions about the data from the given two-way table. **3)** Which of the following is an irrational number? - A) -175 - B) 13/37 - C) √60 - D) 17.0824 **4)** Which number set is ordered least to greatest? - A) √2, 1 - B) 1, √2, 3/5 - C) √3, 2 , 5/9, 12 - D) √3, 2 **5)** Select the simplified form of the expression: -81/225 - A) -01296 - B) - .36 - C) 3/5 (40/32) **6)** The area of a square bedroom is 225 ft². What is the perimeter of the room? - A) 60 ft - B) 30 ft - C) 50 ft - D) 100ft ## Name: ## Pd: **7)** Approximate each square root and appropriately place it on the number line. ``` -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 ``` - A) -√17 - B) √17 - C) √15 - D) -√13 **8)** What is the solution to the following equations? - 1/4 (x + 16) = 6 - 8t + 6 = 28 + t **9)** What is the solution to the following equation? 4y - 3 = 27 + y **10)** Solve the following equation: 30 = 1/4m - 22 **11)** Write and equivalent equation, then solve. 4(g + 6) = 5(g - 12) - 8 **12)** Solve the inequality: -20 ≥ 5x - 10 **13)** Find the shortest distance from Chandler to Glendale. Round to the nearest tenth if necessary. Chandler --- 25 miles --- Ahwatukee --- 80 miles --- Glendale If Brunswick, Hilltown, and Kenton form a right angle. What is the shortest distance between Hilltown and Kenton? Round to the nearest tenth. ## Name: ## Pd: **14)** Determine the distance between each set of ordered pairs. a. A (4, 8) and B (7, 4) b. A (-5,5) and C (3, -4) ``` 8 7 B 6 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 ``` **15)** Determine the missing side length for each triangle. (not drawn to scale) - 16 cm --- 10 cm --- 6 in --- 6 in **16)** Johnathan is playing soccer. The ball has a radius of 8 inches. What is the volume of the air inside the ball? **17)** Determine the volume for each cylinder. Leave in terms of pi. --- 20 ft --- 18 ft **18)** A can has a height of 21cm and a diameter of 16cm. What is the volume of the liquid in the can in terms of pi? - A) 1344π cm³ - B) 336πcm³ - C) 5376cm³ - D) 168cm³ **19)** Determine the volume for the cone. Round your answer to the nearest tenth if necessary. ``` 7 18 ``` Find the volume with radius 4 cm and height 8 cm. ## Name: ## Pd: **20)** If the m∠5 is 75°, determine the measurements of all other angles. Color each congruent angle the same color. ``` 1 2 3 4 5 6 7 8 ``` In the figure below, which of the following angles is congruent to ∠6? Select all that apply. ``` t 1/2 3/4 5/6 7/8 m ``` - A) ∠1 - B) ∠2 - C) ∠3 - D) ∠4 - E) ∠5 - F) ∠6 - G) ∠7 **21)** Determine the value of x in each shape. (not drawn to scale) - 2x --- (x - 2)° --- AAA --- 45° --- (3x + 25) --- 20° --- 50 --- 17° --- 80° **22)** Determine the value of x in each shape. (not drawn to scale) - (x + 10)° --- 154° --- 40° --- x° --- 100° **23)** Use the given diagram to determine what type of angle pair describes the relationship between each set of angles. a. m∠3 and m∠6 b. m∠1 and m∠2 c. m∠4 and m∠8 d. m∠6 and m∠7 ``` 1 2 3 4 5 6 7 8 ``` a. Which type of angles describes the relationship between ∠4 and ∠5? A) Alternate interior angles B) Supplementary angles C) Corresponding angles D) Alternate exterior angles **24)** Determine the value of each variable using the given diagram. ``` t 86° a (6y + 10)° b (3x + 2)° ``` **25)** Translate each shape on the graph. (x, y) -> (x + 3, y - 2) ``` B A C T S U V ``` **26)** Rotate the shape clockwise 90°, then 180°, then 270° about the origin. List the original and new ordered pairs for point R and write the rule for each. | Original | New | Rule | |---|---|---| | 90° | (2, 3) | (x, y) | | 180° | (2, 3) | (x, y) | | 270° | (2, 3) | (x, y) | ``` R K G ``` Which transformations describe the congruent figures below? ``` A B C F D E ``` - A) Rotation 270° clockwise - B) Reflection over the y-axis and translation to the right - C) Rotation 90° counterclockwise, reflection, translation - D) Rotation 270° clockwise then translation to the right and up ## Name: ## Pd: **27)** Jade is enlarging a figure that is 4 inches by 6 inches using a scale factor of 2. Which of the following are true? - A) The perimeter of the new figure will be 8 times larger than the original. - B) The area of the new figure will be 6 times larger than the original. - C) The original figure has an area that is 1/2 of the new figure. - D) The new area of the new figure will be 4 times larger than the original. **28)** Rotate the shape 90° counterclockwise then reflect across the x-axis. List the new points: ``` R K G ``` **29)** The triangles are similar. Which series of transformations map ∆ABC onto ACDE? ``` A C B O C D E ``` - A) Translation then rotation - B) Translation then dilation - C) Rotation then dilation - D) Reflection then dilation **30)** For the set of similar triangles, find the missing side lengths. ``` y cm 5 cm 3.5 cm 8 cm x cm 7 cm ```