Pre-algebra Units 1-4 Tests PDF

Unit 1 Test Name:______________________________________ Transformations Period:_____________ BASIC 85% 1. Here are four pairs of figures. Circle t...

Unit 1 Test Name:______________________________________ Transformations Period:_____________ BASIC 85% 1. Here are four pairs of figures. Circle the correct answer below each image. (4 points) 1.1) Which single 1.2) Which single 1.3) Which single 1.4) Which single transformation takes transformation transformation transformation figure E to figure F? takes figure G to figure H? takes figure J to figure K? takes figure L to figure M? A. Translation A. Translation A. Translation A. Translation B. Rotation B. Rotation B. Rotation B. Rotation C. Reflection C. Reflection C. Reflection C. Reflection 2. Circle all the pairs of congruent figures. (4 points) 3. Point A is located at coordinates ( – 4, 3 ). (6 points) What are the coordinates of each point described in the table? INTERMEDIATE 10% 4. Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B. (4 points) ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ 5. Please complete the transformations described below. (8 points) 5.1) Reflect figure ABCD across line l. 5.2) Rotate figure ABCD 90 degrees Label the image A’B’C’D’. clockwise around point C. Label the image A’B’C’D’. 6. Which of these sequences of transformations does not return a shape to its original position? (4 points) ▢ Translate 3 units up, then 3 units down. ▢ Reflect over line 𝑝, then reflect over line 𝑝 again. ▢ Translate 1 unit to the right, then 4 units to the left, then 3 units to the right. ▢ Rotate 120° counterclockwise around center 𝐶. Then rotate 120° counterclockwise around 𝐶 again. ADVANCED 5% 7. Describe a sequence of transformations (with details) that take ABCD to A’B’C’D’. I should be able to follow your directions to go from ABCD to A’B’C’D’. (8 points) 8. First, rotate figure ABCD 180 degrees around point P. Then, reflect A’B’C’D’ across the line that goes through A’ and D’. Label the final figure A’’B’’C’’D’’. On my honor, I have neither given nor received help on this test. _________________________________________________________ signature Notes about this test: 1. #3 should be intermediate rather than basic 2. The Basic ones can really hurt them if they make a mistake. Hmmmm….. 3. Do we REALLY want #1 and #2, then, to count for 85%? 4. Should basic be 80% and Intermediate be 15%? 5. The advanced ones are pretty easy if we use tracing paper. Maybe make those harder? How? 6. coordinates were difficult for a few 7. more practice where they have to ‘create’ a line or point to give directions 8. Unit 2 Test NAME:___________________________________ Dilations, Similarity, and Slope Period:_____ You MAY use a calculator, but show all thinking on paper. BASIC (80%) _____/25 1. Which statement(s) is true? You may choose more than one. (4 points) A. Dilations of a triangle keep angle measures the same. B. Dilations of a triangle keep side lengths the same. C. Dilations of a triangle must be congruent to the original triangle. D. Dilations of a triangle always make the sides longer. 2. Triangles ABC and DEF are similar. Determine the exact lengths of segments DF and EF. (4 points) 3. Circle all of the polygons that are similar to polygon A. (5 points)  5 4. Which line has a slope of 2 ? Circle your choice on the grid below. (4 points) 5. Describe a sequence of transformations that takes Polygon A to Polygon G. Add anything you need to the graphs in order to explain thoroughly. (4 points) 6. Triangle 𝐸𝐹𝐺 is a dilation of triangle 𝐴𝐵𝐶 with center 𝐵 and a scale factor of 3. Draw triangle 𝐸𝐹𝐺. (4 points) INTERMEDIATE (15%) _____/21 7. Draw the image of quadrilateral PQRS under the following dilations: 7.1 Centered at O with a scale factor of 1.5. Label the image P’Q’R’S’. (4 points) 7.2 Centered at P with a scale factor of ½. Label the image P”Q”R”S”. (4 points) 8. Here is Triangle 1. Triangle 2 also has a 30º angle. (4 points) Explain or show why Triangle 1 and Triangle 2 might NOT be similar to each other. 9. All of the points in the graph are on the same line. Show your work to justify your answers. Determine the slope of the line. (3 points) Determine values for a and b. (4 points) What is the y-coordinate when x = 0? (2 points) ADVANCED (5%) _____/9 10. Quadrilateral ABCD is dilated using C as the center. The coordinates for point B’ in the image are (4,11). What is the scale factor? (2 points) 11. Describe what happens to a pre-image when it is dilated with a scale factor of -3. Use the grid below if it is helpful. (2 points) 12. Use the line graphed at right. 12.1 What is the slope of the line? (3 points) 12.2 Is the point (21,12 ) on the line? Explain your answer. (2 points) Pledge: I have neither given nor received unauthorized assistance on this assignment. Signed: ________________________________________ Unit 3 Test NAME:___________________________________ Proportional and Linear Relationships Period:_____ You MAY use a calculator, but show all of your thinking on paper. BASIC (80%) _____/29 1. Select all equations whose graphed lines have the same y-intercept. (5 points) 𝑦 = 2𝑥 + 5 𝑦 = 2𝑥 + 3 1 𝑦 = 2 𝑥 + 5 𝑦 = 5 + 4𝑥 𝑦 = 13 + 5𝑥 2. Under each graph, write the letter of the scenario that matches the graph. (4 points) A. y is the distance left to go on a flight after x hours of flying at a constant rate. B. y is the temperature in º C while x is the equivalent temperature in º F. C. y is the weight of a baby x days after birth. D. y is the amount of calories consumed by drinking x ml of a milkshake. _______ _______ _______ _______ 3. a) Graph the line whose x-intercept is -2 and the y-intercept is 5. (3 points) b) Write the equation for the line. ____________________ (3 points) 4. This graph shows the line 2x + 4y = 20. (5 points) Select all of the points that are on the line. 5. This graph shows the highest temperature each day for two weeks in Memphis and Phoenix. Which statement is true? (4 points) A. The highest temperature in Phoenix was never the same as the highest temperature in Memphis. B. The highest temperature in Memphis decreased steadily. C. Initially, the highest temperature was warmer in Phoenix than in Memphis. D. The highest temperature in Memphis increased each day. 6. Find the slope of each line given. (4 points) a) (0, 4) and (-15, 4) m = __________ b) (8, 2) and (4, 9) m = ___________ 7. Fill in the circles for each graph that could represent a proportional relationship. (4 points) INTERMEDIATE (15%) ____/26 8. One day, three runners ran 10 miles, each at their own constant speed. Which runner ran the fastest? (4 points) Explain your thinking. 9. The prices of blueberries and raspberries represent proportional relationships and raspberries cost twice as much as blueberries. (4 points) Select all of the graphs that could represent the cost of raspberries and blueberries. 10. Write an equation for each line. (8 points) 11. A cell phone plan costs $200 to start. Then, there is a $50 charge each month. a) Write an equation relating the (3 points) total cost, y, to use the cell phone plan for x months. b) Make a graph of the cost of the cell phone plan over two years (24 months). (4 points) c) A new cell phone plan costs $100 to start. Then there is a $50 charge each month. Describe how the graph of this new plan would be the same and how it would be different from the original. (3 points) ADVANCED (5%) ____/16 𝑥−2 2 12. A line is represented by the equation 𝑦 = 11. Give the coordinates of any two points that lie on the line. (4 points) (______, ______) and (______, ______) 13. Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. After how many weeks do they have the same amount of money? (4 points) 14. The graphs below show some data from a coffee shop menu. One of the graphs shows Cost (in dollars) vs. Drink Volume (in ounces), and one of the graphs shows Calories vs. Drink Volume (in ounces). a)__________ vs. Volume a) ___________ vs. Volume a) Which graph is Cost vs. Volume and which graph is Calories vs. Volume? Label the titles above the graphs. (2 points) b) Which quantities appear to be in a proportional relationship? Cost vs. Volume Calories vs. Volume (3 points) Explain how you know. c) For the proportional relationship, find the constant of proportionality. _______ What does that number mean? (3 points) PLEDGE: On my honor, I have neither given nor received help on this test/assignment. Signed:_________________________  Unit 4 TEST NAME:_______________________________ You MAY use a calculator. Period:___________ Grade: _______ % BASIC (80%) ____/31 1. Here is a balanced hanger diagram. A circle weighs 3 grams and a square weighs 2 grams. What is the weight of a triangle? (6 points) 2. A system of two equations has the solution (6,2). Here is a graph of one of the equations. What could the other equation be? (4 points) 3. Which system of equations has exactly one solution? (5 points) Explain your thinking: 4. Show the steps to solve each of the following equations: 2x - 4 = 5 - 3x (4 pts) 3x + 30 + x = 10 + 2x + 5x + 2 (6 pts) 3(x - 7) = 2(x - 12) (6 points) INTERMEDIATE (15%) ____/22 5. Solve the equation for x: 5 - (x - 2) = - 4(x - 1) + 2x (7 pts)  6. Josiah and Kiri are each saving money. Josiah starts with $100 in savings and saves $5 per week. Kiri starts with $40 in savings and saves $10 each week. After 4 weeks, who has more money in savings? (5 points) Explain your thinking. Answer the following question in two ways, using a graph and using algebra: After how many weeks will Josiah and Kiri have the same amount of money in savings? Graph: (5 points) Algebra: (5 points) ADVANCED (5%) ____/18 7. Solve for x: (6 points) 2 1 3 (2x + 5) = 6 (4 - x) + 2  8. Tay is making jam. Tay used 52 pieces of fruit altogether. Their recipe calls for 3 strawberries for each apple. Complete the table so that each row matches Tay’s recipe. (4 points) Write two equations, where 𝑥 is the number of apples and 𝑦 is the number of strawberries: (4 points) How many apples and strawberries did Tay use? (4 points) Show or explain your reasoning. Pledge: On my honor, I have neither given nor received unauthorized help on this assessment. Signed:___________________________