Grade 7: Chapter 1 Practice Test & Vocabulary Review

Transcription

1 Name: Date: Class: Grade 7: Chapter 1 Practice Test & Vocabulary Review 1) Find the unit rate: breaks in hours 2) Find the unit price: for CDs 3) During Tracy s trip across the country, she traveled 2,884 miles. Her trip took 7 days. Find a unit rate to represent the average miles she traveled per day during the trip. 4) Steve was offered $5,025 per year for a weekend lifeguarding job at a local pool. He wants to know how much his monthly income will be at this salary level. What is his rate of pay in dollars per month? 5) An 8-ounce can of tomatoes costs. A ounce can costs. Which can of tomatoes costs the least per ounce? 6) Bargains R Us store offers a roll package of toilet paper for. The roll package is on sale for. Which is the best buy?

2 7) Simplify (keep in fractional form): 8) Simplify (keep in fractional form): 9) Caroline drove miles to her grandmother s house. The trip took her hours. What was her average speed in miles per hour? 10) Russell runs mile in 5 minutes. How many miles does he run in one minute? 11) A chicken can run at a top speed of miles per hour. Find the top speed of a chicken in miles per minute. Round to the nearest tenth. 12) Convert feet per minute to feet per second.

3 13) Use the table to determine if the relationship is proportional or not. Explain. Number of Hours Number of Pages Read in Book 14) Use the table to determine if the relationship is proportional or not. Explain. Number of Hours Total Amount Earned 15) If Stephanie sells 3 necklaces, she earns a profit of $5. If she sells 4 necklaces, her profit is $10. Five necklaces sold gives her a profit of $15 and six necklaces sold gives her a profit of $20. Determine whether the amount of profit is proportional to the number of necklaces sold. Explain. 16) Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours. Determine whether the number of cakes baked is proportional to the number of hours. Explain.

4 17) Determine if and form a proportion. 18) Solve the proportion: 19) Solve the proportion: 20) The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line? 21) Of the 50 fish that Alan caught from the lake, 14 were trout. The estimated population of the lake is 7,500 fish. About how many trout would you expect to be in the lake? 22) Find the constant rate of change for the table shown. Time Spent Mowing (h) Money Earned ($)

5 23) Find the constant rate of change for the graph. 24) Determine whether the linear function is a direct variation. If so, state the constant of proportionality. Speed, x Distance, y ) Graph the data. Then find the slope. Explain what the slope represents. Hours Wages ($) ) The graph shows the average speed of two gokarts in a race. What does the point (2, 20) represent on the graph? What does the point (1, 12) represent on the graph? What does the slope of each line represent? Which car is traveling faster?

6 Vocabulary Matching: Fill in each blank with the correct term. You may use the terms more than once. complex fraction constant of proportionality constant of variation constant rate of change coordinate plane cross products dimensional analysis direct variation equivalent ratios nonproportional proportion proportional rate of change slope unit rate unit ratio 27) If two quantities are they have a constant ratio. 28) Two ratios that have the same value are called. 29) To determine whether two ratios form a proportion you can find their. 30) The rate that describes how one quantity changes in relation to another is called the. 31) is the ratio of vertical change to horizontal change. 32) The rate for one unit of a given quantity is called the. 33) The relationships between two ratios with a rate or ratio that is not constant is called. 34) is the process of including units of measurement when you compute. 35) The rate of change in a linear relationship is referred to as the. 36) A plane in which a horizontal number line and a vertical number line intersect at their zero points is called a(n). 37) A(n) is a unit rate where the denominator is one unit. 38) The constant ratio in a direct variation is called the. 39) A fraction where and/or are fractions and does not equal zero is called a. 40) A(n) is the relationships between two variable quantities that have a constant ratio. 41) A constant ratio or unit rate of two variable quantities is called the. 42) A(n) is an equation stating that two ratios or rates are equivalent.