Algebra 1 Topic 1 Quantities and Modeling Addition

Algebra 1 Topic 1: Quantities and Modeling

Addition Property of Equality • •

Subtraction Property of Equality • •

Multiplication Property of Equality • •

Division Property of Equality • •

Constant Term A term in a function or expression that does not contain variables.

Coefficient A number multiplied by a variable.

Like Terms with the same variables raised to the same exponents.

Equation A mathematical sentence that shows that two expressions are equivalent.

Algebraic Expression An expression that contains at least one variable. •

Numerical Expression An expression that contains only numbers and operations. •

Solution to an Equation A value that makes the equation true. •

Formula A literal equation that states a rule for a relationship among quantities. •

Inequality An algebraic sentence comparing two quantities.

Addition/Subtraction Property of Inequality •

Multiplication Property of Inequality If both sides of an inequality are multiplied by the same positive quantity, the new inequality will have the same solution set. If both sides of an inequality are multiplied by the same negative quantity, the new inequality will reverse the inequality of the solution set.

Division Property of Inequality If both sides of an inequality are divided by the same positive quantity, the new inequality will have the same solution set. If both sides of an inequality are divided by the same negative quantity, the new inequality will reverse the inequality of the solution set.

Compound Inequality Two inequalities that are combined into one statement by the word and or or.

Reporting Category Practice Items Topic 1

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 1. 1 A. associative property of addition B. associative property of multiplication C. distributive property D. commutative property of addition D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 1. 1 A. distributive property B. associative property of addition C. associative property of multiplication D. commutative property of multiplication A

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 1. 1 D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 1. 1 D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 1. 1 A

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 Ernesto and his family have just finished dinner at a restaurant in a region where the meal tax is 6% of the price of the meal. Ernesto leaves an 18% tip. With tax and tip, the total cost is $72. 39. a) Write the equation that models this situation. sample: 0. 06�� + 0. 18�� + �� = 72. 39 a) Use your equation to find the price of the meal without tax or tip.

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 John has a baseball card collection that is worth $280. 00. He has 64 baseball cards from 1988. Each of the 1988 cards is worth $2. 30. He also has a set of 30 baseball cards from 1983. Each of the 1983 cards are worth the same amount. a) Write an equation to model this situation. Be sure to define your variables. a) What is the value of each baseball card from 1983?

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 100, 000=15, 000(5)+300��. 50, 000=3�� +10, 000(500). The price of a fighter plane is $15 million. The price of a ton of wheat is approximately $44. 67 90, 000=20(100, 000�� )+15, 000��.

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 No, she will run for 4. 5 hours and she needs to run for at least 9 hours and 5. 5 minutes.

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 You have a cell phone plan that allows for unlimited calling and 1000 text messages for $21. 25. Every text message over 1000 text messages will cost $0. 10 per text. Your parents will only pay up to $60 for your phone bill. a) Write an inequality to model this situation. Be sure to define your variable. a) How many text messages could you send each month?

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 Tony makes a phone call at a pay phone. The charge is 25 cents for the first four minutes, and 10 cents for each additional minute. Tony has $2. 10 in change in his pocket. Write an inequality that can be used to find m, the maximum number of minutes that Tony can talk on the phone. Solve this inequality algebraically to find the maximum number of whole minutes he can talk on the phone.

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 C

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 A

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 1 B

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3 D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3 D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3 B

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3 A

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3 D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3 C

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-REI. 2. 3 C

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 4 Which of the following operations will solve Ohm’s law, �� = ���� , for �� ? A. Subtract �� from both sides. B. Divide both sides by ��. C. Subtract �� from both sides. D. Divide both sides by ��. B

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 4 D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 4

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 4 A

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 4 C

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 4

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-SSE. 1. 1 Total number of ink orders over a one-month period. Total number of gallons ordered over a one-month period. Average number of gallons per order over a one-month period.

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-SSE. 1. 1

MAFS. 912. A-SSE. 1. 1 A certain vine grows at a rate of three inches per day. A researcher starts observing it when it is 27 inches long. a) Write an algebraic expression for the length, in feet, of the vine d days after the researcher start observing it. a) Interpret both of the factors in the variable term.

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-SSE. 1. 1 A

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-SSE. 1. 1 D

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 3 B

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 3 B

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 3 A

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 3 B

These items have been compiled and in some instances modified from various internet sources for the sole purpose of classroom use. MAFS. 912. A-CED. 1. 3 D