# CK-12_Algebra_1_Second_Edition_Volume_2 by CK-12 Foundation

By CK-12 Foundation

CK-12’s Algebra I moment version is a transparent presentation of algebra for the highschool scholar. quantity 1 comprises the 1st 6 chapters and covers the subsequent subject matters: Equations and services, actual Numbers, Equations of traces, Graphs of Equations and features, Writing Linear Equations, and Linear Inequalities.

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Example 1 Determine which of the points (1, 3), (0, 2), or (2, 7) is a solution to the following system of equations: Solution To check if a coordinate point is a solution to the system of equations, we plug each of the and values into the equations to see if they work. Point (1, 3): Point (1, 3) is on the line , but it is not on the line , so it is not a solution to the system. Point (0, 2): Point (0, 2) is not on the line , so it is not a solution to the system. Note that it is not necessary to check the second equation because the point needs to be on both lines for it to be a solution to the system.

Peter can run at a speed of 5 feet per second and Nadia can run at a speed of 6 feet per second. To be a good sport, Nadia likes to give Peter a head start of 20 feet. How long does Nadia take to catch up with Peter? At what distance from the start does Nadia catch up with Peter? the point where the values for and satisfied both relationships. When the values for and are equal, that means that Peter and Nadia are at the same place at the same time. s a faster way than graphing to solve this system of equations.

Khan Academy Age Problems (7:13) Review Questions 1. Solve the system: 2. Solve the system: 3. Solve the system: 4. Nadia and Peter visit the candy store. 84. Peter also buys three candy bars, but can only afford one additional fruit roll-up. 79. What is the cost of a candy bar and a fruit roll-up individually? 5. A small plane flies from Los Angeles to Denver with a tail wind (the wind blows in the same direction as the plane) and an air-traffic controller reads its ground-speed (speed measured relative to the ground) at 275 miles per hour.

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