Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
BKL singularity wikipedia , lookup
Equation of state wikipedia , lookup
Maxwell's equations wikipedia , lookup
Euler equations (fluid dynamics) wikipedia , lookup
Derivation of the Navier–Stokes equations wikipedia , lookup
Schwarzschild geodesics wikipedia , lookup
Navier–Stokes equations wikipedia , lookup
Equations of motion wikipedia , lookup
Exact solutions in general relativity wikipedia , lookup
Name______________________ [ PACKET 3.3: SOLVING MULTI-STEP EQUATIONS ] 1 Write your questions here! Inverse Operations: ng ni s ar ne Le ho on dp a d e H se es t u h o c t Fo en w i with N rn t Lis erac t to Le a ed ! dy k rs t n I c tice C hec nsw e e Re a r A a u’ o Pr ble ms your l Y o Pr lua te t un ti a s Ev ’ t Te on D To solve equations with multiple steps, we combine like terms, use reciprocals, apply the distributive property and use inverse operations. Combine like-terms, first, if possible! Always try to simplify before solving, if possible! Solve the following equation by combining like terms first: Solve the following equations by using the distributive property: [ PACKET 3.3: SOLVING MULTI-STEP EQUATIONS ] Now, summarize your notes here! Solve the following equations by using a reciprocal: There are several ways to solve this equation. You decide for yourself the best method: 2 Algebra 1 Name___________________________________ Practice 3.3 .N Solve each equation. 1) xx 2) m 3) aa 4) x 5) (x) 6) ( p) 7) (k) Worksheet by Kuta Software LLC 8) -3- (x) 2 9) (v) 10) (n) 11) (a) 12) (a)a 13) (n) 14) (n) 15) (b) 16) (v) 17) (n) 18) (x) -4- Worksheet by Kuta Software LLC [PACKET 3.3: SOLVING MULTI-‐STEP EQUATIONS] 5 Application And Extension Solve the following equations for the unknown variable: 1. ! ! 𝑑 + 3 = 5 2. 23 = -‐4m + 2 + m Target Heart Rate The target heart rate is the heartbeat rate during aerobic exercise that provides a benefit to your heart. The target heart rate for a person exercising at 70% intensity is given by the equation y = 0.7(200 -‐ x) where y is the target heart rate in beats per minute and x is the person’s age in years. 3. How old is a person with a target heart rate of 133 beats per minute? 4. How old is a person with a target heart rate of 126 beats per minute? Quick Review 5. Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon around a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What is the height of the box? 1. Multiply: 2. Evaluate if x = -5 and y = -1 3 14 ∙ 2 15 -x - y 3. Simplify: −2 − 35 + 36 −4 + 5 Coming Up 3. Plot (3, 0) 1. Distribute: - (-x - 1) 2. Simplify: -x – (y – 3x)