Algebra 1 Unit 1 Mid-Unit Review. Algebra 1 – Unit 1: Mid Unit Review Joan makes a tile pattern out of blue triangles. The first three stages of her pattern.

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Presentation transcript:

Algebra 1 Unit 1 Mid-Unit Review

Algebra 1 – Unit 1: Mid Unit Review Joan makes a tile pattern out of blue triangles. The first three stages of her pattern are shown below. Stage 1 Stage 2 Stage 3 1.Extend the pattern and sketch Stage 4.

Algebra 1 – Unit 1: Mid Unit Review Joan makes a tile pattern out of blue triangles. The first three stages of her pattern are shown below. Stage 1 Stage 2 Stage 3 1.Extend the pattern and sketch Stage 4. ANSWER Stage 3

Algebra 1 – Unit 1: Mid Unit Review Joan makes a tile pattern out of blue triangles. The first three stages of her pattern are shown below. Stage 1 Stage 2 Stage 3 2. Complete the table and write a recursive rule for the number of tiles. Stage# of Tiles

Algebra 1 – Unit 1: Mid Unit Review Joan makes a tile pattern out of blue triangles. The first three stages of her pattern are shown below. Stage 1 Stage 2 Stage 3 ANSWER Stage 3 2. Complete the table and write a recursive rule for the number of tiles. Start with 1 and add 3 to previous number of tiles Stage# of Tiles

Algebra 1 – Unit 1: Mid Unit Review Joan makes a tile pattern out of blue triangles. The first three stages of her pattern are shown below. Stage 1 Stage 2 Stage 3 3. Write an explicit rule for the number of tiles, t, in each stage, n. Stage# of Tiles

Algebra 1 – Unit 1: Mid Unit Review Joan makes a tile pattern out of blue triangles. The first three stages of her pattern are shown below. Stage 1 Stage 2 Stage 3 ANSWER Stage 3 3. Write an explicit rule for the number of tiles, t, in each stage, n. t = 3n + (-2) or t = 3n – 2 Stage# of Tiles

Algebra 1 – Unit 1: Mid Unit Review Billy is collecting crickets. He starts off with 10 in a box. Each night he collects 5 more. The total number of crickets in his box can be found by the equation: c = 5n a. What does n represent? 4b. What does c represent?

Algebra 1 – Unit 1: Mid Unit Review ANSWER Billy is collecting crickets. He starts off with 10 in a box. Each night he collects 5 more. The total number of crickets in his box can be found by the equation: c = 5n a. What does n represent? 4b. What does c represent? The number of nights The number of crickets collected

Algebra 1 – Unit 1: Mid Unit Review An electric generator has a tank that holds the gasoline needed to run it. The graph shows the fuel level in its tank. 5a. How many gallons were in the tank to start with? 5b. How much fuel does the generator use per hour?

5a. How many gallons were in the tank to start with? 5b. How much fuel does the generator use per hour? Algebra 1 – Unit 1: Mid Unit Review ANSWER 10 gallons 1.5 gal/hr An electric generator has a tank that holds the gasoline needed to run it. The graph shows the fuel level in its tank.

Algebra 1 – Unit 1: Mid Unit Review An electric generator has a tank that holds the gasoline needed to run it. The graph shows the fuel level in its tank. 6a. Write a recursive rule for the amount of fuel in the tank. 6b. From the 4 hour point and without getting any more gasoline, how much longer can the generator run before running out of fuel?

6a. Write a recursive rule for the amount of fuel in the tank. 6b. From the 4 hour point and without getting any more gasoline, how much longer can the generator run before running out of fuel? Algebra 1 – Unit 1: Mid Unit Review ANSWER Start at 10 and subtract 1.5 gallons for every hour An electric generator has a tank that holds the gasoline needed to run it. The graph shows the fuel level in its tank.

Algebra 1 – Unit 1: Mid Unit Review An electric generator has a tank that holds the gasoline needed to run it. The graph shows the fuel level in its tank. 7a. Write an explicit rule for the amount of fuel in the tank. 7b. To the nearest tenth of a gallon, how much fuel is left in the tank at the 5.25 hr time?

7a. Write an explicit rule for the amount of fuel in the tank. 7b. To the nearest tenth of a gallon, how much fuel is left in the tank at the 5.25 hr time? Algebra 1 – Unit 1: Mid Unit Review ANSWER f is amount of fuel, h is hours run f = -1.5h + 10 f = -1.5(5.25) + 10 f = gallons An electric generator has a tank that holds the gasoline needed to run it. The graph shows the fuel level in its tank.