Algebra 1 Common Core Student Edition, Grade 8-9

0 A p p ly @ 3 2. T h in k A b o u t a P lan A park is installing a rectangular reflecting pool surrounded by a concrete walkway ...

(Q | Challenge 48. Geometry Suppose the prism at the right has the same surface area as a cube with edges 8 in. long. a. Write a ...

(§^ Common Core Stat e St andards jla and the Discriminant The Q uadratic Formula transform any quadratic equation in x in to an ...

Here's W hy It W orks If you complete the square for the general equation ax2 + bx + c = 0, you can derive the quadratic formula ...

Why do you substitute 0 fory? When the ball hits the ground, its height w ill be 0. When the radicand in the quadratic formula i ...

»hi;v Can you use the quadratic formula to solve part (A)? Yes. You can use th e quadratic formula w ith a = 3, b = 0, and c = - ...

Using the Discriminant How many real-number solutions does 2 x 2 — 3x = - 5 have? Pl an Can you solve this problem another way? ...

Q Apply Use the quadratic formula to solve each equation. Round your answer to the nearest hundredth. 4^ See Problem 2. x2 + 8x ...

Find the discriminant and the solution of each equation in parts (a)-(c). If necessary, round to the nearest hundredth. a. x2 — ...

Objective To choose a linear, quadratic, or exponential model for data Do you se e th e pattern? You can model it with a fu n ct ...

How can you get started? Begin by checking the first differences o f the y-values. Then check the second differences and ratios, ...

Real-world data seldom fall exactly into linear, exponential, or quadratic patterns. However, you can determine which type of fu ...

J Lesso n Ch eck Do y o u k n o w H OW? Which type of function best models each set of data points? (0,11), (1,5), (2, 3), (3, ...

Spor t s The number of people attending a school's first five football games is shown in the table below. Which type of functio ...

0 Challenge 26. Reasoning Write a quadratic function y = ax2 + bx + c whose graph passes through the points (0, 7), (2,13), and ...

Concept Byte Use W ith Lesson 9 - 7 Analyzing Residual Plots Co m m o n Co r e St a t e St a n d a r d s S-ID.B.6b Inform ally a ...

Objective To solve systems of linear and quadratic equations Hey, look at that! Two equations with tw o unknow ns— it lo o k s l ...

£ Got It? 1. What are the solutions of each system? Solve by graphing. a. y = 2x2 + 1 b. y = x2 + x + 3 y = — 2x + 5 y= —x In Le ...

Which variable should you substitute for? S ubstitute fo r y since both equations are already solved for y. How can you check yo ...

Go t I t? 4. a. What are the solutions of the system? y = x2 — 2 Use a graphing calculator. y = — x b. Reasoning How else can yo ...