In some cases, you may prefer to find squares and square roots using the Table of Squares and
Square
Roots on page 957 of your text. (Note that the table gives square roots rounded to three
decimal places .) Many tables, including this one, have several columns of data for each number. It
is important that you always check the column heads as you read numbers in a table to make sure
you have found the data you need.

 STUDY TIP Use a Ruler A straight edge, such as a ruler or the edge of a piece of paper, can help you keep your place as you read a table. Placing the ruler be low the row you are reading helps focus your eyes on the entry you need to read. STUDY TIP Estimating from the Table The Table of Squares and Square Roots may be used to estimate certain squares and square roots. For example, you can determine that 7.62 ≈ 58 and Unless a rough estimate is sufficient, it is generally better to use a calculator for such numbers.

Questions

Use the Table of Squares and Square Roots above for Questions 1–3.

1. Find the square of each integer.

2. Find the square root of each integer.

3. Estimate the value of each expression to the nearest whole number.

Visual Glossary

The Now box on page 627 lists the key vocabulary introduced in Chapter 10. The key vocabulary
list at the beginning of each lesson may include prior key vocabulary with page references. Also use
the Skills Review Handbook to review key vocabulary from prior courses. Use the visual glossary
below to help you understand some of the key vocabulary used in Chapter 10. You may want to copy
these diagrams into your notebook and refer to them as you complete the chapter.

 GLOSSARY parabola (page 628) The U-shaped graph of a quadratic function. vertex (page 628) The lowest or highest point on a parabola. axis of symmetry (page 628) The line that passes through the vertex and divides the parabola into two symmetric parts. quadratic equation (page 643) An equation that can be written in the standard form ax2+ bx + c = 0, where a ≠ 0. quadratic formula (page 671) The solutions of the quadratic equation ax2+ bx + c = 0 are where a ≠ 0 and b2 -4ac≥ 0. discriminant (page 678) The expression b2 -4ac where a, b, and c are coefficients of the quadratic equation ax2+ bx + c = 0. Graphing Quadratic Equations To sketch the graph of a quadratic equation, first determine whether the parabola opens up or opens down. Find the axis of symmetry: The x-coordinate of the vertex is also Find the y-coordinate by substituting the x -coordinate into the function and simplifying . y = -(1)2 + 2(1) + 2 = 3 The vertex is (1, 3). Make a table of values for points on one side of the axis of symmetry. Plot the points. Then reflect the points plotted in the axis of symmetry. Draw the parabola through the points. Solving Quadratic Equations As you solve quadratic equations, you will apply new vocabulary in many steps in the process.
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