# Hotmath Practice Problems

Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
Chapter:Real Numbers and the Pythagorean TheoremSection:Square Roots

Problem: 1

Compute the square root.

Problem: 3

Compute the square root.

Problem: 5

Simplify.

Problem: 7

Simplify.

Problem: 9

Estimate the square root to the nearest whole number.

Problem: 11

Estimate the square root to the nearest whole number.

Problem: 13

Estimate the square root to the nearest whole number.

Problem: 15

Without using a calculator, determine the positive square root of 13 to the nearest whole number and to the nearest tenth.

Problem: 17

Determine both square roots of 121.

Problem: 19

Determine both square roots of 17 to the nearest thousandth.

Problem: 21

Determine both square roots of 0.49.

Problem: 23

Give the integer if the given expression is equal to an integer. Otherwise give the two consecutive integers between which its value lies.

Problem: 25

Give the integer if the given expression is equal to an integer. Otherwise give the two consecutive integers between which its value lies.

Problem: 27

Simplify the given expression.

Problem: 29

Evaluate:

Problem: 31

Obtain the solution of the given equation. Round decimal answers to the nearest tenth.

r2 = 25

Problem: 33

Obtain both solutions of the equation.

4a2 = 256

Problem: 35

Form a simplified expression for the given product. Then simplify.

Problem: 37

Fill the with , , or = that makes the statement true.

Problem: 39

Fill inwith , , or = that makes the statement true.

Problem: 41

Give an algebraic equation for the sentence and then determine the solution of the equation.

The sum of a squared and 9 is 13.

Problem: 43

Find the length of a side of the gray square if its area is 42 sq. units. Verify your answer by using the grid.

Problem: 45

Estimate the radius to the nearest inch, if the area of a circle is 29 in2.

Problem: 47

Find , approximating to the tenths place.

Problem: 49

Find , approximating to the tenths place.

Problem: 51

Find , approximating to the hundredths place.

Problem: 53

A square room has an area of 900 ft2. Find the cost to put molding around the ceiling if the molding costs \$0.65 per foot.