Chapter 1
Intermediate Algebra · 580 exercises
Problem 1
Fill in the blanks. ______ means parts per one hundred.
3 step solution
Problem 1
Fill in the blanks. A \(\quad\) is an equation that states a mathematical relationship between two or more variables.
3 step solution
Problem 1
Fill in the blanks. An ____________ angle has a measure of more than \(0^{\circ}\) and less than \(90^{\circ} .\)
3 step solution
Problem 1
Fill in the blanks. The set of _____ numbers is \(\\{0,1,2,3,4,5, \ldots\\},\) the set of _____ numbers is \(\\{1,2,3,4,5, \ldots\\},\) and the set of ______ is \(\\{. . .,-2,-1,0,1,2, \ldots\\}\)
4 step solution
Problem 1
Fill in the blanks. A _____ is a product or quotient of numbers and/or variables, such as \(6 r,-t^{3},\) and \(\frac{44}{m}\).
4 step solution
Problem 1
Fill in the blanks. An _____ is a statement that two expressions are equal.
3 step solution
Problem 1
Fill in the blanks. When we add two numbers, the result is called the _____. When we subtract two numbers, the result is called the _____.
2 step solution
Problem 1
A _______ is a letter that stands for a number.
2 step solution
Problem 2
Fill in the blanks. In the statement, " 10 is \(20 \%\) of 50 ," 10 is the _____ and 50 is the _____.
4 step solution
Problem 2
Fill in the blanks. To find the \(\quad\) of a plane geometric figure, such as a rectangle or triangle, we calculate the distance around the figure. The \(\quad\) of a plane geometric figure is the amount of surface that it encloses.
2 step solution
Problem 2
Fill in the blanks. A ___________ angle is an angle whose measure is \(90^{\circ} .\)
3 step solution
Problem 2
Fill in the blanks. \(2 x+1=4\) is an example of a _____ equation in one variable.
3 step solution
Problem 2
Fill in the blanks. When we multiply two numbers, the result is called the _____. When we divide two numbers, the result is called the _____.
3 step solution
Problem 2
When all the members of one set are members of a second set, we say the first set is a _____ of the second set.
3 step solution
Problem 2
Fill in the blanks. The _____ of the term \(-8 c\) is \(-8\)
3 step solution
Problem 2
Variables and/or numbers can be combined with mathematical operations to create algebraic _______.
4 step solution
Problem 3
Fill in the blanks. When the regular price of an item is reduced, the amount of reduction is called the _____.
2 step solution
Problem 3
Fill in the blanks. The \(\quad\) of a three-dimensional geometric solid is the amount of space it encloses.
3 step solution
Problem 3
Fill in the blanks. The _____ of \(\frac{5}{9}\) is \(\frac{9}{5}\)
3 step solution
Problem 3
Fill in the blanks. A _______ number is a whole number greater than 1 that has only itself and 1 as factors. A _____ number is a whole number greater than 1 that is not prime.
3 step solution
Problem 3
Fill in the blanks. If the sum of the measures of two angles equals \(90^{\circ},\) the angles are called _________ angles.
3 step solution
Problem 3
Fill in the blanks. A number that makes an equation true when substituted for the variable is called a _____.
3 step solution
Problem 3
Fill in the blanks. A term, such as \(9,\) that consists of a single number is called a ______ term.
3 step solution
Problem 3
An __________ is a mathematical sentence that contains an \(=\) symbol.
3 step solution
Problem 4
Fill in the blanks. When an investment is made, the amount of money invested is called the _____ . The money an investment earns is called ____.
3 step solution
Problem 4
Fill in the blanks. To \(\quad\) a formula for a specified variable means to isolate that variable on one side of the equation, with all other variables and constants on the opposite side.
4 step solution
Problem 4
Fill in the blanks. In the exponential expression \(x^{2},\) the ______ is \(x\) and 2 is the _____.
3 step solution
Problem 4
Fill in the blanks. If the sum of the measures of two angles equals \(180^{\circ},\) the angles are called ___________ angles.
3 step solution
Problem 4
Fill in the blanks. A _____ number is any number that can be written as a fraction with an integer numerator and a nonzero integer denominator.
2 step solution
Problem 4
If two equations have the same solution set, they are called _____ equations.
3 step solution
Problem 5
One method to solve applied percent problems is to use the given facts to write a percent sentence. What is the basic form of a percent sentence?
5 step solution
Problem 5
Fill in the blanks. \(6^{2}\) can be read as "six _____ "and \(6^{3}\) can be read as "six _____."
4 step solution
Problem 5
CONCEPTS Determine which concept (perimeter, circumference, area, or volume) should be used to find each of the following situations. Then determine which unit of measurement, ft, \(\mathrm{ft}^{2},\) or \(\mathrm{ft}^{3}\), would be appropriate, a. The amount of ground covered by a lawn b. The amount of storage in a safe c. The distance traveled by a rider on a Ferris wheel d. The distance around a tennis court
4 step solution
Problem 5
Fill in the blanks. ______ numbers are nonterminating, nonrepeating decimals.
3 step solution
Problem 5
Fill in the blanks. The ______ properties of real numbers involve changing order and the ______ properties of real numbers involve changing grouping.
4 step solution
Problem 5
Fill in the blanks. If a triangle has a right angle, it is called a __________________ triangle.
3 step solution
Problem 5
Fill in the blanks. An equation that is made true by any permissible replacement value for the variable is called an _____.
3 step solution
Problem 5
Phrases such as increased by and more than are used to indicate the operation of ________ Phrases such as decreased by and less than are used to indicate the operation of
2 step solution
Problem 6
The area of a circle is exactly \(54 \pi \mathrm{ft}^{2}\). Approximate the area to the nearest tenth of a square foot.
5 step solution
Problem 6
Fill in the blanks. We read \(\sqrt{25}\) as the _____ _____ of 25.
3 step solution
Problem 6
Fill in the blanks. The set of rational numbers together with the set of irrational numbers form the set of ______ numbers.
3 step solution
Problem 6
Fill in the blanks. An equation that is false for all replacement values for the variable is called a _____.
3 step solution
Problem 6
Fill in the blanks. We can use the _____ property to remove parentheses in the expression \(2(x+8)\).
4 step solution
Problem 6
Fill in the blanks. If a triangle has two sides with equal measures, it is called an ____________ triangle.
3 step solution
Problem 6
Equations that express a mathematical relationship between two or more variables are called ________.
3 step solution
Problem 7
Fill in the blanks. In the expression \(9+6[22-(6-1)]\), the _____ are the innermost grouping symbols, and the brackets are the _____ grouping symbols.
3 step solution
Problem 7
Fill in the blanks. If \(a=b,\) then \(a+c=b+\square\) and \(a-c=b-\square.\) Adding (or subtracting) the same number to (or from) _____ sides of an equation does not change the solution.
4 step solution
Problem 7
Fill in the blanks. _______ terms are terms with exactly the same variables raised to exactly the same powers.
3 step solution
Problem 7
Fill in the blanks. \(>, \geq,<,\) and \(\leq\) are called ____ symbols.
4 step solution
Problem 7
Classify each of the following as an expression or an equation. a. \(6 x-5\) b. \(P=a+b+c\) c. \(\frac{s+9 t}{8}\) d. \(\quad \sqrt{2 w^{2}}\)
3 step solution