Test your knowledge of introductory Algebra with this Algebra practice exam. Whether you are studying for a school math test or looking to test your math skills, this free practice test will challenge your knowledge of algebra. Grade Answers as You Go. Incorrect answer. Please choose another answer. Prev Next Finish. Bookmark Page. He gave X dollars to one son. Which of the following expressions correctly shows the amount he gave to the other.
Irene is N years old. If Tom is twice as old, which of the following algebraic statements shows his age now? John has B bats and buys C bats more. He then gives away D bats. Which of the following algebraic statements corretly shows how many bats John has left? What is the representation algebraically of the cost of X feet of lumber at Y dollars per foot? The sum of a certain number and 3 times the number is What is the number?
Dependent Variable. Independent Variable. Solve the formula for d. Solve the formula for h. The absolute value of is Solve for x. Which of the following is not a grouping symbol? A minus sign that precedes a parenthesis causes the sign of each term within the parentheses to change when the parentheses are removed. If 10 is separated into two parts, one of which is y, represent the second part.
Find 3 consecutive numbers such that 3 times the first is equal to 8 more than the sum of the other two. The ratio of the height of two buildings is 7 to 5. The first building is feet tall. How tall is the second building?Discover 15 secret strategies that will raise your score on any multiple choice exam regardless of the subject.
A system of a linear equations have two or more equations and two variables. In a system of linear equations, each equation is a straight line and the solution will be the point where the two lines intersect. If we have 2 or more linear equations with 2 or more variables, then we have a system of linear equations. Here, we will solve systems with 2 variables, given in 2 linear equations. Idea here is to express one variable using the other variable in one equation, and use it in the second equation, where we would get a linear equation with one variable.
In the second equation, we write x — 3 instead of y. And there we get a linear equation with one variable x. If we add these 2, we get zero, which means we lose variable y. So, we add these 2 equations and we get a linear equation with one variable.
Tag: 2 Variable Linear Equations. Your email address will not be published. Most Popular. The complete guide to multiple choice! Test Help! Linear Equations with 2 Variables Algebra Practice Questions A system of a linear equations have two or more equations and two variables. Linear Equations with 2 Variables — Quick Review Tutorial If we have 2 or more linear equations with 2 or more variables, then we have a system of linear equations.
Practice Questions 1. Solve the system, if a is some real number:. Linear Equation Answer Key 1. Brian Stocker MA. Inverse Functions Practice Questions 29 March, Leave A Reply Cancel reply Your email address will not be published.Students typically take Algebra II early in their high school careers. The class expands on the concepts of equations, functions, and graphs previously introduced in the prerequisite course, Algebra I.
The more advanced concepts that students learn in Algebra II continue to build a mathematical foundation that will serve them in later classes like Pre-Calculus, Statistics, Trigonometry, and Calculus, exercising their abilities to think critically about the relationships between the characteristics of data and the different ways in which data can be represented. A typical Algebra II class might begin by first reviewing the core concepts of solving and graphing basic linear functions that formed the basis of Algebra I.
21 Glencoe Algebra 2 Textbook Answers Pdf
It might also build on the concepts of basic probability and basic statistics, including working with the concepts of mean, median, and mode; however, the class soon introduces new material in the form of quadratic functions, which, if they were mentioned in Algebra I, were not taught in great depth.
Students learn the characteristics of circle functions and parabolic functions in both equation and graphical forms, as well as how to manipulate each aspect of a function by making changes to one of its forms. For instance, questions might give students a graph of a circle function and its equation, and then ask them how shifting the graphed function three whole numbers to the right would be reflected in the equation. Similarly, they may be given equations of parabolic functions and asked what changes various changes to the equations would have on hypothetical graphs of those functions.
Algebra II also returns to and expands upon the previously-taught practice of solving single-variable equations and introduces more challenging and complicated topics into coursework. Like in Algebra I, students are taught to factor polynomial expressions, use FOIL, and simplify and expand quadratics and rational expressions.
Algebra II also introduces many intermediate topics into the equations and functions that students grew familiar with in Algebra I. These include imaginary numbers and irrational numbers. Students also learn to manipulate fractions and exponents and are likely to encounter them in functions. Logarithms, factorials, and radicals are also introduced, and students learn to work with each.
Practicing Algebra II material is thus a great way to either brush up on rusty skills or learn new concepts. Each twelve-question Practice Test functions as a multiple-choice quiz drawing from various Algebra II topics. After completing a Practice Test, each test taker receives detailed statistics about his or her performance, including access to a complete step-by-step answer for each problem.
Using these explanations, students can pinpoint exactly where they made a mistake in any problems they answer incorrectly, allowing them to learn from their mistake. Each complete practice test will ask you to draw on all of your algebra skills, making it a great way to gauge your knowledge level at any point in your study process.
Once you finish the test, the results page will give you your score along with informative metrics, detailed explanations, and additional review resources. These online practice tests are a great way to formulate a personalized Algebra II study plan by helping you discover which concepts are in need of more attention. By keeping their Algebra II skills sharp, students can prepare themselves for success in their later math and science classes! Subject optional. Home Embed. Email address: Your name:.
Take the Varsity Learning Tools free diagnostic test for Algebra II to determine which academic concepts you understand and which ones require your ongoing attention. Each Algebra II problem is tagged down to the core, underlying concept that is being tested. The Algebra II diagnostic test results highlight how you performed on each area of the test. You can then utilize the results to create a personalized study plan that is based on your particular area of need.
Test Difficulty :. Average Time Spent : 2 hrs 59 mins. Average Time Spent : 6 hrs 36 mins. Average Time Spent : 9 hrs 50 mins. Average Time Spent : 9 hrs 27 mins. Average Time Spent : 13 hrs 32 mins. Average Time Spent : 8 hrs 1 mins.
Average Time Spent : 6 hrs 18 mins. Average Time Spent : 12 hrs 8 mins.These test questions may have been previously administered. A test form is a set of released test questions previously administered together to Texas students which reflects the STAAR test blueprints. STAAR reading and writing tests contain varying amounts of authentic published texts. Copyright permission for these texts is obtained from publishers by the testing contractor on behalf of TEA.
These copyright agreements may or may not include permission for a wider, non-secure release after testing. If material that was used during testing could not be included in a released test form due to specific copyright permissions, text is provided in the form that indicates where the source material originated.
Released test forms that were administered on paper are released as PDFs. These documents are available in the links below.
Released test forms that were administered online are released as practice tests. The online practice tests are not available for printing or scoring. Agency Finances. Contact Us. Other Services. General Information. Charter Schools. District Initiatives. School Boards. Curriculum Standards. Early Childhood Education. Graduation Information. Instructional Materials. Learning Support and Programs.
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Basics Order of operations Evaluating expressions Simplifying algebraic expressions. Linear Relations and Functions Review of linear equations Graphing absolute value functions Graphing linear inequalities. General Functions Evaluating functions Function operations Inverse functions.
Equations and Inequalities Multi-step equations Work word problems Distance-rate-time word problems Mixture word problems Absolute value equations Multi-step inequalities Compound inequalities Absolute value inequalities. Complex Numbers Operations with complex numbers Properties of complex numbers Rationalizing imaginary denominators. Radical Functions and Rational Exponents Simplifying radicals Operations with radical expressions Dividing radical expressions Radicals and rational exponents Simplifying rational exponents Square root equations Rational exponent equations Graphing radicals.
Exponential and Logarithmic Functions The meaning of logarithms Properties of logarithms The change of base formula Writing logs in terms of others Logarithmic equations Inverse functions and logarithms Exponential equations not requiring logarithms Exponential equations requiring logarithms Graphing logarithms Graphing exponential functions. All rights reserved.Discover 15 secret strategies that will raise your score on any multiple choice exam regardless of the subject.
How to Study for a Math Test. Practice your Algebra with a Free quiz. By how many percent did the price increase? By how many percent did the price decrease? Given that the first time he took the test Brian had answered questions correctly, how many correct answers did he answer in the second test? A number is increased by 2 and then multiplied by 3.
The result is What is this number? My brother is 3 years older than me. How old is my father? There are two fractions containing x and the denominators are different. First, let us find a common denominator to simplify the expression. The least common multiplier of 4 and 7 is We can follow outside to inside method to solve this type of problems. Tag: Algebra. I need to know how to do the formula in order to pass algebra to get accepted into a practical nursing program. Also, I need to learn basic mathematics.
Algebra Practice Test 2
In order to solve it you have to look at the two sides separated by the equal sign then combine like terms after you add or subtract from both sides so a variable s is on one side and the numbers are on one side then if they have a common factor divide them by the smallest of the two then you will get your answer. Hello Will you please show me how you break this problem down in order to solve it. No, You cannot add and subtract number just because they are next to each other. You must align same groups with each other.
However, when we align and group them, it means switching them from theyre placements where they will cross the equal sign.
The rule is, anything that has to cross the equal sign in order to group numbers will automatically have their plus and minus signs changed. Therefore, this is how itll look. Note: 5x — 7x became -2x, as 7 is the bigger number out of the two that are being subtracted, therefore the result will adopt the minus sign from the bigger number. Those are the rules of Algebra.
I keep getting 2 for an answer.A tan? You can solve this problem either 1 by simplifying the numerator and denominator separately and then simplifying the result or 2 by using the distributive property.
For this problem, we will use the first method. To simplify the expression, first factor the numerator and the denominator. By the trial-and-error method, the numerator can be factored into two binomials as follows. Therefore, you can further simplify the expression by cancelling it out. To solve, first factor the polynomial. Notice that the greatest common factor GCF of the terms is 2x. Factor this expression out and then use trial-and-error to factor the resulting trinomial.
These values divide the number line into four intervals. Choose a test number from each interval and determine whether the product is positive or negative.
For this problem, we will use -5, -1, 1, and 2 as test numbers. Substitute these values into the original polynomial. The baseball will hit the ground when its height is zero. Therefore, we need to set the given function equal to zero. Now solve the resulting equation. Factor the left side and use the zero-product property to solve for t. The answer only makes sense when t is positive, so we can discard the negative value. Thus, the calculator will hit the ground 3 seconds after it is thrown.
Check this value on your own by substituting it into the original equation to make sure that the result is a true statement. The numerator can be factored by grouping as follows. Notice that there is a common factor, x-3which is in both the numerator and the denominator. Use a unit circle to model the value of cosine. In a right triangle, the cosine function is cos? Using the Pythagorean Theorem, we find that the length of the second leg is. Since the tangent function is tan?
Therefore, tan? All of the choices involve two transformations of the given expression: factoring out either 2 or 2x and changing the radical to an exponent.
First factor out the greatest common factor GCF of the terms. In this case, the GCF is 2. Find f x. Solve the inequality for x. Select all that apply. A baseball is thrown up in the air from an initial height of 6 feet. How long will it take in seconds for the baseball to hit the ground?
23 Algebra 2 Practice Test with Answers
Solve the equation for x. Suppose that angle? Find tan?. D You can solve this problem either 1 by simplifying the numerator and denominator separately and then simplifying the result or 2 by using the distributive property. D To simplify the expression, first factor the numerator and the denominator.