# algebra practice problems

Therefore, Andrew is 8 years old. Learn algebra for free—variables, equations, functions, graphs, and more. To find the value of x, square each part of the inequality. Grade 9 ratio algebra questions with answers are presented. Line through a point and perpendicular to a given line, Line through a point and parallel to a given line, Find the equation of a perpendicular bisector, Distance, midpoint, and slope (gradient) formulas applied to triangles and quadrilaterals, Different forms of the equation of a straight line. 9 < x < 11 C. 9 < x < 121 D. x < 3 or x < 11 E. x < 9 or x < 121. Note that some sections will have more problems than others and some will have more or less of a variety of problems. Click on the "Solution" link for each problem to go to the page containing the solution.Note that some sections will have more problems than others and some will have more or less of a variety of problems. 27 years old C. 30 years old D. 36 years old E. 42 years old. Simplify absolute value expressions. Peter’s salary is twice Ann’s salary and half of David’s salary. Algebra Practice Questions . Kids can use our free, exciting games to play and compete with their friends as they progress in this subject! -8 B. Free math lessons and math homework help from basic math to algebra, geometry and beyond. ... Im in 7th grade and I finished this problem in 20 sec and the answer is x = 2. step by step is 5x+3=7x-1 —> you minus 5x on both sides because it is the smaller variable and you get 3 = 2x-1. 8. 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. Click on the "Solution" link for each problem to go to the page containing the solution. What was the value of his sales last year? A cab ride costs $3.25 for the first half-mile and$0.70 for each mile after the first half-mile. C. Let x represent the total value of last year’s sales, Set up an equation and solve it for x. A. In six years, the sum of Andrew’s and Brad’s ages will be the same as Carol’s age. 2. If you log in we can remember which skills you have passed. If you haven't studied this lesson yet, click here. 9. Each question is a chance to learn. C = 3A B = A + 2 (A + 6) + (B + 6) = C + 6. If the positive square root of x is between 3 and 11, then what inequality represents all possible values of x? Now that you've studied the three detailed examples for Simplfying Algebraic Expressions, you are ready to try some on your own! Each question is a chance to learn. $48,000 C.$50,000 D. $52,500 E.$56,000. Grade Answers as You Go . Because the first half-mile is excluded, ½, or 0.5 must be subtracted from the distance when multiplying by 0.70. 3(2y + 4) = 8y, A. Is it a solution of an equation or inequality? $48,000 C.$50,000 D. $52,500 E.$56,000, 2. 1. Most sections should have a range of difficulty levels in the problems although this will vary from section to section. All information on this site is provided as is, without warranty. 3. None of the trademark holders are affiliated with StudyGuideZone.com. x = -2. B. 1. Permission is not required to add a link to this resource. Write each piece of information as an equation using the variables A, B, and C for the current ages of Andrew, Brad, and Carol, respectively. 9 miles B. This year, a salesman sells a total of $60,000 worth of steak knives by going door-to-door. 46 c. 21 d. 14 e. 7. Simplify algebraic expressions. 1. Here are a set of practice problems for the Algebra notes. If you're seeing this message, it means we're having trouble loading external resources on our website. 8. Algebra 1 Math Skills Practice: Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 High School Geometry High School Statistics Algebra 1 Algebra 2. Since the salesman’s sales increased by 20% since last year’s, his current sales 120% of x, or 1.2x. [Understand the difference between an equation and a formula.]. Algebra Problems. If 3x + 8x + 4x = 6x + 63, then what is 5x + 23? Brad is two years older than Andrew. Then, solve for A. To begin, write an equation relating the cost C to the distance D. If one travels more than half a mile, the cost is$3.25 plus the $0.70 times the distance in miles, excluding the first half-mile. Algebra has a reputation for being difficult, but Math Games makes struggling with it a thing of the past. Full curriculum of exercises and videos. So, 1.2x = 60,000. 13 miles C. 14 miles D. 26 miles E. 27 miles, 10. Solve the equation for y. How far can someone travel for$12? 3. The absolute value of a number is its distance from zero on a number line. How old is Carol? Solve the equation for x. Practice Problems. Carol is three times older than Andrew. You appear to be on a device with a "narrow" screen width (, Derivatives of Exponential and Logarithm Functions, L'Hospital's Rule and Indeterminate Forms, Substitution Rule for Indefinite Integrals, Volumes of Solids of Revolution / Method of Rings, Volumes of Solids of Revolution/Method of Cylinders, Parametric Equations and Polar Coordinates, Gradient Vector, Tangent Planes and Normal Lines, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Linear Homogeneous Differential Equations, Periodic Functions & Orthogonal Functions, Heat Equation with Non-Zero Temperature Boundaries, Absolute Value Equations and Inequalities. Therefore, someone can travel 13 miles on $12. Questions on solving linear and quadratic equations, simplifying expressions including expressions with fractions, finding slopes of lines are included. 6. E. To begin, simplify the right side of the equation by distributing the 3. To find how far someone can travel with$12, substitute 12 for C and solve for D. 12 = 3.25 + 0.70(D – 0.5) 12 = 3.25 + 0.7D – 0.35 9.1 = 0.7D D = 13. 1.-3ab + 4ac - 2ad = -(3ab - 4ac + 2ad) When multiplying polynomials, you should use the F-O-I-L method. Solutions and explanations for each of the answers to the algebra practice problems are provided in this section. Take your time, use a pencil and paper to help. Intermediate Algebra Problems With Answers - sample 2:Find equation of line, domain and range from graph, midpoint and distance of line segments, slopes of perpendicular and parallel lines. 9. B. For a fraction, the reciprocal can be found by inverting (or switching) the numerator and denominator. \$45,000 B. Intermediate Algebra Problems With Answers - sample 3 : equations and system of equations, quadratic equations, function given by a table, intersections of lines, problems. You appear to be on a device with a "narrow" screen width (, Derivatives of Exponential and Logarithm Functions, L'Hospital's Rule and Indeterminate Forms, Substitution Rule for Indefinite Integrals, Volumes of Solids of Revolution / Method of Rings, Volumes of Solids of Revolution/Method of Cylinders, Parametric Equations and Polar Coordinates, Gradient Vector, Tangent Planes and Normal Lines, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Linear Homogeneous Differential Equations, Periodic Functions & Orthogonal Functions, Heat Equation with Non-Zero Temperature Boundaries, Absolute Value Equations and Inequalities, Add $$4{x^3} - 2{x^2} + 1$$ to $$7{x^2} + 12x$$, Subtract $$4{z^6} - 3{z^2} + 2z$$ from $$- 10{z^6} + 7{z^2} - 8$$, Subtract $$- 3{x^2} + 7x + 8$$ from $${x^4} + 7{x^3} - 12x - 1$$, $$12y\left( {3{y^4} - 7{y^2} + 1} \right)$$, $$\left( {3x + 1} \right)\left( {2 - 9{x^2}} \right)$$, $$\left( {{w^2} + 2} \right)\left( {3{w^2} + w} \right)$$, $$\left( {4{x^6} - 3x} \right)\left( {4{x^6} + 3x} \right)$$, $$\left( {{x^2} + x - 2} \right)\left( {3{x^2} - 8x - 7} \right)$$, Subtract $$3{\left( {{x^2} + 1} \right)^2}$$ from $$6{x^3} - 9{x^2} - 13x - 4$$.