NY Regents Algebra I Solving Linear Equations and Inequalities — practice questions
62 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice NY Regents Algebra I Solving Linear Equations and Inequalities in the app →In algebra, what is a value of a variable called if it makes an equation a true statement when substituted in?According to the three-step method for checking whether a number is a solution to an equation, what is the secThe Subtraction Property of Equality states that if a equals b, what must also be true for any number c?Solve: y + 37 = -13.The Addition Property of Equality states that if a equals b, what must also be true for any number c?Solve: a - 28 = -37.Solve: x - 5/8 = 3/4.Solve: n - 0.63 = -4.2.Solve: 9x - 5 - 8x - 6 = 7.Solve: 5(n - 4) - 4n = -8.Solve: 3(2y - 1) - 5y = 2(y + 1) - 2(y + 3).Translate and solve: Eleven more than x is equal to 54.Translate and solve: The difference of 12t and 11t is -14.The MacIntyre family recycled newspapers for two months, weighing 57 pounds in total. The second month weighedRandell paid $28,675 for his new car, which was $875 less than the sticker price. What was the sticker price?The Division Property of Equality states that if a equals b and c is not zero, what must also be true?Solve: 5x = -27.The Multiplication Property of Equality states that if a equals b, what must also be true for any number c?Solve: y / -7 = -14.Solve: -n = 9.Solve: (3/4)x = 12.Solve: 8/15 = -(4/5)x.Solve: 14 - 23 = 12y - 4y - 5y.Solve: -4(a - 3) - 7 = 25.Translate and solve: The number 143 is the product of -11 and y.Translate and solve: n divided by 8 is -32.Translate and solve: The quotient of y and -4 is 68.Translate and solve: Three-fourths of p is 18.Translate and solve: The sum of three-eighths and x is one-half.Denae bought 6 pounds of grapes for $10.74. What was the cost of one pound of grapes?Andreas bought a used car for $12,000, which was three-fourths of the original price. What was the original prSolve: 7x + 8 = -13.Solve: 8y - 9 = 31.Solve: 9x = 8x - 6.Solve: 5y - 9 = 8y.Solve: 12x = -x + 26.Solve: 7x + 5 = 6x + 2.Solve: 8n - 4 = -2n + 6.Solve: 7a - 3 = 13a + 7.Solve: (5/4)x + 6 = (1/4)x - 2.According to the General Strategy for Solving Linear Equations, what is the very first step?Solve: -6(x + 3) = 24.Solve: -(y + 9) = 8.Solve: 5(a - 3) + 5 = -10.Solve: (2/3)(6m - 3) = 8 - m.Solve: 8 - 2(3y + 5) = 0.Solve: 4(x - 1) - 2 = 5(2x + 3) + 6.Solve: 10[3 - 8(2s - 5)] = 15(40 - 5s).Solve: 0.36(100n + 5) = 0.6(30n + 15).What is a conditional equation?What is an identity, and what is its solution?What is a contradiction, and how many solutions does it have?Classify the equation 6(2n - 1) + 3 = 2n - 8 + 5(2n + 1), then state the solution.Classify the equation 10 + 4(p - 5) = 0, then state the solution.Classify the equation 5m + 3(9 + 3m) = 2(7m - 11), then state the solution.According to the strategy for solving equations with fraction coefficients, what is the first step?Solve: (1/6)y - 1/3 = 5/6.Solve: 6 = (1/2)v + (2/5)v - (3/4)v.Solve: a + 3/4 = (3/8)a - 1/2.Solve: -5 = (1/4)(8x + 4).Multiplying both sides of an equation by the LCD of all its fractions, so that no fractions remain, is called Once an equation with fraction coefficients has been cleared of fractions by multiplying by the LCD, what happ