Beginning & Intermediate Algebra
Which expression is NOT a linear equation in the form a x + b = c (with a ≠ 0)?
Solve −x − 6 = 4 by isolating x.
Evaluate the following student's solution to 3x − 4 = 11: they added 4 to both sides to get 3x = 7, then divided by 3 and concluded x = 7/3. Determine whether the steps and final answer are correct, and if not provide the correct solution.
Which of the following is a correct formal expression of the division property of equality?
Solve 5 - (2/3)x = 1. Show the steps and identify the correct sequence of operations.
A car rental charges a flat fee of \$50 plus \$0.25 per mile driven. If a driver paid \$80 total, set up and solve an equation for the number of miles driven.
Solve: 7x−4=3x+127x - 4 = 3x + 12
Solve the following equation for xx: 13x−56=12\(\displaystyle\)\(\frac{1}{3}\)x-\(\frac{5}{6}\)=\(\frac{1}{2}\)
Classify the following equation as a conditional equation, an identity, or a contradiction, and state its solution set: 5(x+2)=5x+105(x + 2) = 5x + 10
Which statement correctly describes the solution set to the linear inequality x>3x > 3?
A student solves the inequality −4x>12-4x > 12 and concludes that x>−3x > -3. Which statement correctly identifies the student's error and provides the proper solution?
Solve the compound inequality −2≤3x−1<8-2 \(\le\) 3x - 1 < 8 and express the solution in centered inequality form.