Linear Equations and Inequalities

9000024104

Level: 
A
Identify the optimal first step to solve the following equation. The operation is intended to be used on both sides of the equation. \[ 5x = \frac{2 + x} {5} \]
multiply by \(5\)
multiply by \(\frac{1} {5}\)
multiply by \(\frac{1} {2}\)
multiply by \(2\)
multiply by \(\frac{1} {x}\), assuming \(x\neq 0\)
multiply by \(x\), assuming \(x\neq 0\)

9000024107

Level: 
A
Identify the optimal first step to solve the following equation. The operation is intended to be used on both sides of the equation. \[ 8x = \frac{x + 1} {4} + 1 \]
multiply by \(4\)
multiply by \(\frac{1} {8}\)
multiply by \(\frac{1} {4}\)
multiply by \((x + 1)\), assuming \(x\neq - 1\)
subtract \((x + 1)\)
subtract \(1\)

9000018101

Level: 
B
Solve the following inequality: \[ 7 -\left (4x - 1\right ) < 3\left (x + 4\right ) \]
\(x\in \left (-\frac{4} {7},\infty \right )\)
\(x\in \left (-\infty , \frac{4} {7}\right )\)
\(x\in \left (\frac{4} {7},\infty \right )\)
\(x\in \left (-\infty ,-\frac{4} {7}\right )\)