Explain the meaning of each expression:

1. \(3<5\)

2. \(0>100\)

3. \(-3<5\)

4. \(-5<-2\)

Simplify each expression:

1. \(\lvert5\rvert\)

2. \(\lvert-3\rvert\)

3. \(\lvert-7\rvert\)

Give the opposite of each number: \(5\), \(7\), \(1\), \(-5\), \(-8\)

Simplify each of the following:

1. \(-\lvert8\rvert\)

2. \(-\lvert -10\rvert\)

Add \(-3+(-5)\) using the number line.

Add \(3+(-5)\) using the number line.

Add \(-3+5\) using the number line.

Add all combinations of positive and negative \(10\) and \(15\).

Simplify: \(10+(-5)+(-3)+4\)

Simplify: \([-3+(-10)]+[8+(-2)]\)

Evaluate the expression \(-10+x\) for \(x=4\) and \(x=-7\).

Subtract: \(-7-2\)

Subtract: \(\;12-(-6)\)

Combine: \(-3+6-2\)

Subtract \(3\) from \(-5\)

Planes used by the United States during World War II were not pressurized or sealed from outside air. As a result, the temperature inside was the same as the surrounding air temperature outside. Suppose the temperature inside a B-17 Flyinf Fortress is \(50^\circ\)F at takeoff and then drops to \(-30^\circ\)F when the plane reaches its cruising altitude of \(28,000\) feet. Find the difference in temperature inside the plane.

Multiply: \(3(-5)\)

Multiply: \(-3(5)\)

Multiply: \(-3(-5)\)

Multiply:

1. \(2(4)\)

2. \(-2(-4)\)

3. \(2(-4)\)

4. \(-2(4)\)

Multiply: \(-3(2)(-5)\)

Simplify: \(-4+5(-6+2)\)

Simplify: \(-3(2-9)+4(-7-2)\)

Expand and simplify:

1. \((-6)^2\)

2. \(-6^2\)

3. \((-4)^3\)

4. \(-4^3\)

Evaluate \(-2x+3\) for \(x=4\).

Divide:

1. \(12 \div 4\)

2. \(-12 \div 4\)

3. \(12 \div (-4)\)

4. \(-12 \div (-4)\)

Divide:

1. \(\frac{20}{5}\)

2. \(\frac{-20}{5}\)

3. \(\frac{20}{-5}\)

4. \(\frac{-20}{-5}\)

Simplify: \(\displaystyle\frac{-15+5(-4)}{12-17}\)

Simplify: \(-4\left(10^2\right)+20\div (-4)\)

Simplify: \(10-2^3\lvert-3-1\rvert\)

Evaluate \(\dfrac{a^4-7}{3}\) for \(a=-2\).