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 $a=-2$.