Chapter 1: Foundations

In the following exercise, simplify each expressions.

$-\left(4-5\right)-\left(7-8\right)$

In the following exercise, simplify each expressions.

$25-\left[10-\left(3-12\right)\right]$

In the following exercise, simplify each expressions.

$32-\left[5-\left(15-20\right)\right]$

In the following exercise, multiply or divide.

(a)$-4·8$

(b)$13\left(-5\right)$

(c)$-24÷6$

(d)$-52÷\left(-4\right)$

In the following exercise, multiply or divide.

(a)$-3·9$

(b)$9\left(-7\right)$

(c)$35÷\left(-7\right)$

(d)$-84÷\left(-6\right)$

In the following exercise, multiply or divide.

(a)$-28÷7$

(b)$-180÷15$

(c)$3\left(-13\right)$

(d)role="math" localid="1645270747196" $-1\left(-14\right)$

In the following exercise, multiply or divide.

(a)$-36÷4$

(b)$-192÷12$

(c)$9\left(-7\right)$

(d)$-1\left(-19\right)$

In the following exercise, simplify each expression.

(a) ${\left(-2\right)}^6$

(b)localid="1645766489878" $-2^6$

$4(x+2)$

Translate the English phrase into an algebraic expression:

(a) the difference of 14x²and 13

(b) the quotient of 12x and 2

(c) 13 more than z

(d)18 less than 8x