Chapter 1

For the following problems, use the order of operations to find each value. $$4\left(\frac{3}{5}-\frac{8}{15}\right)+9\left(\frac{1}{3}+\frac{1}{4}\right)$$

For the following problems, perform each indicated operation. \(\frac{1}{15}+\frac{5}{12}\)

For the following problems, determine the missing numerator or denomin ator. \(\frac{3}{2}=\frac{18}{?}\)

For the following problems, perform each indicated operation. \(\frac{25}{36}-\frac{7}{10}\)

For the following problems, determine the missing numerator or denomin ator. \(\frac{5}{3}=\frac{80}{?}\)

For the following problems, use the order of operations to find each value. $$0 \cdot 9+4 \cdot 0 \div 7+0[2(2-2)]$$

For the following problems, perform each indicated operation. \(\frac{9}{28}-\frac{4}{45}\)

For the following problems, perform each indicated operation. \(\frac{8}{15}-\frac{3}{10}\)

For the following problems, perform each indicated operation. \(\frac{1}{16}+\frac{3}{4}-\frac{3}{8}\)

For the following problems, state whether the given statements are the same or different. $$x=y \quad \text { and } \quad y=x$$

For the following problems, perform each indicated operation. \(\frac{8}{3}-\frac{1}{4}+\frac{7}{36}\)

For the following problems, state whether the given statements are the same or different. Represent the product of 3 and \(x\) five different ways.

For the following problems, perform each indicated operation. \(\frac{3}{4}-\frac{3}{22}+\frac{5}{24}\)

For the following problems, state whether the given statements are the same or different. Represent the sum of \(a\) and \(b\) two different ways.

For the following problems, rewrite each phrase using algebraic notation. Ten minus three

For the following problems, rewrite each phrase using algebraic notation. \(x\) plus sixteen

For the following problems, rewrite each phrase using algebraic notation. 51 divided by \(a\)

For the following problems, rewrite each phrase using algebraic notation. 81 times \(x\)

For the following problems, rewrite each phrase using algebraic notation. 3 times \((x+y)\)

For the following problems, rewrite each phrase using algebraic notation. $$(x+b) \text { times }(x+7)$$

For the following problems, rewrite each phrase using algebraic notation. $$3 \text { times } x \text { times } y$$

For the following problems, rewrite each phrase using algebraic notation. $$x \text { divided by }(7 \text { times } b)$$

For the following problems, rewrite each phrase using algebraic notation. $$(a+b) \text { divided by }(a+4)$$

For the following problems, introduce a variable (any letter will do) and use appropriate algebraic symbols to write the given statement. A number minus eight equals seventeen.

For the following problems, introduce a variable (any letter will do) and use appropriate algebraic symbols to write the given statement. Five times a number, minus one, equals zero.

For the following problems, introduce a variable (any letter will do) and use appropriate algebraic symbols to write the given statement. A number divided by six is greater than or equal to forty-four.

For the following problems, introduce a variable (any letter will do) and use appropriate algebraic symbols to write the given statement. Sixteen minus twice a number equals five.

Determine whether the statements for the following problems are true or false. $$6-4(4) \quad(1) \leq 10$$

Determine whether the statements for the following problems are true or false. $$5(4+2 \cdot 10) \geq 110$$

Determine whether the statements for the following problems are true or false. $$8 \cdot 6-48 \leq 0$$

Determine whether the statements for the following problems are true or false. $$\frac{20+4.3}{16}<5$$

Determine whether the statements for the following problems are true or false. $$2[6(1+4)-8]>3(11+6)$$

Determine whether the statements for the following problems are true or false. $$2[6(1+4)-8]>3(11+6)$$