Chapter 2

Evaluate the expression. $$ -8-4-9 $$

Use the distributive property and mental math to simplify the expression. $$-5(10.99)$$

Use mental math to solve the equation. \(8-a=4\)

Evaluate the expression for the given value of the variable. \begin{equation} \frac{9}{p} \text { when } p=3 \end{equation}

Find the area of the object. A square piece of construction paper has a side length of 9 centimeters.

Find the sum. $$ -\frac{1}{4}+\frac{7}{4} $$

Evaluate the expression. $$ 12-(-8)-5 $$

Use the distributive property and mental math to simplify the expression. $$ -4(5.95) $$

Use mental math to solve the equation. \(3 z=15\)

Write the sentence as an equation or an inequality. Let x represent the number. 5 less than a number is \(8 .\)

Use mental math to solve the equation. \(9-y=1\)

Evaluate the expression for the given value of the variable. $$ 9(-4)(x) \text { when } x=5 $$

The saline solution that you use to clean your contact lenses is on sale for $4.99 a bottle. You decide to stock up and buy 4 bottles. Use the distributive property to mentally calculate the total cost of the bottles of saline.

Use mental math to solve the equation. \((m)(2)=24\)

Write the sentence as an equation or an inequality. Let x represent the number. 8 more than a number is 17 .

Use mental math to solve the equation. \(t+6=10\)

Determine whether the statement is true or false. Use the subtraction rule or a number line to support your answer. $$ 4 \cdot(12 \div 6)-5 $$

Evaluate the expression for the given value of the variable. $$ -5(6)(a) \text { when } a=-2 $$

Evaluate the expression $$ 1.4-6.2-9.1 $$

Check to see if the given value of the variable is or is not a solution of the equation. \(x+5=10 ; x=7\)

You are shopping for school supplies. You want to buy 7 notebooks for $1.05 each. Use the distributive property to mentally calculate the total cost of the notebooks.

Use mental math to solve the equation. \(r \div 6=2\)

Write the sentence as an equation or an inequality. Let x represent the number. The quotient of 15 and a number is greater than or equal to 3 .

Use mental math to solve the equation. \(2 a=8\)

Determine whether the statement is true or false. Use the subtraction rule or a number line to support your answer. $$ (10-2) \cdot 7+8 $$

Evaluate the expression for the given value of the variable. $$ -3(t)(t) \text { when } t=-1 $$

Evaluate the expression. $$ 5-\frac{1}{2}-\frac{1}{4} $$

Check to see if the given value of the variable is or is not a solution of the equation. \(7 y-15=6 ; y=3\)

You are volunteering for a charity that is operating a haunted house. You are sent to the store to buy 5 bags of cotton balls that will be used to make spider web decorations. Each bag costs $2.09. Use the distributive property to mentally calculate the total cost of the cotton balls.

Draw a line graph to represent the function given by the input-output table. \(\begin{array}{|c|c|c|c|c|c|c|}\hline \text { Input x} & {1} & {2} & {3} & {4} & {5} & {6} \\ \hline \text { Output y} & {22} & {20} & {18} & {16} & {14} & {12} \\ \hline\end{array}\)

Write the sentence as an equation or an inequality. Let x represent the number. 9 times a number is less than 6

Use mental math to solve the equation. \(15 \div r=3\)

The table below gives the number of male and female participants in high school sports for three school years. Based on the table, explain whether the statement is true or false. $$ \begin{array}{|c|c|c|c|} \hline & {\text { High School Sports Participants (millions) }} & {} & {} \\ \hline \text { Year } & {1994-95} & {1995-96} & {1996-97} \\ \hline \text { Male } & {3.54} & {3.63} & {3.71} \\ \hline \text { Female } & {2.24} & {2.37} & {2.24} \\ \hline \end{array} $$ There were more than six million total participants during \(1994 1995\)

Evaluate the expression for the given value of the variable. $$ 7(2)(-w)(-w) \text { when } w=6 $$

Evaluate the expression. $$ -\frac{2}{3}-\frac{1}{6}-\left(-\frac{5}{9}\right) $$

Check to see if the given value of the variable is or is not a solution of the equation. \(17-3 w=2 ; w=5\)

You see a sign at the grocery store that reads, “Buy 2 half-gallons of frozen yogurt and get one free.” Each half-gallon of frozen yogurt costs $4.95. You decide to get three half-gallons. Use the distributive property to mentally calculate the total cost of the frozen yogurt.

Draw a line graph to represent the function given by the input-output table. \(\begin{array}{|c|c|c|c|c|c|c|}\hline \text { Input x} & {1} & {2} & {3} & {4} & {5} & {6} \\ \hline \text { Output y} & {0} & {5} & {10} & {15} & {20} & {25} \\ \hline\end{array}\)

Graph the numbers on a number line. Then write two inequalities that compare the numbers. \begin{equation} 7,-7 \end{equation}

Use mental math to solve the equation. \(\frac{k}{2}=8\)

Evaluate the expression for the given value of the variable. $$ -8.3(-1.2)(p) \text { when } p=3 $$

Complete the statement using \(<,>,\) or \(=\) $$ -3 ? 3 $$

Check to see if the given value of the variable is or is not a solution of the equation. \(a^{2}-3=5 ; a=4\)

Evaluate the expression. \(|2|\)

Graph the numbers on a number line. Then write two inequalities that compare the numbers. \begin{equation} -2,-6 \end{equation}

Use mental math to solve the equation. \(\frac{27}{n}=9\)

Graph the numbers on a number line. $$ -1,9,3 $$

Evaluate the expression for the given value of the variable. $$ -\frac{10}{3}\left(\frac{12}{2}\right)(d) \text { when } d=-4 $$

Complete the statement using \(<,>,\) or \(=\) $$ 5 ?-6 $$

Check to see if the given value of the variable is or is not a solution of the equation. \(1+p^{3}=9 ; p=2\)