Chapter 1

Evaluate the power. \(7^{5}\)

Evaluate the expression. $$ 3 \cdot 2+\frac{5}{9} $$

Match the sentence with its equation. Let x represent the number. A number decreased by 4 is 2. A. \(x-4=2\) B. \(x+2=4\) C. \(\frac{x}{4}=2\) D. \(2 x=4\)

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 16 \leq b^{2} $$

Evaluate the expression for the given value of the variable. $$ \frac{1}{2}+t \text { when } t=2 $$

Jim lives in a state in which speeders are fined \(\$ 25\) for a speeding ticket plus \(\$ 10\) for each mile per hour over the speed limit. Jim was given a ticket for \(\$ 175\) for speeding in a 45 mile per hour zone. Which equation can be used to find how fast Jim was driving? (F) \(45+(x-45) \cdot 10=175-25\) (G) \(x-45 \cdot 10=175-25\) (h) \((x+45) \cdot 10=175-25\) (J) \((x-45) \cdot 10=175-25\)

In 1866 Texas cowhands used the Chisholm Trail to drive cattle north to the railroads in Kansas. The average rate r that the cattle could be moved along the trail was 11 miles per day. a. Write an equation, where \(d\) is distance and \(t\) is time in days. b. Make a table of input \(t\) and output \(d\) for \(t=7,14,\) and 28 Then graph the data. c. The distance \(d\) from San Antonio to Abilene was about 1100 miles. How long did it take to drive cattle the entire length of the trail?

Evaluate the power. \(2^{6}\)

Evaluate the expression for the given value of the variable. $$ \frac{b}{7} \text { when } b=14 $$

Match the sentence with its equation. Let x represent the number. A number divided by 4 is 2. A. \(x-4=2\) B. \(x+2=4\) C. \(\frac{x}{4}=2\) D. \(2 x=4\)

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 60>7 b+3 $$

Evaluate the expression for the given value of the variable. $$ \frac{d}{12} \text { when } d=36 $$

While you are on vacation, you want to rent scuba equipment. It costs about \(\$ 90\) a day to rent the equipment. Find the cost of renting equipment for \(1,2,3,\) and 4 days. a. Write an equation where \(R\) is the total rental cost and \(n\) is the number of days. Make an input-output table. b. Draw a graph that represents the function.

Evaluate the power. \(5^{4}\)

Write the sentence as an equation or an inequality. Let x represent the number. The sum of 20 and a number is 30.

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 18-b<10 $$

Evaluate the expression for the given value of the variable. ( 4)\((n)\) when \(n=5\)

WATER TEMPERATURE The table below gives the temperature of water as it cools. Using this table, draw a graph that estimates the temperature of the water for \(t \geq 0\) and \(t \leq 25\) $$ \begin{array}{|c|c|c|c|c|c|} \hline \text { Time (minutes) } & {0} & {5} & {10} & {15} & {20} & {25} \\ \hline \text { Temperature ( } {\left.^{\circ} \mathrm{C}\right)} & {100} & {90} & {81} & {73} & {66} & {60} \\ \hline \end{array} $$

Evaluate the power. \(1^{8}\)

Write the sentence as an equation or an inequality. Let x represent the number. A number increased by 10 is greater than or equal to 44.

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 37 \geq 4 b $$

Evaluate the expression for the given value of the variable. \(8 a\) when \(a=6\)

The function \(y=x^{2}\) has a U-shaped graph called a parabola. If the domain of this function is given as \(x \geq 0\) and \(x \leq 4,\) find the range.

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ 17-x<12 $$

Evaluate the power. \(10^{3}\)

Write the sentence as an equation or an inequality. Let x represent the number. 18 decreased by a number is 6.

CHECKING SOLUTIONS OF EQUATIONS. Check to see if the given value of the variable is or is not a solution of the equation. $$ 3 b+1=13 ; b=4 $$

Evaluate the expression. $$22-4^{2} \div 2$$

Which table does not represent a function? $$ \begin{aligned} &(A)\\\ &\begin{array}{|c|c|} \hline \text { input } & {\text { Output }} \\ \hline 1 & {3} \\ \hline 2 & {3} \\ \hline 3 & {3} \\ \hline 4 & {3} \\ \hline \end{array} \end{aligned} $$ $$ \begin{aligned} &(B)\\\ &\begin{array}{|c|c|} \hline \text { input } & {\text { Output }} \\ \hline 1 & {2} \\ \hline 2 & {4} \\ \hline 3 & {6} \\ \hline 4 & {8} \\ \hline \end{array} \end{aligned} $$ $$ \begin{aligned} &\mathbf{C}\\\ &\begin{array}{|c|c|} \hline \text { Input } & {\text { Output }} \\ \hline 5 & {4} \\ \hline 6 & {4} \\ \hline 7 & {5} \\ \hline 8 & {5} \\ \hline \end{array} \end{aligned} $$ $$ \begin{aligned} &(\mathbf{D})\\\ &\begin{array}{|c|c|} \hline \text { Input } & {\text { Output }} \\ \hline 5 & {1} \\ \hline 5 & {3} \\ \hline 6 & {1} \\ \hline 6 & {3} \\ \hline \end{array} \end{aligned} $$

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ x+3 x \geq 18 $$

Evaluate the expression. $$ 2^{3}+5-2 $$

Evaluate the power. \(0^{6}\)

Write the sentence as an equation or an inequality. Let x represent the number. 35 is less than the difference of 21 and a number.

CHECKING SOLUTIONS OF EQUATIONS. Check to see if the given value of the variable is or is not a solution of the equation. $$ 5 r-10=11 ; r=5 $$

Evaluate the expression for the given value of the variable. \(12-x\) when \(x=3\)

Evaluate the expression. $$4+8 \cdot 4-1$$

Which function has an output of \(j=27\) for an input of \(a=3 ?\) $$ \text {F}\quad j=4 a+15 \quad \text {G}\quad j=15 a+4 \text {H}\quad j=15 \cdot 4 a \quad \text {J}\quad j=27 a $$

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ 5 x \div 2=12.5 $$

Evaluate the expression. $$ 4 \cdot 2+15 \div 3 $$

Evaluate the expression for then given value of the variable. \(w^{2}\) when \(w=12\)

Write the sentence as an equation or an inequality. Let x represent the number. The product of 13 and a number is greater than 60.

CHECKING SOLUTIONS OF EQUATIONS. Check to see if the given value of the variable is or is not a solution of the equation. $$ 4 c+2=10 ; c=2 $$

Evaluate the expression for the given value of the variable. \(9-y\) when \(y=8\)

Evaluate the expression. $$2 \cdot 4+(7-3)$$

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ 2.5>1.2 x-3 $$

Evaluate the expression. $$ 6 \div 3+2 \cdot 7 $$

Evaluate the expression for then given value of the variable. \(b^{3}\) when \(b=9\)

Write the sentence as an equation or an inequality. Let x represent the number. 7 times a number is 56.

CHECKING SOLUTIONS OF EQUATIONS. Check to see if the given value of the variable is or is not a solution of the equation. $$ 6 d-5=31 ; d=6 $$

Evaluate the expression for the given value of the variable. \(10 r\) when \(r=7\)