Chapter 1

Evaluate the expression \(32-x^{2}+9\) when \(x=2.\) $$F)19\quad G)21\quad H)37\quad J)39$$

Count the number of cubic units along the edges of the cube. Write and evaluate the power that gives the volume of the cube in cubic units.

CHECKING SOLUTIONS OF INEQUALITIES Check to see if the given value of the variable is or is not a solution of the inequality. $$ 7 g \geq 47 ; g=7 $$

SIMPLIFYING EXPRESSIONS Simplify the expression without using a calculator. $$ \left(\frac{30}{10}\right)(5) $$

Which expression has a value of \(12 ?\) $$(A) 3+3 \times 5-2$$ $$(B) 18 \div 6 \times 3+3$$ $$(C) 7+14 \div 7 \times 4$$ $$(D) 2^{2} \cdot 3-6 \cdot 2$$

Count the number of cubic units along the edges of the cube. Write and evaluate the power that gives the volume of the cube in cubic units.

CHECKING SOLUTIONS OF INEQUALITIES Check to see if the given value of the variable is or is not a solution of the inequality. $$ 72 \div t>6 ; t=12 $$

SIMPLIFYING EXPRESSIONS Simplify the expression without using a calculator. $$ (60)\left(\frac{2}{12}\right) $$

Evaluate the expression \(\frac{3^{2}+6-5}{2 \cdot 5}.\) $$(F)1\quad (G)5\quad\quad (H)7\quad (J)10$$

Count the number of cubic units along the edges of the cube. Write and evaluate the power that gives the volume of the cube in cubic units.

SELLING CARDS Your community center is selling cards. Your goal is to sell 100 dollars worth of cards. Each box sells for 3 dollars. Using mental math, solve the inequality \(3 b \geq 100\) to determine at least how many boxes you must sell to meet your goal.

SIMPLIFYING EXPRESSIONS Simplify the expression without using a calculator. $$ \left(\frac{3}{15}\right)\left(\frac{5}{6}\right) $$

Evaluate the expression for the given value of the variable. \((L e s s o n \quad 1.1)\). $$(8) (a) when a=4$$

You are making candles. You melt paraffin wax in the cubic container shown below. Each edge of the container is 6 inches in length. The container is half full. What is the volume of the wax in this container?

BUYING A GUITAR You are budgeting money to buy a guitar that 150 dollars including tax. If you save 20 dollars per month, will you have enough money in 6 months? Use the inequality \(20 n \geq 150\) to model the situation, where \(n\) represents the number of months.

ADDING DECIMALS Add. $$ 2.3+4.5 $$

Evaluate the expression for the given value of the variable. \((L e s s o n \quad 1.1)\). $$\frac{24}{x} when x=3$$

You are making candles. You melt paraffin wax in the cubic container shown below. Each edge of the container is 6 inches in length. The container is half full. Each edge of a second cubic container is 4 inches in length. Can this second candle mold hold the same amount of melted wax that is in the candle mold shown at the right? Explain your answer.

ADDING DECIMALS Add. $$ 16.8+7.1 $$

Evaluate the expression for the given value of the variable. \((L e s s o n \quad 1.1)\). $$ c+15 \text { when } c=12 $$

Use mental math to fill in the missing number so that all the equations have the number 6 as a solution. a. \(?+x=18\) b. \(\quad ? \quad x=30 \quad\) c. \(\frac{?}{x}=6\)

ADDING DECIMALS Add. $$ 0.09+0.05 $$

Evaluate the expression for the given value of the variable. \((L e s s o n \quad 1.1)\). $$ \frac{x}{2} \cdot x \text { when } x=18 $$

MULTIPLE CHOICE Which is a solution of the equation \(5(8-x)=25 ?\) A. 2 B. 3 C. 4 D. 5

Evaluate the expression \(2 x^{2}\) when \(x=5\) $$ \begin{array}{lllll} {\text { A) } 20} & {\text { (B) } 40} & {\text { (C) } 50} & {\text { (D) } 100} \end{array} $$

ADDING DECIMALS Add. $$ 1.0008+10.15 $$

Evaluate the expression for the given value of the variable. \((L e s s o n \quad 1.1)\). $$9t\quad when\quad t=7$$

MULTIPLE CHOICE For which inequality is \(x=238\) a solution? F. \(250 \geq x+12\) G. \(250x+12\) J. \(250 \leq x+1\)

Evaluate the expression \(2 x^{2}\) when \(x=5\) (F) 10 (G) 100 (H) 1000 (J) 10000

ADDING DECIMALS Add. $$ 123.8+0.03 $$

Evaluate the expression for the given value of the variable. \((L e s s o n \quad 1.1)\). $$ 25-y \text { when } y=14 $$

MULTIPLE CHOICE The width of a soccer field cannot be greater than 100 yards. The area cannot be greater than \(13,000\) square yards. Which of the following would you use to find the possible length \(x\) of a soccer field? A. \(100 x \geq 13,000\) B. \(100 x \leq 13,000\) C. \(100+x \leq 13,000\) D. \(100 x=13,000\)

ADDING DECIMALS Add. $$ 46+7.55 $$

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. (Lesson 1.1) \(b-12\) when \(b=43\)

ADDING DECIMALS Add. $$ 0.32+0.094 $$

Write the expression in exponential form.(Lesson 1.2) $$z\quad to\quad the\quad sixth\quad power$$

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. (Lesson 1.1) \(12+x\) when \(x=4\)

ADDING DECIMALS Add. $$ 6.105+7.3 $$

Write the expression in exponential form.(Lesson 1.2) $$ 2 b \cdot 2 b \cdot 2 b $$

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. (Lesson 1.1) \(12 n\) when \(n=4\)

ADDING DECIMALS Add. $$ 2.008+1.10199 $$

Evaluate the expression for the given value of the variable. \(9 j\) when \(j=5\)

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. (Lesson 1.1) \(\frac{y}{15}\) when \(y=30\)

Evaluate the expression for the given value of the variable.(Lesson \(1.2)\). $$ (7 h)^{3} \text { when } h=1 $$

WRITING POWERS Write the expression in exponential form. (Lesson \(1.2)\) \(3 \cdot 3 \cdot 3 \cdot 3 \cdot 3\)

Evaluate the expression for the given value of the variable.(Lesson \(1.2)\). $$ (6 w)^{2} \text { when } w=5 $$

WRITING POWERS Write the expression in exponential form. (Lesson \(1.2)\) seven squared

Determine whether the number is prime or composite. If it is composite, list all of its factors. (Skills Review p. 761) $$15$$

WRITING POWERS Write the expression in exponential form. (Lesson \(1.2)\) \(y \cdot y \cdot y \cdot y\)

Evaluate the expression for the given value of the variable. \(25-n\) when \(n=3\)