Chapter 1

Check to see if the given value of the variable is or is not a solution of the equation or the inequality. $$2 x-3<15 ; x=9$$

Evaluate the variable expression when a = 3 and c = 5. $$ a+c $$

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ x^{2}=25 $$

Evaluate the expression. $$ 5+8 \cdot 2-4 $$

Evaluate the expression for then given value of the variable. \(c^{4}\) when \(c=3\)

Write the sentence as an equation or an inequality. Let x represent the number. A number divided by 22 is less than 3.

CHECKING SOLUTIONS OF EQUATIONS. Check to see if the given value of the variable is or is not a solution of the equation. $$ 5+x^{2}=17 ; x=3 $$

Evaluate the expression for the given value of the variable. \(13 c\) when \(c=3\)

Evaluate the variable expression when a = 3 and c = 5. $$ (a+c)^{2} $$

Check to see if the given value of the variable is or is not a solution of the equation or the inequality. $$3 x+4 \leq 16 ; x=4$$

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ (3 x)^{2} \leq 255 $$

Evaluate the expression. $$ 16+8 \cdot 2^{2} $$

Evaluate the expression for then given value of the variable. \(h^{5}\) when \(h=2\)

Write the sentence as an equation or an inequality. Let x represent the number. The quotient of 35 and a number is 7.

CHECKING SOLUTIONS OF EQUATIONS. Check to see if the given value of the variable is or is not a solution of the equation. $$ 2 y^{3}+3=5 ; y=1 $$

Evaluate the expression for the given value of the variable. $$ \frac{18}{x} \text { when } x=3 $$

Evaluate the variable expression when a = 3 and c = 5. $$ a^{2}+c^{2} $$

Check to see if the given value of the variable is or is not a solution of the equation or the inequality. $$16+x^{2} \div 4=17 ; x=2$$

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ 3 x+2 x=25 $$

Evaluate the expression. \(2 \cdot 3^{2}-7\)

Evaluate the expression for then given value of the variable. \(h^{5}\) when \(h=2\)

Write the sentence as an equation. Let x represent the number. Use mental math to solve the equation. Then check your solution. The sum of a number and 10 is 15.

CHECKING SOLUTIONS OF EQUATIONS. Check to see if the given value of the variable is or is not a solution of the equation. \(9+2 t=15 ; t=12\)

Evaluate the expression for the given value of the variable. $$ \frac{63}{k} \text { when } k=9 $$

Evaluate the variable expression when a = 3 and c = 5. $$ a c $$

Check to see if the given value of the variable is or is not a solution of the equation or the inequality. Your fundraising group earns 25¢ for each lemonade and 50¢ for each taco sold. One hundred tacos are sold. Your total profit is $100. How many lemonades are sold? Write an equation that models this situation. Solve the equation using mental math.

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ 19-2 x>10 $$

Evaluate the expression. $$ 10-3+(2+5) $$

Evaluate the expression for then given value of the variable. \(x^{3}\) when \(x=5\)

Write the sentence as an equation. Let x represent the number. Use mental math to solve the equation. Then check your solution. 28 decreased by a number is 18.

CHECKING SOLUTIONS OF EQUATIONS Check to see if the given value of the variable is or is not a solution of the equation. \(n^{2}-5=20 ; n=5\)

DRIVING DISTANCE You are driving across the country at an average speed of 65 miles per hour. Using an appropriate formula, find the distance you travel in 4 hours.

Evaluate the variable expression when a = 3 and c = 5. $$ a \cdot\left(c^{2}\right) $$

Write the improper fraction as a mixed number. 34\. \(\frac{3}{2}$$ 35 . \frac{7}{4}$$ 36 . \frac{11}{3}$$ 37 . \frac{13}{6}\) 38\. \(\frac{16}{5}\) 39\. \(\frac{21}{9}\) 40\. \(\frac{18}{4}\) 41\. \(\frac{15}{7}\) 42\. \(\frac{30}{8}\) 43\. \(\frac{54}{12}\) 44\. \(\frac{84}{36}\) \(45 \cdot \frac{20}{3}\)

Check to see if x = 5 is or is not a solution of the equation or the inequality. $$ 16 \leq 3 x+1 $$

Evaluate the expression. $$ 7+18-(6-3) $$

Use a calculator to evaluate the power. \(8^{6}\)

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ x+3=8 $$

Write the sentence as an equation. Let x represent the number. Use mental math to solve the equation. Then check your solution. The product of a number and 25 is 100.

Find the distance traveled using \(d=r t\). A train travels at a rate of 75 miles per hour for 2 hours.

Write the improper fraction as a mixed number. $$ \frac{7}{4} $$

Evaluate the variable expression when a = 3 and c = 5. $$ \left(a^{2}\right) \cdot c $$

Compare using \(<,>\) or \(=\) $$ 71.717 ? 77.117 $$

Evaluate the expression. $$ [(7 \cdot 4)+3]+15 $$

Use a calculator to evaluate the power. \(13^{5}\)

Write the sentence as an equation. Let x represent the number. Use mental math to solve the equation. Then check your solution. The quotient of 49 and a number is 7.

SOLVING WITH MENTAL MATH Use mental math to solve the equation. $$ n+6=11 $$

Find the distance traveled using \(d=r t\). An athlete runs at a rate of 8 feet per second for 5 seconds.

Write the improper fraction as a mixed number. $$ \frac{11}{3} $$

Write a variable expression for the phrase 9 decreased by a number n.