Chapter 2

Evaluate. \(2 x+7,\) where \(x=-4\)

Determine whether the given number is a solution to the given inequality. $$ 2 x-3<6 ; \quad x=-1 $$

Graph all solutions on a number line and provide the corresponding interval notation. $$ x \leq 10 $$

Express each ratio in reduced form. 100 inches : 250 inches

Translate the following into algebraic equations. The sum of a number and 6 is 37 .

Is the given value a solution to the linear equation? $$ x-6=20 ; x=26 $$

Multiply. $$ 3(3 x-2) $$

List all of the coefficients and variable parts of the following expressions. $$ 4 x-1 $$

Evaluate. \(-4 x+1,\) where \(x=-2\)

Determine whether the given number is a solution to the given inequality. $$ -3 x+1 \leq 0 ; \quad x=-2 $$

Graph all solutions on a number line and provide the corresponding interval notation. $$ x>-5 $$

Express each ratio in reduced form. 480 pixels : 320 pixels

Translate the following into algebraic equations. When 12 is subtracted from twice some number the result is \(6 .\)

Is the given value a solution to the linear equation? $$ y+7=-6 ; \quad y=-13 $$

Multiply. $$ 12(-5 y+1) $$

List all of the coefficients and variable parts of the following expressions. $$ -7 x 2-2 x+1 $$

Evaluate. \(23 y-12,\) Where \(y=35\)

Determine whether the given number is a solution to the given inequality. $$ 5 x-20>0 ; x=3 $$

Graph all solutions on a number line and provide the corresponding interval notation. $$ x>0 $$

Express each ratio in reduced form. 96 feet : 72 feet

Translate the following into algebraic equations. Fourteen less than 5 times a number is \(1 .\)

Is the given value a solution to the linear equation? $$ -x+5=17 ; x=12 $$

Multiply. $$ -2(x+1) $$

Evaluate. \(-34 y+53,\) where \(y=23\)

Determine whether the given number is a solution to the given inequality. $$ 12 x+1>-34 ; \quad x=-14 $$

Graph all solutions on a number line and provide the corresponding interval notation. $$ x \leq 0 $$

Express each ratio in reduced form. 240 miles4 hours

Translate the following into algebraic equations. Twice some number is subtracted from 30 and the result is \(50 .\)

Is the given value a solution to the linear equation? $$ -2 y=44 ; y=11 $$

Evaluate. \(b_{2}-4 a c,\) where \(a=5, b=-2,\) and \(c=12\)

Determine whether the given number is a solution to the given inequality. $$ -5<7 x+1<9 ; x=0 $$

Simplify. $$ x^{2}-y_{2}+2 x_{2}-3 y $$

Graph all solutions on a number line and provide the corresponding interval notation. $$ x \leq-3 $$

Express each ratio in reduced form. 96 feet 3 seconds

Translate the following into algebraic equations. Five times the sum of 6 and some number is 20 .

Is the given value a solution to the linear equation? $$ 4 x=-24 ; x=-6 $$

List all of the coefficients and variable parts of the following expressions. $$ 13 y 2-12 y+57 $$

Evaluate. \(b_{2}-4 a c,\) where \(a=-14, b=-1,\) and \(c=-3\)

Determine whether the given number is a solution to the given inequality. $$ -20 \leq-3 x-5 \leq-10 ; x=5 $$

Graph all solutions on a number line and provide the corresponding interval notation. $$ x \geq-1 $$

Express each ratio in reduced form. 6,000 revolutions4 minutes

Translate the following into algebraic equations. The sum of 5 times some number and 6 is 20 .

Is the given value a solution to the linear equation? $$ 5 x-1=34 ; x=-7 $$

Multiply. $$ -35(10 x-5) $$

List all of the coefficients and variable parts of the following expressions. $$ -4 a 2 b+5 a b 2-a b+1 $$

Simplify. $$ 15 a-34 b+315 a-12 b $$

Determine whether the given number is a solution to the given inequality. $$ x<-3 \text { or } x>3 ; x=-10 $$

Graph all solutions on a number line and provide the corresponding interval notation. $$ -4

Google's average 2008 stock price and earnings per share were \(\$ 465.66\) and \(\$ 14.89\), respectively. What was Google's average price-to-earnings ratio in 2008 ? (Source: Wolfram Alpha)

Translate the following into algebraic equations. When the sum of a number and 3 is subtracted from 10 the result is \(5 .\)