Chapter 3

The caterer at a brunch bought several pounds of chicken salad and several pounds of tuna salad. The chicken salad cost \(\$ 9\) per pound, and the tuna salad cost \(\$ 6\) per pound. He bought a total of 14 pounds of salad and paid a total of \(\$ 111 .\) How much chicken salad did he buy? F. 6 pounds G. 7 pounds H. 8 pounds J. 9 pounds

Find each value if \(f(x)=4 x+3\) and \(g(x)=5 x-7\). $$ g(-1) $$

Evaluate each expression if \(x=-2, y=6,\) and \(z=5\) $$ x+y+z $$

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent. \(y=x+2\) \(y=x-1\)

Find each value if \(f(x)=4 x+3\) and \(g(x)=5 x-7\). $$ g(3) $$

Simplify each expression. \((3 x+5)-(2 x+3)\)

Evaluate each expression if \(x=-2, y=6,\) and \(z=5\) $$ 2 x-y+3 z $$

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent. \(4 y-2 x=4\) \(y-\frac{1}{2} x=1\)

Find each value if \(f(x)=4 x+3\) and \(g(x)=5 x-7\). $$ g(-0.25) $$

Simplify each expression. \((3 y-11)+(6 y+12)\)

Evaluate each expression if \(x=-2, y=6,\) and \(z=5\) $$ -x+4 y-2 z $$

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent. \(3 x+y=1\) \(y=2 x-4\)

Simplify each expression. \((5 x-y)+(-8 x+7 y)\)

Evaluate each expression if \(x=-2, y=6,\) and \(z=5\) $$ 5 x+2 y-z $$

Graph each inequality. \(x+y \leq 3\)

Simplify each expression. 6\((2 x+3 y-1)\)

Evaluate each expression if \(x=-2, y=6,\) and \(z=5\) $$ 3 x-y+4 z $$

Graph each inequality. \(5 y-4 x<-20\)

Simplify each expression. 5\((4 x+2 y-x+2)\)

Evaluate each expression if \(x=-2, y=6,\) and \(z=5\) $$ -2 x-3 y+2 z $$

Graph each inequality. \(3 x+9 y \geq-15\)

Simplify each expression. \(3(x+4 y)-2(x+4 y)\)

Write each equation in standard form. Identify A, B, and C. \(y=7 x+4\)

Write each equation in standard form. Identify A, B, and C. \(x=y\)

Write each equation in standard form. Identify A, B, and C. \(3 x=2-5 y\)

Write each equation in standard form. Identify A, B, and C. \(6 x=3 y-9\)

Write each equation in standard form. Identify A, B, and C. \(y=\frac{1}{2} x-3\)

Write each equation in standard form. Identify A, B, and C. \(\frac{2}{3} y-6=1-x\)

Find the amount of current \(I\) (in amperes) produced if the electromotive force \(E\) is 1.5 volts, the circuit resistance \(R\) is 2.35 ohms, and the resistance \(r\) within a battery is 0.15 ohms, using the formula \(I=\frac{E}{R+r}\).

Determine whether the given point satisfies each inequality. \(3 x+2 y \leq 10 ;(2,-1)\)

Determine whether the given point satisfies each inequality. \(4 x-2 y>6 ;(3,3)\)

Determine whether the given point satisfies each inequality. \(7 x+4 y \geq-15 ;(-4,2)\)