Chapter 3: Systems of Equations and Inequalities

Solve each system of inequalities by graphing.

$\begin{array}{c}7.x\le 1\\ y<2x+1\\ x+2y\ge -3\end{array}$

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent.

$0.05n+0.10(n+7)=3.55$

Determine whether the given point satisfies each inequality.

$7y+6x<50; \left(-5,5\right)$

Write an algebraic expression to represent each verbal expression.

70. the sum of 8 and 2 times a number

$0.10d+0.25(d+5)=4.05$

Write an algebraic expression to represent each verbal expression.

71. six less than the square of a number

$0.10d+0.25(d+7)=5.25$

Write an algebraic expression to represent each verbal expression.

Four times the sum of a number and 5

dog run in his yard. He wants the length to be 2.5 feet

more than the width. Find the length, L, by solving the

equation 2L + 2(L − 2.5) = 74.