Chapter 7

MULTIPLE CHOICE Find the \(x\) -value of the solution for the linear system below. \(y=2 x-2\) \(y=3 x+1\) \((\mathbf{A})-8\) \((\mathbf{B})-3\) (c) 3 (D) 8

Check whether each ordered pair is a solution of the inequality. $$5 x+y>5 ;(5,5),(-5,-5)$$

Solve the inequality. Then graph its solution. $$3>-x>-1$$

RELAY RACE The total time for a two-member team to complete a 5765 -meter relay race was 19 minutes. The first runner averaged 285 meter \(=\) per minute and the second runner averaged 335 meters per minute. Use the verbal model to find how many minutes the first runner ran. [Time for \(1 \text { st runner }+\text { Time for } 2 \text { nd runner }]=\) ]Total time Distance for \(1 ]\text { st runner }]+[\text { Distance for } 2 \text { nd runner }]=\) Total distance]

Check whether each ordered pair is a solution of the inequality. $$12 y-3 x \leq 3 ;(-2,4),(1,-1)$$

Solve the inequality. Then graph its solution. $$2 x-6<-7 \text { or } 2 x-6>5$$

Decide whether the graphs of the two equations are $$ y=4 x+3 ; 2 y-8 x=-3 $$

Use substitution to solve the linear system. $$\begin{aligned} &-6 x-5 y=28\\\ &x-2 y=1 \end{aligned}$$

Solve the inequality. Then graph its solution. $$3 x-2>4 \text { or } 3 x-2<-5$$

Decide whether the graphs of the two equations are $$ 4 y+5 x=1 ; 10 x+2 y=2 $$

Use substitution to solve the linear system. $$\begin{aligned} &m+2 n=1\\\ &5 m-4 n=-23 \end{aligned}$$

Decide whether the graphs of the two equations are $$ 3 x+9 y+2=0 ; 2 y=-6 x+3 $$

Use substitution to solve the linear system. $$\begin{aligned} &g-5 h=20\\\ &4 g+3 h=34 \end{aligned}$$

Decide whether the graphs of the two equations are $$ 4 y-1=5 ; 6 y+2=8 $$

Use substitution to solve the linear system. $$\begin{aligned} &p+4 q=-9\\\ &2 p-3 q=4 \end{aligned}$$

Graph the function. $$ f(x)=2 x+3 $$

Use substitution to solve the linear system. $$\begin{aligned} &\frac{3}{5} b-a=0\\\ &1+b=2 a \end{aligned}$$

Graph the function. $$ h(x)=x+5 $$

Use substitution to solve the linear system. $$\begin{aligned} &d-e=8\\\ &\frac{1}{5} d=e+4 \end{aligned}$$

Graph the function. $$ g(x)=-3 x-1 $$