Ch. 3Mini Review

Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.

y= x + 1y = -x + 3

The solution is(1, 2)

Graph the linear system and tell how many solutions it has. If there is

exactly one solution, estimate the solution and check it algebraically.

X + 2y = -2-3x -6y = 6

There are infinitely many solutions

Solve the Systemx + y = 2

y = 2x + 5

(-1, 3)

Solve the System

y – 2x = -5y – x = -3

(2, -1)

Solve the System

2x – y = -82x + y = 4

(-1, 6)

Solve the System

x + 4y + z = 12

y – 3z = -7z = 3

(1, 2, 3)

Solve the System

x + y + 2z = 5

x + 2y + z = 8

2x + 3y – z = 1

(-7, 6, 3)

Solve the System

2x – y = 95x + 2y =

27

(5, 1)

Solve the System

3x + 5y = 84x + 7z = 18

y + z = 3

(1, 1, 2)

Graph the system of linear inequalities

y ≤ 2x > 3

Graph the system of linear inequalities

x ≥ 0y ≥ 0

2x + y ≤ 4

Earning money You work at a grocery store. Your hourly wage is greater after 6:00 p.m. than it is during the day. One week you work 20 daytime hours and 20 evening hours

and earn $280. Another week you work 30 day time hours and 12 evening

hours and earn a total of $276. What is your daytime rate? What is your

evening rate?

daytime = $6 evening = $8

Telethon During a recent telethon,

people pledged $25 or $50. Twice as many people pledged

$25 as $50. Altogether, $18,000 was pledged. How many people

pledged $25?

360