Name _______________________
Solve each linear system by graphing.
1
𝑦 =− 𝑥+2
1.
2
3
𝑦 = 𝑥+7
4
:
2𝑥 − 4𝑦 = 8
2.
1
𝑦 =− 𝑥+2
2
Unit 5 Review Sheet
Solve each linear system by substitution.
3.
𝑥 − 2𝑦 = −2
3𝑥 + 2𝑦 = 30
4.
4𝑥 − 3𝑦 = 11
𝑦 − 𝑥 = −2
Solve each linear substitution by elimination.
5.
2𝑥 + 1.5𝑦 = 1
9𝑥 + 3𝑦 = −3
6.
𝑥 + 𝑦 = 10
−3𝑥 + 3𝑦 = 0
Solve each linear system by any method.
7.
-2x + y = -5
4x – 2y = 10
8. 5x + 3y = 13
7x + 8y = -16
Solve each word problem by creating two equations that contain the same two variables.
9. Last week at the supermarket, Mr. Capp bought 10 hamburgers and 3 turkey burgers for $23.50. This week
Mr. Capp bought 6 hamburgers and 4 turkey burgers for $18.50. What is the price of each hamburger and each
chicken burger?
10. During a promotion, a music company gave away a total of 200 t-shirts and MP3 players. The t-shirts cost
$5 each and the MP3s cost $40 dollars each for a total cost of $2400. How many of each item did the music
company give away?
Solve each system of linear inequalities, circle the double shaded region.
11.
y  4x  7
1
y  x 1
7
12.
3x  3 y  6
 2 x  y  2
13. What is the inequality of the graph below? _____________________
14. The science club is selling shirts for $10 and key chains for $2. Their goal is to raise at least $200! Create
and graph an inequality to model the situation. What is a possible combination of shirts and key chains they
could sell to meet or exceed their goal?
15. Sam earns $10 per hour babysitting and $15 per hour working at Target. Her goal is to earn at least $1,000
by the end of the month, however she wants to work no more than 80 hours. Write and graph a system of
inequalities to show the possible number of hours that she can work at each job and make at least 1,000.
Let x represent hours babysitting and y represent hours at Target. (Hint you must create two inequalities)