Study Guide Topic 4: Systems of Equations and Inequalities
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10 questions
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Review of Systems of Equations and Inequalities
Question 1
1.
Graph:
2x - y > -3
Question 2
2.
Graph:
y < 2x + 1
2x - 5y < 10
Question 3
3.
Solve by graphing:
x + y = 4
2x - 5y = 15
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter.
Question 9
9.
Question 10
10.
Solve by elimination:
2x - y = 11
7x - 3y = 15
(-47, -18)
Infinite Solutions
(-18, -47)
No solutions
Find the value of y:
y = 2x + 3
y = -x - 9
4
-5
-4
5
Solve:
2x + 8y = 6
5x + 20y = 15
(-10, -40)
Infinite Solutions (All Real Numbers)
(10, 40)
No solution
Select the systems that have the same solution
8x - 16y = 14
-x + 5y = -3
3x - 15y = 9
8x - 16y = -7
-x + 5y = -3
-4x + 8y = -7
A tournament has 187 athletes. There are 91 more girls than boys. Let x equal the number of girls and let y equal the number of boys. Select the two equations that would represent this system.
x+91=y
x+y=187
y = 91x+187
y+91=x
x+91=187y
x=187+y
Tom is going to save money by walking his neighbor’s dog (d) for $6 per hour and washing cars for (c) $7.50 per hour. He can work no more than 15 hours and must walk the dog at least 2 hours. Tom needs to make $75 or more.
Write a system of inequalities using these constraints. Select ALL of the equations that apply.