Name _________________________________
Chapter 3 Review
Chapter 3 Outline (Systems of Equations)
3.1
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Classify systems without graphing and state the number of solutions
Determine if a point is a solution to the system
Solve system of equations by graphing
Classify each system without graphing and state the number of solutions.
𝒂. {
−3𝑥 + 2𝑦 = 8
𝑦 =4−𝑥
𝒃. {
6𝑥 + 3𝑦 = 15
𝑦 = −2𝑥 + 5
𝒃. {
𝑦 =𝑥+6
𝑦 = −2𝑥
𝑦 = 2𝑥 + 9
𝒄. {
4𝑥 − 2𝑦 = 3
Graph each system and find the solution.
𝒂. {
𝑦 = −4𝑥 + 5
𝑦 = 3𝑥 − 9
3𝑥 − 2𝑦 = 4
𝒄. {
2𝑥 + 𝑦 = 5
Identify the point of intersection listed below each system that is the solution to the system.
Name _________________________________
Chapter 3 Review
3.2
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Substitution Method
Elimination Method
Applications
Solve each system of equations.
Frank works at a bookstore. Some days he works in the store as a salesperson and is paid $9.25/h. Other days he works in the warehouse doing inventory and is paid
$11.50/h. This week he worked a total of 36 hours and was paid $378.00. How many hours did he work as a salesperson, and how many hours did he do inventory?
Find the value of two numbers if their sum is 12 and their difference is 4.
Gus is 13 years older than Jim. The sum of their ages is 41. Find the age of each.
Tina drove 4 times as far as Rhonda drove. The sum of these distances is 150 miles. How far did each drive?
A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25 per lb and almonds cost $3.80 per lb. There are twice as many cashews as almonds in the
can. How many pounds of each type are in the can?
Separate $63 into two parts so that one amount is $12 less than twice the other amount.
Flying into the wind a plane travels 253 mph and 197 mph against the wind. How fast does the plane fly in still air and what is the speed of the wind?
At a local sandwich shop, you buy 5 hot dogs and 3 hamburgers for $13.75. You pay $17.50 for 2 hot dogs and 6 hamburgers. What is the cost of one hot dog and
one hamburger?
Name _________________________________
3.3
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Graph a system of inequalities
Write a system of inequalities given a graph
Graph the systems of inequalities.
𝑦 ≥5
{
𝑥 < −3
Match each system of inequalities with its graph.
Write a system of inequalities for the solution shown on each graph.
Chapter 3 Review