3-5 Solve It!
How much does each
box weigh? Explain
your reasoning.
Hmm, this
problem has
three unknown
quantities.
3-5 Lesson Quiz
1. What is the solution of the system? Use elimination.
x 1 y 2 3z 5 28
• 2x 2 2y 1 z 5 4
2x 1 y 1 4z 5 7
2. What is the solution of the system? Use elimination.
2x 1 2y 1 z 5 7
• 2x 2 y 1 z 5 25
x 1 3y 2 4z 5 12
3. What is the x-value in the solution of the system?
x 2 3y 1 2z 5 14
•
3x 2 2z 5 7
2x 2 y 5 9
4. Do you UNDERSTAND? You manage a health food store and
budget $80 to buy ingredients to make 30 pounds of trail mix.
Peanuts cost $2.50 per pound, raisins cost $2.00 per pound,
and granola costs $4.00 per pound. If you use twice as many
pounds of peanuts as raisins, how many pounds of each
ingredient should you buy?
Answers
Solve It!
Lesson Quiz
3. 3
4. 16 lb of peanuts, 8 lb of
raisins, 6 lb of granola
A: 2 lb, B: 4 lb, C: 6 lb
1. (3, 22, 3)
B 1 C 5 10; C 5 3A; B 5 2A
2. (2, 2, 21)
Therefore, 2A 1 3A 5 10 and A 5 2.
Use substitution to find the weights of each box.
Prentice Hall Algebra 2 • Solve It/Lesson Quiz on Transparencies
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