Mathematics Grade 7 15 min

Solve a system of equations by graphing: word problems

Solve a system of equations by graphing: word problems

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1

Mia buys 1 pen and 2 pencils for $5. Leo buys 2 pens and 1 pencil for $4. Find the cost of each.

2

Runner A starts 2 miles ahead and runs 1 mph. Runner B starts at 0 and runs 2 mph. When do they meet?

3

A mix has 5 lbs of nuts. Almonds (x) cost $2/lb and walnuts (y) cost $1/lb. The total cost is $7. How many lbs of each?

Sample Practice Questions

Easy
1 soda and 1 pretzel cost $3. 1 soda and 2 pretzels cost $4. Find the costs (soda, pretzel).
0.(2, 1)
1.(1, 2)
2.(1, 1)
3.(2, 2)
Easy
Car A is at mile 1 and drives 1 mph. Car B is at mile 0 and drives 2 mph. When do they meet (hours, miles)?
0.(1, 2)
1.(2, 1)
2.(1, 1)
3.(2, 2)
Easy
A bag has 3 coins (dimes, nickels). The total value is 20 cents. How many of each (dimes, nickels)?
0.(1, 2)
1.(2, 1)
2.(0, 3)
3.(3, 0)

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