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Tenth Grade (Grade 10) Systems of Equations Questions

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Grade 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
Alyssa has $2.70 in change in her purse. Her coins consist only of dimes and nickels. She has 39 total coins. How many dimes and nickels does she have?
  1. 14 dimes, 25 nickels
  2. 15 dimes, 24 nickels
  3. 13 dimes, 26 nickels
  4. 12 dimes, 27 nickels
Grade 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
The manager of the White Hall Spartan Movie Theatre found that Saturday's sales were $3,675. He knew that a total of 650 tickets were sold Saturday. Adult tickets cost $7.50, and children's tickets cost $4.50. How many of each kind of ticket were sold?
  1. Children: 250 tickets; Adults: 400 tickets
  2. Children: 160 tickets; Adults: 490 tickets
  3. Children: 344 tickets; Adults: 306 tickets
  4. Children: 400 tickets; Adults: 250 tickets
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
3x+5y=-2
5x+3y=2
  1. x = -1 y = 1
  2. x = 3/5 y = 5/3
  3. x = 1 y = -1
  4. x = 5 y = 3
Grade 10 Systems of Equations CCSS: HSN-VM.B.4, HSN-VM.B.4a
Find the sum. 〈15,-4〉+〈3,4〉
  1. 〈18,8〉
  2. 〈12,8〉
  3. 〈18,0〉
  4. 〈11,7〉
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve for y.
y=-(134)x+7
y=(34)x-9
  1. 4
  2. 6
  3. -4
  4. -6
Grade 10 Systems of Equations
Write an equivalent system with integer coefficients.
5x+(32)y=14
(56)x+5y=7556
  1. 10x+3y=1;5x+30y=1
  2. 10x+3y=28;30x+5y=755
  3. 3x+10y=28;5x+30y=755
  4. 10x+3y=28;5x+30y=755
Grade 10 Systems of Equations
In which quadrant do the graphs of x=-2andy=2x+1 intersect?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
Grade 10 Systems of Equations CCSS: HSA-REI.C.5
Which of the following systems of equations is equivalent to the one given? There may be more than one correct answer.
2x+3y=6
4x+2y=-4
  1. 3y=8,    4x+2y=-4
  2. -2x=10,    4x+2y=-4
  3. 6x+5y=2,    4x+2y=-4
  4. 2x+3y=6,    4y=16
Grade 10 Systems of Equations CCSS: HSA-REI.C.5
Which of the following systems of equations is equivalent to the one given? There may be more than one correct answer.
4x+3y=-2
2x-2y=6
  1. 4x+3y=-2,   -72y=7
  2. 4x+3y=-2,   2x=-8
  3. 7y=-14,   2x-2y=6
  4. x=-11,   2x-2=6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve by substitution.
3x+y=-3
y=x+5
  1. (3,-2)
  2. (-83,-3)
  3. (4,1)
  4. (-2,3)
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Find the values of w and z if (2w+4,z-3w) is the solution of the simultaneous equations x3+4y=33 and 3x-y3=-30.
  1. w=-8.5,z=3
  2. w=-9,z=9
  3. w=-6.5,z=-10.5
  4. w=-7,z=-12
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