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Tenth Grade (Grade 10) Arithmetic and Number Concepts Questions

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Grade 10 Literal Equations CCSS: HSA-CED.A.4
Given A=12(b1+b2)h, solve for b1.
  1. b1=A2h-b2
  2. b1=2Ah-b2
  3. Both a and b are correct
  4. None of these are correct
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system using the elimination method.
x+y=30
x-y=6
  1. (3,2)
  2. (2,3)
  3. (18,12)
  4. (12,18)
Grade 10 Rational and Irrational Numbers CCSS: HSN-RN.B.3
Which of the following, if added to 10, would result in a rational number? Choose all correct answers.
  1. √3
  2. √16
  3. π
  4. 43
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 Absolute Value
Solve the equation.

|3z-3|=9
  1. No Solution
  2. {-4,2}
  3. {4,2}
  4. {4,-2}
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 Literal Equations
If 6ab+4=14ab, then ab=
  1. 14
  2. 2
  3. -2
  4. 12
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 Absolute Value
Select the solutions of |2x-3|-8=-5.
  1. x = 0, x = - 2
  2. x = 0, x = 2
  3. x = - 2, x = 2
  4. x = 0, x = 3
Grade 10 Absolute Value
Solve. |6w+3|=9
  1. {-2, 1}
  2. {-1, 2}
  3. 2
  4. 1
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 Absolute Value
Given: |x+53|-3>6
Find all solutions to x.
  1. x>22orx<-32
  2. x>32orx<-22
  3. x>16orx<-26
  4. x>26orx<-16
Grade 10 Absolute Value CCSS: HSF-BF.A.1
Which absolute value function has a graph that contains (-2, -1), (0,0), and (2, -1)?
  1. y = 2 times the absolute value of x.
  2. y = 1/2 times the absolute value of x.
  3. y = -1/2 times the absolute value of x.
  4. y = -2 times the absolute value of x.
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