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Function and Algebra Concepts Questions - All Grades

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Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8c
Kim is 3 times as old as her cousin. The total of their ages is 36 years. How old is Kim's cousin?
  1. 9 years old
  2. 12 years old
  3. 27 years old
  4. 33 years old
Grade 8 Inequalities
In math class there are 16 boys and 12 girls. What is the ratio of girls to total students?
  1. [math]3/4[/math]
  2. [math]3/7[/math]
  3. [math]7/3[/math]
  4. [math]4/3[/math]
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
[math]-x+y=3[/math]
[math]x+y=7[/math]
  1. x=3, y=1
  2. x=2, y=5
  3. x=1, y=1
  4. x=4, y=2
  5. x=5, y=2
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
What is the domain of the set of ordered pairs?
(8, -13); ( 0, -5) ; (4, -9); (-3,2)
  1. (-3, 0, 4, 8)
  2. (-3, -2)
  3. (-2, -5, -9, -13)
  4. (-3, 8)
Grade 7 Number Properties
Which property is [math]x * 4 = 4x[/math]?
  1. Commutative Property of Addition
  2. Commutative Property of Multiplication
  3. Inverse Property of Multiplication
  4. Inverse Property of Addition
Grade 8 Exponents CCSS: 8.EE.A.1
Simplify using a single exponent. [math][(-2)^3]^4[/math]
  1. [math](-2)^7[/math]
  2. [math]-2^12[/math]
  3. [math]2^12[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x.
[math]x^2 + x=12[/math]
  1. 6, -2
  2. -3, -4
  3. -4, 3
  4. -2, 6
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
Solve the system.
y = 5x − 2
y = −3x + 6
  1. (2, 4)
  2. (1, 3)
  3. (2, 8)
  4. (4, 2)
Grade 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
If you pay $11 for 1 apple and 9 bananas and pay $7 for 3 apples and 1 banana, how much does an apple and a banana cost?
  1. Apple = $ -1 Banana = $2/3
  2. Apple = $2 Banana = $1
  3. Apple = $1 Banana = $4/9
  4. Apple = $1/2 Banana = $1/2
Grade 7 Inequalities CCSS: 7.EE.B.4, 7.EE.B.4b
Solve the inequality for y.

[math]5y + 6 >= -9[/math]
  1. [math]y >= 3[/math]
  2. [math]y >= -3[/math]
  3. [math]y <= -3[/math]
  4. [math]y <= 3[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. [math]6x^2 - 19x + 10 [/math]
  1. [math](3x-10)(2x+1)[/math]
  2. [math](6x - 5)(x-2)[/math]
  3. [math](3x - 5)(2x-2)[/math]
  4. [math](3x-2)(2x-5)[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. [math]f(x) = 4x^3 + 2[/math]
  1. [math]f^{-1}(x) = (x^3-2)/4[/math]
  2. [math]f^{-1}(x) = (root[3](x) - 2)/4[/math]
  3. [math]f^{-1}(x) = root[3]((x-2)/4) [/math]
  4. [math]f^{-1}(x) = root[3](x-2)/4[/math]
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to the system of equations?
[math]y=x+6[/math]
[math]3x+2y=2[/math]
  1. (-4, 7)
  2. (-2, 4)
  3. (2, 8)
  4. (4, 10)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Two or more linear equations in the same variable form
  1. a point of intersection.
  2. a solution of a linear system.
  3. perpendicular lines.
  4. a system of linear equations.
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
[math]y=x+8[/math]
[math]y+4x=8[/math]
  1. (0, 8)
  2. No Solutions
  3. (0, 0)
  4. (8, 1)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
There are three ways to solve systems of linear equations. One is graphing. What are the other two?
  1. elimination, substitution
  2. linear combinations, eliminations
  3. eliminations, graphing
  4. substitution, graphing
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