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Function and Algebra Concepts Questions - All Grades

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Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate [math]f(x) = -x + 5[/math] for [math]x = -2[/math].
  1. [math]f(-2) = 7[/math]
  2. [math]f(-2) = 10[/math]
  3. [math]f(-2) = -7[/math]
  4. [math]f(-2) = 3[/math]
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8c
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 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 9 Functions and Relations CCSS: HSF-IF.A.1
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 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 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 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
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
Grade 9 Linear Equations
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
Grade 10 Polynomials and Rational Expressions
Match each factored expression with its corresponding expanded form.
__ [math]2(x-5)^2[/math] A. [math]3x^3-27x^2[/math]
__ [math]3x^2(x-9)[/math] B. [math]2x^2 + 2x-24[/math]
__ [math]2(x+4)(x-3)[/math] C. [math]x^3-x^2-5x+5[/math]
__ [math](x^2-5)(x-1)[/math] D. [math]2x^2 -20x+50[/math]
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