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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
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
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 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]S=1/2at^2[/math]
  1. [math]a=(2S)/t^2[/math]
  2. [math]at^2=2S[/math]
  3. [math]a=t^2/(tS)[/math]
  4. [math]a=(S)/(2t^2)[/math]
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 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 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]R[/math].

[math]2T=(5R)/S[/math]
  1. [math]R=(5ST)/2[/math]
  2. [math]R=(2S)/(5T)[/math]
  3. [math]R=(2)/(5ST)[/math]
  4. [math]R=(2ST)/5[/math]
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
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 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
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 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 10 Systems of Equations CCSS: HSA-REI.C.6
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 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
Coordinate Plane - 5x5 - With Dots
  1. Yes, this does represent a function, because all the points are distinct (none of them are coincident).
  2. No, this does not represent a function, since a function can not be made up of only points.
  3. No, this does not represent a function, since it fails the vertical line test.
  4. No, this does not represent a function, since a function is made up of many more points.
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