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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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Grade 10 Linear Equations CCSS: HSA-REI.B.3
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]x[/math].
[math]4x+5=5x-5[/math]
  1. [math]1[/math]
  2. [math]4/5[/math]
  3. [math]10[/math]
  4. [math]-5[/math]
Grade 10 Linear Equations
Which of the following is true for the equation [math]y=4x-2[/math]?
  1. slope=2, y intercept=4
  2. slope=-2, y intercept=4
  3. slope=4, y intercept=-2
  4. slope=4, y intercept=2
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for [math]y[/math].
[math](20y-12)/(4y)=4[/math]
  1. [math]3[/math]
  2. [math]5[/math]
  3. [math]2[/math]
  4. [math]-1[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression.
[math]9x^2 + 24x +16[/math]
  1. [math](x + 4)(9x - 1)[/math]
  2. [math](3x + 16)(3x + 1)[/math]
  3. [math](3x + 4)^2[/math]
  4. [math](3x + 8)^2[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]y[/math].
[math](50-y)/9=y[/math]
  1. [math]50/9[/math]
  2. [math]3[/math]
  3. [math]9[/math]
  4. [math]5[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]t[/math].
[math]14t=(50-2t)/7[/math]
  1. [math]49[/math]
  2. [math]7[/math]
  3. [math]5[/math]
  4. [math]1/2[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]x[/math].
[math]3x+4=10[/math]
  1. [math]10[/math]
  2. [math]2[/math]
  3. [math]3/4[/math]
  4. [math]4/30[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]x[/math].
[math](3x)/4+(5x)/6=x+7/8[/math]
  1. [math]3/2[/math]
  2. [math]2/3[/math]
  3. [math]0[/math]
  4. No Solution
Grade 10 Polynomials and Rational Expressions
Given: [math] (5x + 6)(8x - 4) [/math]

The product of the given is:
  1. [math] 13x + 2 [/math]
  2. [math] 40x - 24 [/math]
  3. [math] 40x^2 + 24 [/math]
  4. [math] 40x^2 - 20x + 48x - 24 [/math]
Grade 10 Linear Equations CCSS: 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
Which is the correct factorization of [math]x^2 - 6x -27?[/math]
  1. (x + 3)(x - 9)
  2. (x - 3)(x +9)
  3. (x - 3)(x - 9)
  4. (x + 3)(x + 9)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Declare which of the following is the solution to [math]10x^2 + x -2 = 0.[/math]
  1. [math]x = - 5, x = -2[/math]
  2. [math]x = - 1/2, x = 2/5[/math]
  3. [math]x = - 2/5, x = 1/2[/math]
  4. [math]x = 2, x = 5[/math]
Grade 10 Function and Algebra Concepts 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 10 Linear Equations
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Determine the solutions of [math]x^2 - 14x +49 = 48.[/math]
  1. [math]- 7 +- 4sqrt3[/math]
  2. [math]- 7 +- 16sqrt3[/math]
  3. [math]7 +- 4sqrt3[/math]
  4. [math]7 +- 16sqrt3[/math]
Grade 10 Function and Algebra Concepts 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 10 Inequalities CCSS: HSA-REI.B.3
Determine the solution of the inequality. [math]x - 1 < - 4 or x + 2 >= 4[/math]
  1. [math]x < - 3 or x >= 2[/math]
  2. [math]x < - 5 or x >= 6[/math]
  3. [math]x = 1 or x = 2[/math]
  4. [math]x = 3 or x = - 2[/math]
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