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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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Grade 10 Linear Equations
Which of the following is true for the equation $y=4x-2$?
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 $y$.
$(20y-12)/(4y)=4$
1. $3$
2. $5$
3. $2$
4. $-1$
Grade 10 Nonlinear Equations and Functions
Solve for $t$.
$sqrt(5t+11)=6$
1. $11$
2. $46/55$
3. $10$
4. $5$
Determine the solution of the inequality. $x - 1 < - 4 or x + 2 >= 4$
1. $x < - 3 or x >= 2$
2. $x < - 5 or x >= 6$
3. $x = 1 or x = 2$
4. $x = 3 or x = - 2$
Grade 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given $3x^2y(3x^2y^2+7xy^3-4y^4)$ ?
1. $9x^4y^6+21x^2y^3-12x^2y^4$
2. $6x^2y^2+10x^2y^3-7x^2y^4$
3. $9x^4y^3+21x^3y^4-12x^2y^5$
4. $6x^4y^3+10x^3y^4-7x^2y^5$
Select the solution of the following: $-5 <= -2x + 3 <= 7$
1. $x >= 4 or x <= -2$
2. $-2 <= x <= 4$
3. $-4 <= x <= -2$
4. $-4 <= x <= 2$
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the next 2 numbers in the sequence $1, 5, 9...$?
1. $45,225$
2. $14,18$
3. $13,17$
4. $32,128$
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for $r$.

$a=v^2/r$
1. $r=a/v^2$
2. $r=v^2a$
3. $r=v^2/a$
4. $r=sqrt(v)/a$
Grade 10 Algebraic Expressions
Grade 10 Polynomials and Rational Expressions
Factor the expression.
$x^4 - y^4$
1. $(x - y)^4$
2. $(x^2 + y^2)(x + y)(x - y)$
3. $(x^2 + y^2)(x^2 - y^2)$
4. Can't be factored
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Which equation has the same solutions as $x^2 + 6x - 7 = 0$?
1. $(x + 3)^2 = 2$
2. $(x - 3)^2 = 2$
3. $(x - 3)^2 = 16$
4. $(x + 3)^2 = 16$
Grade 10 Linear Equations
Solve for y in the equation $4y+15=-5y+9 .$
1. $-6$
2. $-2/3$
3. $2/3$
4. $6$
Which equation represents the parabola shown below?
1. $y=1/2 x^2$
2. $y=-1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
What is the vertex of the following equation? Also, is this a minimum or maximum?
$y = 3x^2 + 24x + 57$
1. $(-4,9)$, minimum
2. $(4,9)$, maximum
3. $(0,57)$, minimum
4. $(-12,87)$, minimum
Find the solution of the following: $x^2 + 5 = 32$.
1. $x = +-9sqrt6$
2. $x = +-3sqrt3$
3. $x = +-sqrt32$
4. $x = +-3sqrt6$