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# Math Questions - All Grades

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. $f(x) = 4x^3 + 2$
1. $f^{-1}(x) = (x^3-2)/4$
2. $f^{-1}(x) = (root[3](x) - 2)/4$
3. $f^{-1}(x) = root[3]((x-2)/4)$
4. $f^{-1}(x) = root[3](x-2)/4$
Grade 9 Points, Lines, and Planes
Write the letter of the angle relationship next to each pair of angles based on the image below.
 __ 1 and 5 A. alternate interior __ 4 and 6 B. corresponding __ 8 and 2 C. linear pair __ 3 and 6 D. alternate exterior __ 8 and 7 E. same-side interior
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
College Integrals
Find the following indefinite integral.
$int(8x^8 -6) dx$
1. $8/9x^9+C$
2. $64x^7+C$
3. $8/9x^9-6x+C$
4. $8/9x^9-6+C$
Which numerical pattern follows the rule "subtract 2, then multiply by 3," when starting with 5?
1. 5, 7, 21, 69
2. 5, 2, 4, 1, 2
3. 5, 15, 13, 39, 37
4. 5, 3, 9, 7, 21, 19, 57
Grade 7 Inequalities CCSS: 7.EE.B.4, 7.EE.B.4b
Solve the inequality for y.

$5y + 6 >= -9$
1. $y >= 3$
2. $y >= -3$
3. $y <= -3$
4. $y <= 3$
The union of two distinct rays with a common endpoint is
1. a triangle.
2. a point.
3. an angle.
4. a tangent.
Simplify using a single exponent. $[(-2)^3]^4$
1. $(-2)^7$
2. $-2^12$
3. $2^12$
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for $z$.

$x=z/y$
1. $z=xy$
2. $z=x/y$
3. $z=y/x$
4. $x=zy$
Factor. $6x^2 - 19x + 10$
1. $(3x-10)(2x+1)$
2. $(6x - 5)(x-2)$
3. $(3x - 5)(2x-2)$
4. $(3x-2)(2x-5)$
In math class there are 16 boys and 12 girls. What is the ratio of girls to total students?
1. $3/4$
2. $3/7$
3. $7/3$
4. $4/3$
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for $B$.

$A=BC$
1. $B=AC$
2. $B=C/A$
3. $B=A/C$
4. $A=B/C$
Grade 7 Algebraic Expressions CCSS: 7.EE.A.1
Simplify the expression.
$6m + 10 - 10m$
1. $4m + 10$
2. $-4m + 10$
3. $16m + 10$
4. $6m$
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