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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.
$-x+y=3$
$x+y=7$
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
Simplify using a single exponent. $[(-2)^3]^4$
1. $(-2)^7$
2. $-2^12$
3. $2^12$
Which property is $x * 4 = 4x$?
2. Commutative Property of Multiplication
3. Inverse Property of Multiplication
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 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)
Solve for x.
$x^2 + x=12$
1. 6, -2
2. -3, -4
3. -4, 3
4. -2, 6
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 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. $y <= 3$
Factor. $6x^2 - 19x + 10$
1. $(3x-10)(2x+1)$
2. $(6x - 5)(x-2)$
3. $(3x - 5)(2x-2)$
4. $(3x-2)(2x-5)$
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 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 10 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
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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