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You can create printable tests and worksheets from these Grade 10 Algebraic Expressions questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Factor by finding the GCF (Greatest Common Factor).

$3x+9y$
1. $3$
2. $3(x+3y)$
3. $12y$
4. $12xy$
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $(3x+y)^2$ ?
1. $9x^2+6xy+y^2$
2. $9x^2+3xy+y^2$
3. $9x^2+y^2$
4. $9x^2-y^2$
Which of the following correctly interprets the expression $(5x-1)/(4y)$?
1. One less than five times a number divided by four times a number
2. Five times a number minus one divided by four times another number
3. Five times a number divided by four times another number less one
4. One less than five times a number, divided by four times another number
Factor the following completely. $6m^2+2mn-n^2-3mn$
1. $(3m-n)(n+2m)$
2. $(3n+m)(2m-n)$
3. $(3n+m)(2n-m)$
4. $(3m+n)(2m-n)$
Which of the following correctly interprets the expression $(5x)/(3y-2)$?
1. Five times a number divided by two less than three times another number
2. Five times a number divided by 3 times another number minus two
3. Five times a number divided by 3 times a number less two
4. Five times a number divided by two less than three times a number
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $5(x+1)(3x-8)$ ?
1. $(x+1)(3x-8)$
2. $(5x+1)(15x-8)$
3. $3x^2-5x-8$
4. $15x^2-25x-40$
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $9x^2+12x+4$ ?
1. $(3x+2)^2$
2. $(3x+6)(3x+2)$
3. $(3x-2)^2$
4. $4(2x^2+6x+1)$
Simplify.
$(3x^2y^-3)(-2x^3y^5)$
1. $(3x^2y^5)/ (-2x^3y^3)$
2. $-6x^5+3x^2y^5-2x^3y^-3+y^2$
3. $-6x^5y^2$
Simplify.

$(2a^3b^-2)(-4a^2b^4)$
1. $-8a^2b^5$
2. $8a^5b^2$
3. $4a^6b^-8$
4. $-8a^5b^2$
$c/b+b/c$
1. $(c^2+b^2)/(cb)$
2. $(c^2-b^2)/(b+c$
3. $b^2+c^2$
Simplify.
$(a^(cb)+3)-(2a^(cb)+7)$
1. $3a^(cb)+10$
2. $-a^(cb)-4$
3. $3a^(cb)-4$
4. $2a^(cb)+4$
Simplify. $(6x^3)(5x^5)(-4x)$
1. $-120x^9$
2. $-120x^15$
3. $120x^(-9)$
4. $120x^(-15)$
Which expression is equivalent to $-3x+9$?
1. $-3(x+9)$
2. $-3(x-3)$
3. $-3(x+12)$
4. $3(-x-3)$
What is the common factor of $x^2-4x-12 and x^2+4x+4$ ?
1. $(x-2)$
2. $(x+6)$
3. $(x+2)$