Algebra 1: Topic Test rvw

Adi used algebra tiles to represent the product (negative 2 x minus 1)(2 x minus 1).Which is true regarding Adi's use of algebra tiles?

She used the algebra tiles correctly

Factor -8x3 - 2x2 - 12x - 3 by grouping. What is the resulting expression?

(4x+1)(2x²+3) or (-2x²-3)(4x+1) or (4x+1)(-2x²-3) mw cannot be factored

What are the factors of m2 - 6m + 6m - 36?

(m-6)(m+6) or mathway (m+6)(m-6)

Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?

(x²-3) and (x+11) mw (x+4)(x²+5)

Factor -7x3 + 21x2 + 3x - 9 by grouping. What is the resulting expression?

c (3-7x²)(x-3) or (-7x³+21x²+3x-9) or mathway (-x+3)(7x²-3)

What is the square root of r64?

r⁸ r³²

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping. 10x3 + 35x2 − 4x − 14

(2x+7)(5x²-2)

Factor x3 - 7x2 - 5x + 35 by grouping. What is the resulting expression?

(x²-5)(x-7) or (x-7)(x-√5)(x+√5)

Which shows one way to determine the factors of 4x3 + x2 - 8x - 2 by grouping?

mw (x²-2)(4x+1) or switch around or x²(4x+1)-2x(4x+1)

What is the product? (2 x - 1)(x + 4)

mw 2x²-9x+4 *2x²+7x-4

What is the square root of m6?

m³

Which shows one way to determine the factors of x3 + 11x2 - 3x - 33 by grouping?

x²(x+11)-3(x+11) (x²-3)(x+11) x³-11-3x mw(x+11)(x²-3)

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out.What is the common binomial factor between the two groups after their GCFs have been factored out?

x²+2 or 2x-5

The table represents the multiplication of two binomials. What is the value of A? -3x

b -3x²

The table represents the multiplication of two binomials. Which letters from the table represent like terms?

b (b and c)

Which term completes the product so that it is the difference of squares? (−5x−3)(−5x+________) Which will result in a difference of squares?7

c (-5x+3)

What is the product? (- 3 s + 2 t)(4 s - t)

-12s²+11sr-2t²

What is the product? (6 r - 1)(-8 r - 3)

-48r²-10r+3

5x2(____) − 2(____) What is the common factor that is missing from both sets of parentheses?

2x+7 or ql 2x²+7

What is the product? 2 x (x -4)

2x²-8x

Which binomial is a factor of 9x2 - 64?

3x - 8 mathway (3x+8)(3x-8)

What is the square root of 64y16?

8y⁸

Which monomials are perfect squares? Select three options.6x2

9x⁸, 25x¹², 36x¹⁶

Which products result in a difference of squares? Select three options. (x-y)9y-x)

?

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

The side length was multiplied by 5.