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Algebraic Functions - Multiply Bracketed Terms, Same Variable (Level 1)

This math topic challenges students to expand and simplify bracketed algebraic expressions. Specifically, the subject focuses on multiplying terms of same variable enclosed in brackets. This topic forms a crucial part of advanced polynomials and quadratics. To test understanding, students need to identify an expression equivalent to the one given among multiple options. For example, students might be asked to determine which expressions are equivalent to (r + 8)(r + 5), (p + 7)(p + 5), or (z + 3)(z + 3).

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Multiply Bracketed Terms, Same Variable

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Which answer is the same expression as this

(c+5)(c+9)(c + 5)(c + 9)

Algebraic Functions - Multiply Bracketed Terms, Same Variable Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Same Variable (Level 1)'. Part of a broader unit on 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Which answer is the same expression as this
A LaTex expression showing (b + 6)(b + 9)
a A LaTex expression showing b to the power of 2 + 54b + 15
b A LaTex expression showing b to the power of 2 - 54b + 15
c A LaTex expression showing b to the power of 2 + 15b + 54
d A LaTex expression showing b to the power of 2 + 15b - 54
e A LaTex expression showing b to the power of 2 + 54b - 15
f A LaTex expression showing b to the power of 2 - 15b + 54
2
Which answer is the same expression as this
A LaTex expression showing (r + 2)(r + 5)
a A LaTex expression showing r to the power of 2 - 10r + 7
b A LaTex expression showing r to the power of 2 - 7r + 10
c A LaTex expression showing r to the power of 2 + 10r - 7
d A LaTex expression showing r to the power of 2 + 7r - 10
e A LaTex expression showing r to the power of 2 + 10r + 7
f A LaTex expression showing r to the power of 2 + 7r + 10
3
Which answer is the same expression as this
A LaTex expression showing (x + 5)(x + 7)
a A LaTex expression showing x to the power of 2 + 12x - 35
b A LaTex expression showing x to the power of 2 + 35x - 12
c A LaTex expression showing x to the power of 2 + 35x + 12
d A LaTex expression showing x to the power of 2 + 12x + 35
e A LaTex expression showing x to the power of 2 - 35x + 12
f A LaTex expression showing x to the power of 2 - 12x + 35
4
Which answer is the same expression as this
A LaTex expression showing (z + 3)(z + 3)
a A LaTex expression showing z to the power of 2 + 6z + 9
b A LaTex expression showing z to the power of 2 + 6z - 9
c A LaTex expression showing z to the power of 2 - 6z + 9
d A LaTex expression showing z to the power of 2 + 9z - 6
e A LaTex expression showing z to the power of 2 - 9z + 6
f A LaTex expression showing z to the power of 2 + 9z + 6
5
Which answer is the same expression as this
A LaTex expression showing (r + 5)(r + 7)
a A LaTex expression showing r to the power of 2 - 12r + 35
b A LaTex expression showing r to the power of 2 + 12r + 35
c A LaTex expression showing r to the power of 2 + 35r + 12
d A LaTex expression showing r to the power of 2 + 12r - 35
e A LaTex expression showing r to the power of 2 - 35r + 12
f A LaTex expression showing r to the power of 2 + 35r - 12
6
Which answer is the same expression as this
A LaTex expression showing (n + 3)(n + 2)
a A LaTex expression showing n to the power of 2 - 6n + 5
b A LaTex expression showing n to the power of 2 + 5n - 6
c A LaTex expression showing n to the power of 2 + 6n - 5
d A LaTex expression showing n to the power of 2 + 6n + 5
e A LaTex expression showing n to the power of 2 + 5n + 6
f A LaTex expression showing n to the power of 2 - 5n + 6
7
Which answer is the same expression as this
A LaTex expression showing (n + 2)(n + 2)
a A LaTex expression showing n to the power of 2 + 4n - 4
b A LaTex expression showing n to the power of 2 + 4n - 4
c A LaTex expression showing n to the power of 2 - 4n + 4
d A LaTex expression showing n to the power of 2 - 4n + 4
e A LaTex expression showing n to the power of 2 + 4n + 4
f A LaTex expression showing 4n to the power of 2 + n + 4