Same Variable Times Bracketed Terms (Level 1)

This math topic focuses on simplifying algebraic functions, specifically involving a single variable multiplied by bracketed terms. It is part of a broader introduction to polynomials and quadratics. Each problem presents an expression for students to expand and equate it with one of the multiple-choice answers, testing their ability to manipulate algebraic expressions accurately. Example exercises include expanding expressions like y(y + 3) or d(d - 6) and identifying equivalent forms from a list of options. This helps students recognize the correct expanded form of polynomial expressions and sharpens their algebraic manipulation skills.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Same Variable Times Bracketed Terms Worksheet

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