Creating Equivalent Algebraic Expressions 4 a d6 p

Creating Equivalent Algebraic Expressions

4 a d-6 p Some combination of variables, numbers, operations, and/or grouping symbols Algebraic Expressions 5(3 a + 4) x+1

What is a Variable? + 5=9 - 7 = 16 • a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z • a letter or symbol that represents a number or quantities that vary

Algebra Tiles

Modeling with Algebra Tiles 1. What would 3 x look like? 2. What would 3 x 2 look like? 3. What would 3 x 2 + 4 look like?

Combining Like Bills

Combining Like Terms 1. 4 + 1 x + 3 + 2 x 2 + 3 + 4 x + 1 x 2 3. x + x + x

What does it mean to multiply two numbers together? The number of EQUAL groups Multiplier x The size of each group Multiplicand ________ groups of ________

What Does this Algebraic Expression Mean? Look Like? 4(x + 3) • This expression means -- four groups of x + 3 • The visual representation for this expression is

Symbolic Representation of an algebraic expression 3 x + 9 4 x 2 + 1 + 2 x 2 + 2 6 x + 2 3 x 2 + 7 6 x 2 + 3 + 2 x + 1 5 x + 11 12 x 2 + 8 x Represent pictorially the number of equal groups using algebra tiles Write the verbal expression for each pictorial expression in the previous column Equivalent Symbolic Representation (Factored) GCF

Are These Algebraic Expressions Equivalent? 1. 4 x + 18 and 2(2 x + 9) 2. 7 x + 9 and 7(x + 9) 3. 4 x 2 + 8 and 4(x 2 + 2) 4. 6 x 2 + 15 and 3(22 + 5) 5. 11 x 2 + 16 and 1(11 x 2 + 16) 6. 7 x + 13 and 13 + 7 x