Equivalent expressions pwo expressions are arid to be equivalent if they howe the same value. irrepective of the value of the variable(s) in them. The algebraic expressions shown below can be described as equivalent algebraic expressions. 1. \( 8 m-16=8(m-2) \) 2. \( 6 a+12=6(a+2) \) 3. \( 9 a b+18 a=9 a(b+2) \) 1.3 Write the expression \( 3 \mathrm{a}^{2} \mathrm{~b}+4 \mathrm{ab}^{2} \) as an equivalent algebraic expression. \( \_\_\_\_ \) \( \mathrm{B}(2 \mathrm{ab})+\mathrm{Lu}(2 \mathrm{nb}) \) \( \_\_\_\_ \) (2) Lucy is given the expression below: \[ 7 x+35 \] Explain to Lucy how to find the equivalent expression. \[ 2 x+3 r=7(x+5) \] \( \_\_\_\_ \) \( \_\_\_\_ \) \( \_\_\_\_ \) (2) [Tota] ACTIVITY 2 dlowing algebraic expression is given: \[ x y+5 y+2 x+10 \] 2.1 What do you notice about all 4 terms? (1)
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In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not equivalent, show how to change one expression to make them equivalent. $\mathrm{A}$ A. $3 x-2 x+0.5 x$ B. $3(x+4)-2(x+4)$ C. $6(x+4)-2(x+5)$ D. $3(x+4)-2(x+4)+0.5(x+4)$ B a. $1.5 x$ b. $x+3$ c. $2(2 x+7)$ d. $1.5$
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