question_answer 26)

State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable. (a) \[17=x+7\]                   (b) \[(t-7)>5\]                    (c) \[\frac{4}{2}=2\]                        (d) \[(7\times 3)-19=8\] (e) \[5\times 4-8=2x\]   (f) \[x-2=0\]                       (g) \[2m<30\]                    (h) \[2n+1=11\] (i) \[7=(11\times 5)-(12\times 4)\]           (j) \[7=(11\times 2)+p\]                (k) \[20=5y\]                      (l) \[\frac{3q}{2}<5\] (m) \[z+12>24\]                                (n)\[20-(10-5)=3\times 5\]           (o) \[7-x=5\]                

Answer:

                (a) \[17=x+7,\] It is an equation with variable \[x,\] since it has an equal sign. (b) \[(t-7)>5,\] It is not an equation because it has greater than sign (>). (c) \[\frac{4}{2}=2,\] It is an equation with numbers, since it has an equal sign and has no variable. (d) \[(7\times 3)-19=8,\]It is an equation with numbers, since it has an equal sign and has no variable. (e) \[5\times 4-8=2x,\]It is an equation with variable x, since it has an equal sign. (f) \[x-2=0,\] It is an equation with variable \[x,\] since it has an equal sign. (g) \[2m<30,\] It is not an equation because it has less than sign (<). (h) \[2n+1=11,\] It is an equation with variable n, since it has an equal sign. (i) \[7=(11\times 5)-(12\times 4),\]It is an equation with numbers, since it has an equal sign. (j) \[7=(11\times 5)-(12\times 4),\] It is an equation with variable p, since it has an equal sign. (k) \[20=5y,\] It is an equation with variable y, since it has an equal sign. (l) \[\frac{3q}{2}<5,\] It is not an equation because it has less than sign (<). (m) \[z+12>24,\] It is not an equation because it has greater than sign (>). (n) \[20-(10-5)=3\times 5,\] It is an equation with numbers, since it has an equal sign. (o) \[7-x=5,\] It is an equation with variable \[x,\] since it has an equal sign.