Let’s solve each equation one by one. We’ll isolate the variable (the letter) on one side of the equation.
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1.
$\frac{16}{u} + 8 = 10$
Subtract 8 from both sides:
$\frac{16}{u} = 2$
Multiply both sides by $u$:
$16 = 2u$
Divide both sides by 2:
$u = 8$
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2.
$\frac{48}{y} + 5 = 13$
Subtract 5:
$\frac{48}{y} = 8$
Multiply by $y$:
$48 = 8y$
Divide by 8:
$y = 6$
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3.
$10 + \frac{20}{a} = 14$
Subtract 10:
$\frac{20}{a} = 4$
Multiply by $a$:
$20 = 4a$
Divide by 4:
$a = 5$
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4.
$\frac{72}{a} - 8 = 0$
Add 8:
$\frac{72}{a} = 8$
Multiply by $a$:
$72 = 8a$
Divide by 8:
$a = 9$
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5.
$4 + \frac{10}{a} = 9$
Subtract 4:
$\frac{10}{a} = 5$
Multiply by $a$:
$10 = 5a$
Divide by 5:
$a = 2$
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6.
$9 + \frac{63}{c} = 16$
Subtract 9:
$\frac{63}{c} = 7$
Multiply by $c$:
$63 = 7c$
Divide by 7:
$c = 9$
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7.
$7 + \frac{56}{v} = 15$
Subtract 7:
$\frac{56}{v} = 8$
Multiply by $v$:
$56 = 8v$
Divide by 8:
$v = 7$
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8.
$10 + \frac{24}{x} = 13$
Subtract 10:
$\frac{24}{x} = 3$
Multiply by $x$:
$24 = 3x$
Divide by 3:
$x = 8$
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9.
$\frac{16}{a} + 4 = 8$
Subtract 4:
$\frac{16}{a} = 4$
Multiply by $a$:
$16 = 4a$
Divide by 4:
$a = 4$
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10.
$2 + \frac{6}{u} = 8$
Subtract 2:
$\frac{6}{u} = 6$
Multiply by $u$:
$6 = 6u$
Divide by 6:
$u = 1$
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11.
$7 + \frac{6}{y} = 13$
Subtract 7:
$\frac{6}{y} = 6$
Multiply by $y$:
$6 = 6y$
Divide by 6:
$y = 1$
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12.
$\frac{12}{x} - 2 = 1$
Add 2:
$\frac{12}{x} = 3$
Multiply by $x$:
$12 = 3x$
Divide by 3:
$x = 4$
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13.
$2 + \frac{36}{y} = 8$
Subtract 2:
$\frac{36}{y} = 6$
Multiply by $y$:
$36 = 6y$
Divide by 6:
$y = 6$
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14.
$5 + \frac{20}{u} = 7$
Subtract 5:
$\frac{20}{u} = 2$
Multiply by $u$:
$20 = 2u$
Divide by 2:
$u = 10$
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15.
$\frac{24}{z} - 2 = 1$
Add 2:
$\frac{24}{z} = 3$
Multiply by $z$:
$24 = 3z$
Divide by 3:
$z = 8$
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Final Answer:
u = 8, y = 6, a = 5, a = 9, a = 2, c = 9, v = 7, x = 8, a = 4, u = 1, y = 1, x = 4, y = 6, u = 10, z = 8
Parent Tip: Review the logic above to help your child master the concept of basic algebra practice worksheet.
