Match each expression with the value of the expression when the variable is substituted into the expression. k - 8; k = 13.2 (4/5)g; g = 10 w + 5.6; w = 9.1 (2v)/3; v = 13 21... Match each expression with the value of the expression when the variable is substituted into the expression. k - 8; k = 13.2 (4/5)g; g = 10 w + 5.6; w = 9.1 (2v)/3; v = 13 21 - d; d = 7 (9p)/2; p = 16 (8/7) + q; q = 36/7 s - 4.2; s = 12

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Understand the Problem

The question asks us to evaluate algebraic expressions by substituting given values for the variables. Each expression needs to be calculated after the substitution, and the result should be matched with the provided answer choices.

Answer

$k-8; k=13.2 = 5.2$ $\frac{4}{5}g; g = 10 = 8$ $w + 5.6; w = 9.1 = 14.7$ $\frac{2v}{3}; v = 13 = 8\frac{2}{3}$ $21-d; d = 7 = 14$ $\frac{9p}{2}; p = 16 = 72$ $\frac{8}{7} + q; q = \frac{36}{7} = \frac{44}{7}$ $s - 4.2; s = 12 = 7\frac{4}{5}$
Answer for screen readers

$k-8; k=13.2 = 5.2$

$\frac{4}{5}g; g = 10 = 8$

$w + 5.6; w = 9.1 = 14.7$

$\frac{2v}{3}; v = 13 = 8\frac{2}{3}$

$21-d; d = 7 = 14$

$\frac{9p}{2}; p = 16 = 72$

$\frac{8}{7} + q; q = \frac{36}{7} = \frac{44}{7}$

$s - 4.2; s = 12 = 7\frac{4}{5}$

Steps to Solve

  1. Evaluate $k-8$ when $k=13.2$ Substitute $k=13.2$ into the expression $k-8$: $13.2 - 8 = 5.2$

  2. Evaluate $\frac{4}{5}g$ when $g=10$ Substitute $g=10$ into the expression $\frac{4}{5}g$: $\frac{4}{5} \times 10 = \frac{40}{5} = 8$

  3. Evaluate $w + 5.6$ when $w = 9.1$ Substitute $w = 9.1$ into the expression $w + 5.6$: $9.1 + 5.6 = 14.7$

  4. Evaluate $\frac{2v}{3}$ when $v=13$ Substitute $v=13$ into the expression $\frac{2v}{3}$: $\frac{2 \times 13}{3} = \frac{26}{3} = 8\frac{2}{3}$

  5. Evaluate $21-d$ when $d=7$ Substitute $d=7$ into the expression $21-d$: $21 - 7 = 14$

  6. Evaluate $\frac{9p}{2}$ when $p=16$ Substitute $p=16$ into the expression $\frac{9p}{2}$: $\frac{9 \times 16}{2} = \frac{144}{2} = 72$

  7. Evaluate $\frac{8}{7} + q$ when $q=\frac{36}{7}$ Substitute $q=\frac{36}{7}$ into the expression $\frac{8}{7} + q$: $\frac{8}{7} + \frac{36}{7} = \frac{8+36}{7} = \frac{44}{7}$

  8. Evaluate $s - 4.2$ when $s=12$ Substitute $s=12$ into the expression $s - 4.2$: $12 - 4.2 = 7.8 = 7\frac{4}{5}$

$k-8; k=13.2 = 5.2$

$\frac{4}{5}g; g = 10 = 8$

$w + 5.6; w = 9.1 = 14.7$

$\frac{2v}{3}; v = 13 = 8\frac{2}{3}$

$21-d; d = 7 = 14$

$\frac{9p}{2}; p = 16 = 72$

$\frac{8}{7} + q; q = \frac{36}{7} = \frac{44}{7}$

$s - 4.2; s = 12 = 7\frac{4}{5}$

More Information

Each of the expressions were evaluated by substituting the numbers for the corresponding variables and performing the math operation

Tips

  • Forgetting to follow the order of operations when solving.
  • Making simple arithmetic errors.
  • Incorrectly substituting the values into the expressions.

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