Chapter 11

Find the value of each expression. $$-(10 x-2 y+5 z) \text { if } x=2, y=8, \text { and } z=-1$$

Translate each phrase or sentence to a mathematical expression or equation. A number divided by nine, minus five times the number, is equal to one more than the number.

For problems \(17-46\), find the value of each expression. $$ \frac{-6 a}{5}+3 a+10, \text { if } a=25 $$

Three numbers add to \(35 .\) The second number is five less than twice the smallest. The third number is exactly twice the smallest. Find the numbers.

Solve each equation. Be sure to check each result. $$ -3 m+2-8 m-4=-14 m+m-4 $$

Find the value of each expression. $$-(a-3 b+2 c-d), \text { if } a=-5, b=2, c=0, \text { and } d=-1$$

Translate each phrase or sentence to a mathematical expression or equation. When two is subtracted from some number, the result is ten.

For problems \(17-46\), find the value of each expression. $$ \frac{-7 h}{9}-7 h-7, \text { if } h=-18 $$

Three numbers add to 37 . The second number is one less than eight times the smallest. The third number is two less than eleven times the smallest. Find the numbers.

Solve each equation. Be sure to check each result. $$ 5 a+3=3 $$

Find the value of each expression. $$3[16-3(a+3 b)] \text { , if } a=3 \text { and } b=-2$$

Translate each phrase or sentence to a mathematical expression or equation. When four is subtracted from some number, the result is thirty-one.

For problems \(17-46\), find the value of each expression. $$ 5(3 a+4 b) \text { , if } a=-2 \text { and } b=2 $$

Find the decimal representation of \(0.34992 \div 4.32\).

Solve each equation. Be sure to check each result. $$ 7 x+3 x=0 $$

Find the value of each expression. $$-2[5 a+2 b(b-6)], \text { if } a=-2 \text { and } b=3$$

Translate each phrase or sentence to a mathematical expression or equation. Three less than some number is equal to twice the number minus six.

For problems \(17-46\), find the value of each expression. $$ 7(2 y-x), \text { if } x=-1 \text { and } y=2 $$

A 5 -foot woman casts a 9 -foot shadow at a particular time of the day. How tall is a person that casts a 10.8 -foot shadow at the same time of the day?

Solve each equation. Be sure to check each result. $$ 7 g+4-11 g=-4 g+1+g $$

Find the value of each expression. $$-\\{6 x+3 y[-2(x+4 y)]\\}, \text { if } x=0 \text { and } y=1$$

Translate each phrase or sentence to a mathematical expression or equation. Thirteen less than some number is equal to three times the number added to eight.

For problems \(17-46\), find the value of each expression. $$ -(a-b), \text { if } a=0 \text { and } b=-6 $$

Use the method of rounding to estimate the sum: \(4 \frac{5}{12}+15 \frac{1}{25}\).

Solve each equation. Be sure to check each result. $$ \frac{5 a}{7}=10 $$

Find the value of each expression. $$-2\\{19-6[4-2(a-b-7)]\\}, \text { if } a=10 \text { and } b=3$$

Translate each phrase or sentence to a mathematical expression or equation. When twelve is subtracted from five times some number, the result is two less than the original number.

For problems \(17-46\), find the value of each expression. $$ -(x-x-y), \text { if } x=4 \text { and } y=-4 $$

Convert \(463 \mathrm{mg}\) to \(\mathrm{cg}\).

Solve each equation. Be sure to check each result. $$ \frac{2 m}{9}=4 $$

Calculator Exercises. $$y-2.161=5.063$$

Find the value of each expression. $$x^{2}+3 x-1, \text { if } x=5$$

Translate each phrase or sentence to a mathematical expression or equation. When one is subtracted from three times a number, the result is eight less than six times the original number.

For problems \(17-46\), find the value of each expression. $$ (y+2)^{2}-6(y+2)-6, \text { if } y=2 $$

Twice a number is added to 5 . The result is 2 less than three times the number. What is the number?

Solve each equation. Be sure to check each result. $$ \frac{3 x}{4}=\frac{9}{2} $$

Calculator Exercises. $$a-44.0014=-21.1625$$

Find the value of each expression. $$m^{2}-2 m+6, \text { if } m=3$$

Translate each phrase or sentence to a mathematical expression or equation. When a number is subtracted from six, the result is four more than the original number.

For problems \(17-46\), find the value of each expression. $$ (a-7)^{2}-2(a-7)-2, \text { if } a=7 $$

Solve each equation. Be sure to check each result. $$ \frac{8 k}{3}=32 $$

Calculator Exercises. $$-0.362-0.416=5.63 m-4.63 m$$

Find the value of each expression. $$6 a^{2}+2 a-15, \text { if } a=-2$$

Translate each phrase or sentence to a mathematical expression or equation. When a number is subtracted from twenty-four, the result is six less than twice the number.

For problems \(47-56\), simplify each expression by combining like terms. $$ 4 a+5-2 a+1 $$

Solve each equation. Be sure to check each result. $$ \frac{3 a}{8}-\frac{3}{2}=0 $$

Calculator Exercises. $$8.078-9.112=2.106 y-1.106 y$$

Translate each phrase or sentence to a mathematical expression or equation. A number is subtracted from nine. This result is then increased by one. The result is eight more than three times the number.

For problems \(47-56\), simplify each expression by combining like terms. $$ 7 x+3 x-14 x $$

Solve each equation. Be sure to check each result. $$ \frac{5 m}{6}-\frac{25}{3}=0 $$