Chapter 11

For problems \(17-46\), find the value of each expression. $$ a^{2}-6 a+4, \text { if } a=-2 $$

If five is subtracted from four times some number the result is negative twenty-nine. What is the number?

Solve each equation. Be sure to check each result. $$ 2+9 x=-7 $$

Convert \(\frac{5}{16}\) to a percent.

Find the value of each expression. $$5 a+6 b, \text { if } a=-6 \text { and } b=5$$

Translate each phrase or sentence to a mathematical expression or equation. Three fifths of a number plus eight is fifty.

For problems \(17-46\), find the value of each expression. $$ m^{2}-8 m-6, \text { if } m=-5 $$

If two is subtracted from ten times some number, the result is negative two. What is the number?

Solve each equation. Be sure to check each result. $$ 5-11 x=27 $$

In the expression \(6 k,\) how many \(k\) 's are there?

Find the value of each expression. $$2 x-3 y+4 z, \text { if } x=1, y=-1, \text { and } z=-2$$

Translate each phrase or sentence to a mathematical expression or equation. Two ninths of a number plus one fifth is forty-one.

For problems \(17-46\), find the value of each expression. $$ 4 y^{2}+3 y+1, \text { if } y=-2 $$

If three less than six times a number is equal to five times the number minus three, what is the number?

Solve each equation. Be sure to check each result. $$ 32=4 y+6 $$

Find the value of each expression. $$9 a+6 b-8 x+4 y, \text { if } a=-2, b=-1, x=-2, \text { and } y=0$$

Translate each phrase or sentence to a mathematical expression or equation. When four thirds of a number is increased by twelve, the result is five.

For problems \(17-46\), find the value of each expression. $$ 5 a^{2}-6 a+11, \text { if } a=0 $$

If one is added to negative four times a number the result is equal to eight less than five times the number. What is the number?

Solve each equation. Be sure to check each result. $$x+7-9=6$$

Find the value of each expression. $$\frac{8 x}{3 y}+\frac{18 y}{2 x}, \text { if } x=9 \text { and } y=-2$$

Translate each phrase or sentence to a mathematical expression or equation. When seven times a number is decreased by two times the number, the result is negative one.

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

Find three consecutive integers that add to -57 .

Solve each equation. Be sure to check each result. $$ 3 k+6=5 k+10 $$

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

Translate each phrase or sentence to a mathematical expression or equation. When eight times a number is increased by five, the result is equal to the original number plus twenty-six.

For problems \(17-46\), find the value of each expression. $$ -h^{2}-2 h-3, \text { if } h=-4 $$

Find four consecutive integers that add to negative two.

Solve each equation. Be sure to check each result. $$ 4 a+16=6 a+8 a+6 $$

Find the value of each expression. $$4(3 r+2 s), \text { if } r=4 \text { and } s=1$$

Translate each phrase or sentence to a mathematical expression or equation. Five more than some number is three more than four times the number.

For problems \(17-46\), find the value of each expression. $$ \frac{m}{6}+5 m, \text { if } m=-18 $$

Find three consecutive even integers that add to -24 .

Solve each equation. Be sure to check each result. $$ 6 x+5+2 x-1=9 x-3 x+15 $$

Find the value of each expression. $$3(9 a-6 b), \text { if } a=-1 \text { and } b=-2$$

Translate each phrase or sentence to a mathematical expression or equation. When a number divided by six is increased by nine, the result is one.

For problems \(17-46\), find the value of each expression. $$ \frac{a}{8}-2 a+1, \text { if } a=24 $$

Find three consecutive odd integers that add to -99 .

Solve each equation. Be sure to check each result. $$ -9 y-8+3 y+7=-7 y+8 y-5 y+9 $$

Find the value of each expression. $$-8(5 m+8 n), \text { if } m=0 \text { and } n=-1$$

Translate each phrase or sentence to a mathematical expression or equation. A number is equal to itself minus three times itself.

For problems \(17-46\), find the value of each expression. $$ \frac{5 x}{7}+3 x-7, \text { if } x=14 $$

Suppose someone wants to find three consecutive odd integers that add to 120 . Why will that person not be able to do it?

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

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

Translate each phrase or sentence to a mathematical expression or equation. A number divided by seven, plus two, is seventeen.

For problems \(17-46\), find the value of each expression. $$ \frac{3 k}{4}-5 k+18, \text { if } k=16 $$

Suppose someone wants to find three consecutive odd integers that add to \(120 .\) Why will that person not be able to do it?

Solve each equation. Be sure to check each result. $$ 5 b=-2 b+8 b+1 $$