Chapter 11

Calculator Exercises. $$4.23 k+3.18=3.23 k-5.83$$

Find the value of each expression. $$16 x^{2}+8 x-7, \text { if } x=0$$

Translate each phrase or sentence to a mathematical expression or equation. Five times a number is increased by two. This result is then decreased by three times the number. The result is three more than three times the number.

For problems \(47-56\), simplify each expression by combining like terms. $$ -7 b+4 m-3+3 n $$

Use the distributive property to compute \(40 \cdot 28\).

Calculator Exercises. $$6.1185 x-4.0031=5.1185 x-0.0058$$

Find the value of each expression. $$-8 y^{2}+6 y+11, \text { if } y=0$$

Translate each phrase or sentence to a mathematical expression or equation. Twice a number is decreased by seven. This result is decreased by four times the number. The result is negative the original number, minus six.

For problems \(47-56\), simplify each expression by combining like terms. $$ -9 k-8 h-k+6 h $$

Calculator Exercises. $$21.63 y+12.40-5.09 y=6.11 y-15.66+9.43 y$$

Find the value of each expression. $$(y-6)^{2}+3(y-5)+4, \text { if } y=5$$

Fifteen times a number is decreased by fifteen. This result is then increased by two times the number. The result is negative five times the original number minus the opposite of ten.

For problems \(47-56\), simplify each expression by combining like terms. $$ -x+5 y-8 x-6 x+7 y $$

Calculator Exercises. $$0.029 a-0.013-0.034-0.057=-0.038+0.56+1.01 a$$

Find the value of each expression. $$(x+8)^{2}+4(x+9)+1, \text { if } x=-6$$

\(\frac{8}{9}\) of what number is \(\frac{2}{3} ?\)

For problems \(47-56\), simplify each expression by combining like terms. $$ 6 n-2 n+6-2-n $$

Find the value of \(\frac{-3(4-15)-2}{-5}\).

Is \(\frac{7 \text { calculators }}{12 \text { students }}\) an example of a ratio or a rate?

Perform the addition: \(5 \frac{3}{8}+2 \frac{1}{6}\).

Find the value of \(\frac{21}{40}+\frac{17}{30}\).

For problems \(47-56\), simplify each expression by combining like terms. $$ 0 m+3 k-5 s+2 m-s $$

Solve the equation \(x-14+8=-2\).

Convert \(\frac{3}{8} \%\) to a decimal.

Arrange the numbers in order from smallest to largest: \(\frac{11}{32}, \frac{15}{48},\) and \(\frac{7}{16}\).

Find the value of \(3 \frac{1}{12}+4 \frac{1}{3}+1 \frac{1}{4}\).

For problems \(47-56\), simplify each expression by combining like terms. $$ |-8| a+|2| b-|-4| a $$

\(0.4 \%\) of what number is \(0.014 ?\)

Find the value of \(\left(\frac{2}{3}\right)^{2}+\frac{8}{27}\).

Convert \(6.11 \frac{1}{5}\) to a fraction.

Write the proportion in fractional form: " 9 is to 8 as \(x\) is to 7 ""

Solve the equation \(\frac{3 x}{4}+1=-5\)

For problems \(47-56\), simplify each expression by combining like terms. $$ |0| a-0 a+0 $$

Combine like terms: \(4 x+8 y+12 y+9 x-2 y\).

Find the value of \(-3(2-6)-12\).

For problems \(57-140\), solve each equation. $$ x+1=5 $$

For problems \(57-140\), solve each equation. $$ y-3=-7 $$

For problems \(57-140\), solve each equation. $$ x+12=10 $$

For problems \(57-140\), solve each equation. $$ x-4=-6 $$

For problems \(57-140\), solve each equation. $$ 3 x=17 $$

For problems \(57-140\), solve each equation. $$ \frac{x}{2}=6 $$

For problems \(57-140\), solve each equation. $$ \frac{x}{-8}=3 $$

For problems \(57-140\), solve each equation. $$ \frac{x}{15}=-1 $$

For problems \(57-140\), solve each equation. $$ \frac{x}{-4}=-3 $$

For problems \(57-140\), solve each equation. $$ -3 x=9 $$

For problems \(57-140\), solve each equation. $$ -2 x=5 $$

For problems \(57-140\), solve each equation. $$ -5 x=-5 $$

For problems \(57-140\), solve each equation. $$ -3 x=-1 $$

For problems \(57-140\), solve each equation. $$ \frac{x}{-3}=9 $$

For problems \(57-140\), solve each equation. $$ \frac{a}{-5}=2 $$