Chapter 4

Find the number with the given prime factorization. (Skills Review p. 761) $$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 $$

Determine whether the equation is true or false. $$12+0 \cdot 7.18=12$$

SUBTRACTING FRACTIONS Subtract. Write the answer as a fraction or as a mixed number in simplest form. $$ 3 \frac{2}{3}-1 \frac{1}{3} $$

Write the equation \(3 x+y=5\) in function notation. $$ a .f(x)=y+5 $$ $$ b. f(x)=-3 x+5 $$ $$ c. f(x)=3 x-5 $$ $$ d.f(x)=-y-5 $$

Find the difference. $$ 7-|-8| $$

Use the following information.You have \(\$50\) in your savings account at the beginning of the year. Each month you save \(\$30\). Assuming no interest is paid, the equation s = 30m + 50 models the amount of money s (in dollars) in your savings account after m months. Graph the model. Then use the graph to predict your total savings after 18 months.

Find the number with the given prime factorization. (Skills Review p. 761) $$ 2^{6} \cdot 3 \cdot 5^{6} $$

Find the sum. $$ 5+2+(-3) $$

SUBTRACTING FRACTIONS Subtract. Write the answer as a fraction or as a mixed number in simplest form. $$ 8 \frac{3}{4}-7 \frac{3}{4} $$

Evaluate the function \(f(x)=-x+8\) when \(x=-2\) $$ f. 6 $$ $$ g. 10 $$ $$ h. 16 $$ $$ i. -16 $$

Find the difference. $$ -\frac{2}{3}-\left(-\frac{7}{3}\right) $$

The cost of a long-distance telephone call is \(\$.87\) for the first minute and \(\$.15\) for each additional minute. Let c represent the total cost of a call that lasts t minutes. Plot points for the costs of calls that last 1, 2, 3, 4, 5, and 6 minutes.

Find the sum. $$ -6+(-14)+8 $$

Subtract. Write the answer as a fraction or as a mixed number in simplest form. \(9 \frac{8}{15}-2 \frac{4}{15}\)

Find the difference. $$ -4-(-5) $$

Solve the equation if possible. Check your solution. $$ 4 x+8=24 $$

Find the sum. $$ -18+(-10)+(-1) $$

SUBTRACTING FRACTIONS Subtract. Write the answer as a fraction or as a mixed number in simplest form. $$ 8 \frac{9}{13}-5 \frac{2}{13} $$

Find the difference. $$ -8-9 $$

Solve the equation if possible. Check your solution. $$ 3 n=5 n-12 $$

Which of the following lines are parallel? $$\text { line } a:-2 x+y=10$$ $$\text { line } b:-6 x+3 y=13$$ $$\text { line } c:-2 x-y=6$$

Find the sum. $$ -\frac{1}{3}+6+\frac{1}{3} $$

SUBTRACTING FRACTIONS Subtract. Write the answer as a fraction or as a mixed number in simplest form. $$ 6 \frac{7}{11}-6 \frac{2}{11} $$

Find the difference. $$ 13.8-6.9 $$

Solve the equation if possible. Check your solution. $$ 9-5 z=-8 z $$

Write an equation of a line that is parallel to y = 4x -5 but has a y-intercept of 3.

Simplify the expression. $$ 3 a-5 b-7 a+2 b $$

SUBTRACTING FRACTIONS Subtract. Write the answer as a fraction or as a mixed number in simplest form. $$ 17 \frac{5}{8}-10 \frac{3}{8} $$

Find the quotient. $$ 54 \div 9 $$

Solve the equation if possible. Check your solution. $$ -5 y+6=4 y+3 $$

Simplify the expression. $$ -6 x+2 y-8 x+4 y $$

SUBTRACTING FRACTIONS Subtract. Write the answer as a fraction or as a mixed number in simplest form. $$ 12 \frac{17}{21}-7 \frac{2}{21} $$

Find the quotient. $$ -72 \div 8 $$

Solve the equation if possible. Check your solution. $$ 3 b+8=9 b-7 $$

Simplify the expression. $$ n^{2}+3 m-9 m-3 n^{2} $$

SUBTRACTING FRACTIONS Subtract. Write the answer as a fraction or as a mixed number in simplest form. $$ 18 \frac{9}{14}-3 \frac{3}{14} $$

Find the quotient. $$ 26 \div(-13) $$

Solve the equation if possible. Check your solution. $$ -7 q-13=4-7 q $$

What is the slope of the graph of the equation y + 8 = 0?

Simplify the expression. $$ -4 r-5 t^{3}+2 r-7 r $$

Find the quotient. $$ -1 \div 8 $$

Find the slope of the line that passes through the points. \((0,3)\) and \((2,1)\)

Write the equation 6x -9y 45 = 0 in slope-intercept form.

Simplify the expression. $$ 2 c^{2}-4 c+8 c^{2}-4 c^{3} $$

Find the quotient. $$ 12 \div\left(-\frac{1}{5}\right) $$

Find the slope of the line that passes through the points. \((2,-3)\) and \((-2,1)\)

What is the slope of a line parallel to the graph of the equation 16x -32y = 160? $$A.2$$ $$B.\frac{1}{2}$$ $$C.5$$ $$D.-5$$

Simplify the expression. $$ -3 k^{3}-5 k+h+5 k $$

Find the quotient. $$ 3 \div \frac{1}{4} $$

Find the slope of the line that passes through the points. \((-1,-3)\) and \((-3,3)\)