Chapter 8

Use a table of values to graph the equation. \(x=-3\)

Solve the inequality. Then graph and check the solution. $$ |3 x+2| \geq 10 $$

Use linear combinations to solve the system. Then check your solution. $$ \begin{array}{r} {2 m+3 n=7} \\ {m+n=1} \end{array} $$

Solve the inequality. \(-x-2<-5\)

Solve the inequality. Then graph and check the solution. $$ |5+2 x| \leq 7 $$

Use linear combinations to solve the system. Then check your solution. $$ \begin{aligned} &x+10 y=-1\\\ &2 x+9 y=9 \end{aligned} $$

Solve the inequality. \(3-x>-4\)

Solve the inequality. Then graph and check the solution. $$ |x+2|+6<15 $$

Use linear combinations to solve the system. Then check your solution. $$ \begin{aligned} &8 r-3 t=2\\\ &2 r-2 t=3 \end{aligned} $$

Solve the inequality. \(7+3 x \geq-2\)

Solve the inequality. Then graph and check the solution. $$ |3 x+7|-5>8 $$

Use front-end estimation to estimate the sum or difference. $$ 287+165 $$

Solve the inequality. \(6 x-10 \leq-4\)

Use substitution to solve the system. $$ \begin{aligned} &2 x-y=-2\\\ &4 x+y=5 \end{aligned} $$

Use front-end estimation to estimate the sum or difference. $$ 4672+1807 $$

Solve the inequality. \(2<2 x+7\)

Use substitution to solve the system. $$ \begin{array}{l} {-3 x+y=4} \\ {-9 x+5 y=10} \end{array} $$

Use front-end estimation to estimate the sum or difference. $$ 46.18+34.42 $$

Solve the inequality. \(9-4 x \leq 2\)

Use substitution to solve the system. $$ \begin{aligned} &x+4 y=30\\\ &x-2 y=0 \end{aligned} $$

Use front-end estimation to estimate the sum or difference. $$ 172-112 $$

Decide whether the statement is true or false. If it is false, correct the statement to make it true. The least common multiple of 6 and 10 is 60.

Use substitution to solve the system. $$ \begin{array}{r} {2 x-3 y=10} \\ {x+y=5} \end{array} $$

Use front-end estimation to estimate the sum or difference. $$ 4882-3117 $$

Decide whether the statement is true or false. If it is false, correct the statement to make it true. The greatest common factor of 6 and 10 is 2.

Use substitution to solve the system. $$ \begin{aligned} &x+15 y=6\\\ &-x-5 y=84 \end{aligned} $$

Use front-end estimation to estimate the sum or difference. $$ 3.84-1.68 $$

Decide whether the statement is true or false. If it is false, correct the statement to make it true. The least common multiple of 10 and 30 is 30.

Use substitution to solve the system. $$ \begin{array}{r} {4 x-y=5} \\ {2 x+4 y=16} \end{array} $$

Decide whether the statement is true or false. If it is false, correct the statement to make it true. The greatest common factor of 10 and 30 is 5.

Write three equivalent fractions for the given fraction. $$ \frac{1}{4} $$

Decide whether the statement is true or false. If it is false, correct the statement to make it true. The least common multiple of 45 and 82 is 105.

Write three equivalent fractions for the given fraction. $$ \frac{3}{5} $$

Decide whether the statement is true or false. If it is false, correct the statement to make it true. The greatest common factor of 45 and 82 is 3.

Write three equivalent fractions for the given fraction. $$ \frac{5}{6} $$

Write three equivalent fractions for the given fraction. $$ \frac{1}{8} $$

Write three equivalent fractions for the given fraction. $$ \frac{2}{3} $$

Write three equivalent fractions for the given fraction. $$ \frac{15}{16} $$

Write three equivalent fractions for the given fraction. $$ \frac{5}{32} $$

Write three equivalent fractions for the given fraction. $$ \frac{25}{32} $$