Exam 3: Equations, Inequalities and Problem Solving

Solve the equation. 26 = $-$ 6 $-$ 11 a Please express your answer as an improper fraction. Do not use mixed numbers in your answer.

Solve the equation. $5 x - 85 + 15 x - 3 x + 34 = 119$

Chris bought 5 pizzas for a total of $22. What was the price per pizza? $ __________

Stacy worked 6 hours Saturday at $8.50 per hour. How much did she earn? $ __________

Match each compound inequality with its solution. - $x \geq 5 \text { and } x \leq 10$

Use the properties of equality to solve the equation. $\frac { 5 } { 8 } u = 40$

Solve the inequality. $4 x + 13 > 4 x + 14$

For the following problem state the solution set. $-$ 25 $-$ x Please enter your answer as an interval.

Find the measures of the three angles of a triangle if the largest is 4 $^ { \circ }$ smaller than 18 times the smallest and the other angle is 64 $^ { \circ }$ larger than the smallest.

Use the properties of equality to solve the equation. $\frac { 5 } { 8 } u = - \frac { 3 } { 20 }$

Solve the equation. 15 $-$ 10 b = 25

Solve the equation. 20 $-$ 10 s = 15

The sum of a number plus 10 times the number is 44. What is the number?

Solve this equation. 1( z + 1) = 4

Solve the problem by setting up and solving an appropriate inequality. Sue bowled 160 and 170 in her first two games. What must she bowl in the third game to have an average of at least 150 for the three games? Please use the variable x in your answer.

Solve the problem by setting up and solving an appropriate inequality. Suppose that the perimeter of a rectangle is to be no greater than 66 inches and the length of the rectangle must be 16 inches. Find the largest possible value for the width of the rectangle.

Which of the given graphs is the solution of the following compound inequality? $x \leq 1 \text { or } x \geq 4$

Solve this equation. 9( y $-$ 6) = 8( y + 2)

The length of a rectangular floor is 35 meters. This length is 5 meters less than four times the width of the floor. Find the width of the floor.

Solve the equation. $7 ( z + 6 ) + 2 ( 2 z - 7 ) = 5 ( 2 z + 9 )$