Exam 3: Equations, Inequalities and Problem Solving

Solve this equation. $\frac { 5 } { 8 } u + \frac { 1 } { 20 } = - \frac { 23 } { 40 }$

One of two supplementary angles is 35 times as large as the other. Find the measure of each angle. Please enter your answer as two numbers, listed from least to greatest, separated by a comma.

Determine whether the numerical inequality is true or false. $\frac { 1 } { 4 } + \frac { 1 } { 5 } < \frac { 1 } { 5 } + \frac { 1 } { 6 }$

Seven years ago Rosa was 27 years old. Find Rosa's present age. __________ years old

Todd is on a 1,800-calorie-per-day diet plan. This plan permits 650 calories less than twice the number of calories permitted by Lerae's diet plan. How many calories are permitted by Lerae's plan? __________ calories

Solve the equation. $3 ( 4 t + 1 ) = 6 ( 2 t - 1 )$

When the variable is enclosed in parentheses, use the distributive property to remove the parentheses.

Find the measures of the three angles of a triangle if the largest is 3 $^ { \circ }$ smaller than 15 times the smallest and the other angle is 30 $^ { \circ }$ larger than the smallest. Please enter your answer as three numbers, listed from least to greatest, separated by commas.

Solve the equation. $3 y - 3 + 6 y - 8 y + 2 = 5$

If nine times a certain number is subtracted from 65, the result is 2. Find the number.

Solve this equation. 3( x + 2) = 12

Solve this equation. $\frac { 3 } { 4 } w - \frac { 4 } { 3 } = - \frac { 7 } { 12 }$

Use the properties of equality to solve the equation. $\frac { - p } { 5 } = \frac { 1 } { 16 }$

Solve this equation. $-$ 4( z + 5) = 16

Solve the equation. $\frac { x + 1 } { 6 } = \frac { x - 3 } { 9 } + 4$

Solve the problem by setting up and solving an appropriate inequality. The Mets have won 45 baseball games and lost 47 games. They have 62 more games to play. To win more than 50% of all their games, how many of the 62 games remaining must they win? Please use the variable x in your answer.

Solve the equation. $6 q + 3 + 4 q = 5 q + 2 q - 9$

Tracy received a cell phone bill for $134.94. Included in the $134.94 was a charge of $39.99 for the monthly plan and a charge for 211 extra minutes. How much is Tracy being charged for each extra minute?

Use the properties of equality to solve the equation. $\frac { - a } { 5 } = \frac { 1 } { 2 }$

Last week on an algebra test, the highest grade was 16 points less than 3 times the lowest grade. The sum of the two grades was 60. Find the lowest and highest grades on the test. Please enter your answer as two numbers, listed from least to greatest, separated by a comma.