Exam 2: Equations, Inequalities, and Problem Solving

Simplify the expression. First use the distributive property to remove any parentheses. - $\frac { 1 } { 5 } ( 15 x + 8 ) - \frac { 3 } { 10 } ( 10 x - 1 )$

Graph the set of numbers given in interval notation. Then write an inequality statement in x describing the numbers graphed. - $[2, \infty)$

Write the following as an algebraic expression. Simplify if possible. -Add 9x - 4 to 4x - 12.

Solve. -Ted drove to his grandparents' house for a holiday weekend. The total distance (one-way) was 343 miles and it took him 11 hours. How fast was Ted driving? (Round answer to the nearest whole Number)

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -2(2z - 3) = 3(z + 3)

Write the phrase as a variable expression. Use x for the unknown number. -A number subtracted from 13

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -A store is advertising 15% off sale on everything in the store. Find the discount of a fax machine that regularly sells for $150.

Solve the equation. - $- \frac { 1 } { 8 } x = 2$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -The local clothing store marks up the price that it pays to the clothing manufacturer by 36%. If the selling price of a pair of jeans is $113, how much did the clothing store pay for the jeans?

Solve. -David has $18,000 to invest. He invests $13,000 in a mutual fund that pays 12% annual simple interest. If he wants to make at least $2200 in yearly interest, at what minimum rate does the Remainder of the money need to be invested?

Solve. -Mario's front patio is in the shape of a trapezoid with a height of 50 feet. The longer base is 11 feet longer than the shorter base, and the area of the patio is 10,000 square feet. Find the length of each Base of the trapezoidal patio.

Solve the equation. - $- 3 ( 4 x + 1 ) - 3 = - 3 ( x + 3 ) + 4 x$

Solve the equation. - $7 x - ( 3 x - 1 ) = 2$

Simplify the expression. First use the distributive property to remove any parentheses. --4(10r + 10) + 2(7r + 7)

Solve the equation. - $\frac { x } { 6 } + 8 = 17$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -How much pure acid should be mixed with 3 gallons of a 50% acid solution in order to get an 80% acid solution?

Write the phrase as a variable expression. Use x for the unknown number. -The sum of $- 14$ and twice a number

Simplify the expression by combining any like terms. --4m + 4 - 1 + 4 + m - 7

Simplify the expression by combining any like terms. -5.8w - 1.9 - 3.7w + 6 + 2.3w

Solve. -If the sum of a number and two is doubled, the result is six less than three times the number. Find the number.