Assignment
Follow order of operations to simplify the following expression:
1) -{30/ (8 - 5)) - 2 - (-9)
Evaluate the expression using the values given for the variables.
2) m - m2 - |n|; use m = -7, and n = -6
Simplify the expression.
3) -6(9 + 3k) - 6(1 - 7k)
Simplify the expression and write your answer as a fraction in lowest terms.
4) (10/7) - (13/8) - (-3/2)
Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary.
5) If a 4.5 ft tall woman casts a 7.7 ft long shadow, then how tall is a man who casts a 12.8 ft shadow?
Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary.
6) What percent of 111.2 is 43?
Find the percentage change. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease.
7) From 51 hours to 84 hours
Find the final price of the item below, given that the tax will be applied to the discounted price.
8) Original price of a puppy: $369.99
Discount: 23%
Tax: 5%
Use simple interest to find the ending balance, given the following values for principal, rate, and time.
9) $910 at 2.9% for 3 years
Solve the equation given in #10.
10) -1 + 5m = -31
Solve the equation given in #11.
11) -7(1 - 3r) + 6(3 + r) = -16
Solve the equation given in #12.
12) -(4/15) = (5/4)x - (4/3)x
Solve the equation given in #13.
13) 2x - 1.2 = 8.42 - 1.7x
Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line.
14) 6b - 8 ≥ 76
Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line.
15) -2n - 2(2 + n) ³ 2n - 4(n + 3)
Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.
16)
Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them.
17) 4x + y = 4
Write the slope-intercept form of the equation of the line through the given points.
18) through: (-5, 4) and (3, -1)
Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.
19) 6 = 3y - 12x
Solve the system of equations by the method of substitution.
20) -2x + 6y = -14
y = -2x
Write the point-slope form of the equation of the line described.
21) through: (2, -3), parallel to y = (1/2)x + 5
Write the slope-intercept form of the equation of the line described.
22) through: (1, -5), perpendicular to y = (2/3)x - 3
Solve the system by graphing both lines on one coordinate system.
23) x + y = -3
3x - 2y = -4
Solve the system of equations by the method of elimination.
24) 14x - 2y = -4
7x - 4y = -29
25) Beth and Castel are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Beth sold 9 rolls of plain wrapping paper and 14 rolls of holiday wrapping paper for a total of $304. Castel sold 3 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $162. Find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper.