Reference no: EM132288268
Introductory Algebra Assignment -
Follow order of operations to simplify the following expression:
1) ((-8)-2)/((-10)-(-8)) - (-2)
Evaluate the expression using the values given for the variables.
2) y2 - (y/4) + x; use x = 1, and y = -4
Simplify the expression.
3) -5(x + 6) - 10(x + 3)
Simplify the expression and write your answer as a fraction in lowest terms.
4) 5/3 - (-(13/7)) - (2/3)
Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary.
5) If a 4.7 ft tall lawn ornament casts a 6.6 ft long shadow, then how tall is an adult giraffe that casts a 23.4 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) 59 is what percent of 116?
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 87 tons to 73 tons.
Find the final price of the item below, given that the tax will be applied to the discounted price.
8) Original price of a phone: $230.00
Discount: 15%
Tax: 2%
Use simple interest to find the ending balance, given the following values for principal, rate, and time.
9) $1,030 at 15.4% for 5 years
Solve the equation given in 10.
10) 3x - 2 = 22
Solve the equation given in 11.
11) -6(2 - 5n) + 4(-4n + 4) = -10
Solve the equation given in 12.
12) (3/5)n + (3/2) - 1 = 17/10
Solve the equation given in 13.
13) 1 - 5.7n = -2.7n + 1.3
Solve the inequality in 14, write its solution set in interval notation, and graph the solution set on a number line.
14) (k/6) + 2 > 3
Solve the inequality in 15, write its solution set in interval notation, and graph the solution set on a number line.
15) 2(3m + 4) - 2m ≥ -(1 - 2m) + 5m
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) 3x - y = -3
Write the slope-intercept form of the equation of the line through the given points.
18) through: (-2, 1) and (-4, -1)
Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.
19) 0 = -4x - 12 + 3y
Solve the system of equations by the method of substitution.
20) 2x + 2y = -20
y = -3x
Write the point-slope form of the equation of the line described.
21) through: (-3, 2), parallel to y = -(6/5)x - 5
Write the slope-intercept form of the equation of the line described.
22) through: (3, 1), perpendicular to y = -(3/2)x - 5
Solve the system by graphing both lines on one coordinate system.
23) 4x + y = -3
2x - y = -3
Solve the system of equations by the method of elimination.
24) 9x - 6y = 6
-18x + 10y = -28
25) Ryan and Castel are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Ryan sold 14 packages of tulip bulbs and 7 bags of daffodil bulbs for a total of $308. Castel sold 9 packages of tulip bulbs and 1 bag of daffodil bulbs for a total of $142. What is the cost each of one package of tulips bulbs and one bag of daffodil bulbs?
Note - Please show all work for all problems.