Reference no: EM131011679
Follow order of operations to simplify the following expression:
1) 24/|1-(-7)| - (-2)
Evaluate the expression using the values given for the variables.
2) -4 + y - x2y; use x = -2, and y = 8
Simplify the expression.
3) -8(-4k - 8) - 10(1 + 7k)
Simplify the expression and write your answer as a fraction in lowest terms.
4) (-2) + (- 5/7) - (- 3/2)
Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary.
5) An adult giraffe that is 16.7 ft tall casts a shadow that is 28.4 ft long. Find the length of the shadow that a 11.5 ft statue casts.
Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary.
6) 35.4 is what percent of 67?
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 27 inches to 19 inches
Find the final price of the item below, given that the tax will be applied to the discounted price.
8) Original price of a bicycle: $599.50
Discount: 40%
Tax: 3%
Use simple interest to find the ending balance, given the following values for principal, rate, and time.
9) $18,000 at 2% for 6 years
Solve the equation given in #10.
10) 4 + 2n = 10
Sove the equation given in #11.
11) 36 = 2(6x - 1) - 2(1 + 2x)
Solve the equation given in #12.
12) 37/24 = 1/4n + 8/5n
Solve the equation given in #13.
13) 2.5v + 2v = 4.7v - 0.5
Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line.
14) 4a - 3 > -59
Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line.
15) 3(-5n + 4) ≥ n + 5(6 - 2n)
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) 5x - 4 y = -20
Write the slope-intercept form of the equation of the line through the given points.
18) through: (2, 3) and (-2, 5)
Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.
19) 8 - 2 y = -7x
Solve the system of equations by the method of substitution.
20) 2x + 4 y = 6
y = -2x
Write the point-slope form of the equation of the line described.
21) through: (2, -2), parallel to y = - 7/2x + 3
Write the slope-intercept form of the equation of the line described.
22) through: (5, -3), perpendicular to y = 5/8x - 4
Solve the system by graphing both lines on one coordinate system.
23) x - 2 y = -4
2x + y = -3
Solve the system of equations by the method of elimination.
24) 3x - 6 y = -27
9x + 4 y = 29
25) Darryl and Amy are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon meringue pies. Darryl sold 6 blueberry pies and 5 lemon meringue pies for a total of $111. Amy sold 3 blueberry pies and 12 lemon meringue pies for a total of $198. What is the cost each of one blueberry pie and one lemon meringue pie?