Follow order of operations to simplify the following expression

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-1-
Follow order of operations to simplify the following expression
1) 8 –
7 + 6 – 4
3
Evaluate the expression using the values given for the variables. 2) y
2
3
(3 – x); use x = -8, and y = -3
Simplify the expression. 3) -7(7m + 3) – 5(9m + 2)
Simplify the expression and write your answer as a fraction in lowest terms. 4)
(-
5
3
) +
7
5
+
3
2
Use a proportion to set up and solve the following problem. Round your answer to the nearesttenth if necessary. 5) A 17.8 ft tall adult giraffe standing next to
a tree casts a 103.2 ft shadow. If the tree
casts a shadow that is 111.4 ft long, then
how tall is it?
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Set up and solve an equation to answer the question below. Round your answer to the nearesttenth of a percent if necessary. 6) 37 is what percent of 66?
Find the percentage change. Round to the nearest tenth of a percent if necessary andstatewhether the change is an increase or a decrease. 7) From 24 hours to 5 hours
Find the final price of the item below, given that the tax will be applied to the discountedprice. 8) Original price of a CD: $19.50
Discount: 27%
Tax: 5%
Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $1,100 at 8.4% for 2 years
Solve the equation given in #10. 10) 5 + 2m = -1
Solve the equation given in #11. 11) -4(2n – 5) – 2(-5 + 4n) = -18
Solve the equation given in #12. 12) 2a +
5
3
+
3
5 = –
27
5
Solve the equation given in #13. 13) 7.9 – 1.3n – n = -3.8 – 4.9n
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Solve the inequality in #14, write its solution set in interval notation, and graph the solutionseton a number line. 14) x
2
+ 7 < 4
Solve the inequality in #15, write its solution set in interval notation, and graph the solutionseton a number line. 15) 1 – 6a + 2a £ -(-6a – 6) – (1 + 6a)
Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark. 16)
x
y
Find the x- and y-intercepts of the line represented by the equation below. Plot bothinterceptson a coordinate system and draw the line through them. 17) 2x – y = 4
Write the slope-intercept form of the equation of the line through the given points. 18) through: (5, 5) and (-2, 4)
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Find at least three ordered pairs that satisfy the equation and sketch the graph of the linethrough them. 19) 5x = 4y + 4
Solve the system of equations by the method of substitution. 20) y = -4x
6x – 3y = 18
Write the point-slope form of the equation of the line described. 21) through: (-5, 4), parallel to y =
1
5
x – 5
Write the slope-intercept form of the equation of the line described. 22) through: (-4, -1), perpendicular to y = –
2
3
x + 1
Solve the system by graphing both lines on one coordinate system. 23) 7x – 3y = 12
x + 3y = 12
Solve the system of equations by the method of elimination. 24) 10x – 6y = -24
x + 12y = -15
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25) Chelsea and Eduardo are selling wrapping paper for a school fundraiser. Customers canbuyrollsof plain wrapping paper and rolls of shiny wrapping paper. Chelsea sold 14 rolls of plainwrapping paper and 1 roll of shiny wrapping paper for a total of $154. Eduardo sold 1 roll of
plain wrapping paper and 5 rolls of shiny wrapping paper for a total of $80. Find the cost eachofone roll of plain wrapping paper and one roll of shiny wrapping paper.

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