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Follow order of operations to simplify the following expression:

1)    –  – 2 – (-9)

Evaluate the expression using the values given for the variables.

2)    mm2 – 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)         – (- )

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.

4 5 4 12) – = xx

15         4          3

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

w.

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.

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 = x + 5

Write the slope-intercept form of the equation of the line described.

22)     through: (1, -5),  perpendicular to y = 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.

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