# The Murder of Dusty Mantel

**Topics:**Parallel, Perpendicular, Cartesian coordinate system

**Pages:**8 (1310 words)

**Published:**February 3, 2013

*********Complete and submit this Algebra 1 Midterm Review Packet when you return

1. Write the Order of Operations:

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Evaluate:

2. 3p – q when p = 7 and q = 33. when w = 10 and u = 5

4. for x = 36 and y = 4.5. 4(c + 2) for c = 3.

6. when x = -2.7. (2xy) for x = 5 and y = 3.

8. for q = -29. (x + 3) (10 – x) for x = 4.

10. Evaluate each expression.

a. 8(3 + 5) – 10 • 3b. [6(5) – 12] + [15 – 3(7)]c. (4 – 2)2 + (6 – 1)3 – (10 – 6)2

d. e. f.

11. Evaluate each expression when x = 2, w = 6 and a = 8.

a. (a + 2)(w2 – 3x)b. (–w)2 – (5a – 10x)c. (x)3 + (6w – 2a + xw)

12. Translate the following into verbal or mathematical expressions.

a. (2x + 5)2 ________________________________________________________________

b. The difference of seven times a number y and 10 times a number x, divided by the product of 2 and a number p.

c. ____________________________________________________________

13. Solve each equation.

a. x + 316 = – 214b. – 7x + 17 = 164c. d.

e. 5t – (2t + 3) = 21f. 81(t + 2) = 27(t – 2)g.

h. 3 – 4(x – 1) = 5x – 11i. 2.1x + 45.2 = 3.2 – 8.4xj. 3x – 2(x + 3) = x

k. l. m.

n. o. p.

14. Solve each word problem using equations.

a. Eighty-two increased by some number is -34. Find the number.

b. One and two thirds of a number equals one and a half. What is the number?

c. Four times a number decreased by twice the number is 100. What is the number?

d. Find four consecutive integers whose sum is 130.

e. Find two consecutive integers such that twice the lesser integer increased by the greater integer is 49.

f. The sum of two number is 25. Twelve less than four times one of the numbers is 16 more than twice the other number. Find both numbers.

g. Mary’s test grades are as follows: 82, 96, 74, and 88. The last test of the marking period is coming up and Mary really wants an 86 test average to keep her grade at a B. What would she have to get on the fifth test in order to achieve this?

h. You are driving to visit a friend in another state who lives 440 miles away. You are driving 55 miles per hour and have already driven 275 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.

i. School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 80 students?

j. During the month of February, Fabulous Feet Shoe Mart sold 50 pairs of red loafers. After an ad campaign to boost sales, they sold 60 pairs in March. Find the percent of increase in sales.

15. Solve each equation for the variable specified.

a.) 5x = y; solve for y.b.) ay – b = c; solve for y.c.) yx – a = cx; solve for x.

d. ); solve for x.e.) ; solve for y.

16. Solve each inequality and graph the solution.

a. 7w – 3 < – 24 b. a + 5 > 4a – 10 c. 4 – 3y ≥ 13

d. e. 3 – 9x ≤ 30f. 6 – 4y > 4 – 3y

17. Solve each compound inequality and graph the solution set.

a. 4r ≥ 3r + 7 AND 3r + 7 < r + 29b. – 2b – 4 ≥ 7 OR – 5 + 3b ≤ 10

c. – 5 < 2x – 1< 3d. x – 5 < –2 AND x – 5 > 2e. 2a + 5 ≤ 7 OR 2a ≥ a – 3

18. Write a solution set for the following graphs.

a.

b.

c.

d.

19. State the formula for slope.

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20. State the Slope-Intercept Form of an equation.

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21. State the Point-Slope Form of an equation....

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