E. Evaluating Algebraic Expressions
When approximations are asked for, round off to three decimal places. Otherwise give the exact answer, as an integer or fraction. Answer Result (leave this blank)
17a) Evaluate 4x2y - 3xy2 for x = -2, y = 3
17b) Evaluate 4x2y - 3xy2 for x = -1, y = -2
18a) Approximate for p= 0.5
18b) Approximate for p = 0.01
19) Approximate
for x = 0.57, s = 0.043, n = 5 and z* = 1.645
20) Given Pr(E or F)=Pr(E)+Pr(F)-Pr(E and F),
evaluate Pr(E or F) when Pr(E)=1/4,
Pr(F)=3/13, and Pr(E and F)=3/52.
21) Given s=6, s1=5, s2=1, s3=7, and b=3,
evaluate s+b-sb+(s1+s2+s3)2
22) Given n=3, x1=5, x2=-4, x3=8, x=3, s > 0, and approximate s.


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F. Order Relationships
Answer Result (leave this blank)
23) means:
a) X2 is less than 30 b) X2 is more than 30
c) X2 is at least 30 d) X2 is at most 30
24a) The median of a list is the number in the middle when the list is ordered. Find the median of 8 -3 7 -11 5
24b) Find the median of -1 -2 -3 4 5
24c) Find the median of 2 2 1 2 -2 -2 0
25a) Evaluate |12|
25b) Evaluate |-56|
25c) Evaluate |-9| + |6-8| - |5+4|
26) Aville is 20 km due west of Btown, and Cview is 50 km due west of Btown. How far is Aville from Cview?
27) Tom is 2 cm taller than Dick, Dick is 5 cm shorter than Harry, and Sally is 1 cm shorter than Tom. How much taller is Harry than Sally?


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G. Equations of Lines
Enter answers with no extra spaces. Answer Result (leave this blank)
28) What is the x-intercept of the line y=-2x+8?
29) What is the y-intercept of the line 4x-5y=10?
30) What is the slope of the line through (-5,2) and (6,-1)? Give your answer as a fraction.
31) Give the equation in standard form ax+by=c of the line through the points (2,-1) and (4,6).
32) Give the equation in slope-intercept form y=mx+b of the line with slope 7 passing through the point (4,3).
33) Give the equation in standard form ax+by=c of the line with slope -5/6 and y-intercept 4.
34) Give the equation in slope-intercept form y=mx+b of the line through the points (1,5) and (1/2,0).
35a) For 2x + 3y = 12, find y when x is -3.
35b) For 2x + 3y = 12, find y when x is 12.


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Linear Equations in One Variable
Solve for x, giving answers as decimals, and rounding off approximate answers to three decimal places. Answer Result (leave this blank)
36a) 5x-7 = 8
36b) 4-x = 9
36c) 3x+5 = 7x-1
36d) 4(3x+5) = -5(x+13)
36e) 0.07x + 0.09(x+200) = 66
37a) 23x+132=288
37b) 1.2-0.49x=3


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Applications of Linear Equations
Answer Result (leave this blank)
38) Jo has 23 coins. She has twice as many nickels as pennies and three more dimes than pennies.
a) How many pennies does she have?
b) How many nickels does she have?
c) How many dimes does she have?
39) The width of a rectangle is two cm more than one quarter of its length. The perimeter is 34 cms.
a) What is the length?
b) What is the width?
40) The average age of the nine students in a class is 25 years. A new student, who is 35 years old, joins the class. What is the average age now?


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Systems of Equations in Two Variables
Solve each of the following systems, by graphing, substitution, or elimination. Give your answers as integers or decimals. Answer Result (leave this blank)
41) If x - y = 8 and 3x + 2y = 9, what is x?
42) If 5x + 3y = 10 and 6x + 4y = 15, what is x?
43) If 6x - y = 9 and y = 3x - 7, what is y?
44) Alice spent 6 minutes on each factoring problem and 3 minutes on each evaluation problem. She spent a total of 42 minutes on 9 problems. How many minutes did she spend on factoring?
45) Cornbowl Cereal contains 30 g. of sugar and 6 g. of fibre per unit, while Ricedish Cereal contains 40 g. of sugar and 2 g. of fibre. These are combined to get a mixture containing 445 g. of sugar and 47 g. of fibre,
a) How much Cornbowl Cereal is used?
b) How much Ricedish Cereal is used?


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