Qtr 2 - Quarterly Exam Review Sheet

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Qtr 2 - Quarterly Exam Review Sheet
Graphing / Equations / Inequalities
1. Find the slope between the points
a . (9, -2) & (4, 7) b. (-3, 8) & (-2, 6) c. (2, 9) & (2, 1)
d. (4, -1) & (6, -1)
2. Find the equation of each line:
a. Passing through the points (5,6) & (7, 12)
b. Parallel to the line y = 3x – 7 and passing through (3,6)
c. Parallel to the line 4y = 8(x – 3) and passing through (7, 7)
3. Graph each equation:
a. y = 5/2 x + 3
b. 3x – 2y = 14
c. y = x + 2
d. y = 2x
e. y = 2
f. x=2
g. 2y = -6
4. Solve each system of equations graphically
a. y = ½ x + 6
b. y – 9 = 2x
2y = 3x – 4
y + 6x = 7
5. Graph the inequalities:
a. y < 1/3 x – 5
b. 2x – 4y > 8
6. Solve the system of inequalities:
y > 3x – 1
4y – x < 16
WORD PROBLEMS
1. The sum of 4 numbers is 68. The 1st is 56 less than 5 times the 3rd. The 2nd is 6 less
than the 3rd. The fourth is 14 less than double the 3rd. Find each number.
2. Find 5 consecutive odd integers such that the sum of twice of the 1st and triple the 3rd
is 23 more than double the sum of the 2nd and 4th.
3. The difference between two numbers is -40. The smaller number is 6 more than one
third of the larger. Find both numbers.
4. The difference between two numbers is 111. The larger is 3 more than 7 times the
smaller. Find both numbers.
5. Black T-shirts cost $15. Bright Green T-shirts cost $10. If the store sells 25 more
Bright Green shirts than half the number of Black shirts and collects $1,770 – how many
of each shirt did the store sell?
6. The soda machine sells cans for $.85 and bottles for $1.25. If the machine is used 40
times during the lunch period and collects $48.00, how many cans were sold? How many
bottles were sold?
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