Written Review
1. Translate the following English statements into algebraic expressions.
1a negative sixty-five less than five times a number
1b one half of the product of the base (b) and the height (h)
1c triple the difference of a four times a number and twenty
1d the sum of twice the length (L) and twice the width (W)
2-3 . Translate the following English statements into algebraic equations and solve.
2. Seven less than five times a number is the difference of thirty-eight and four times the number. Find the number
3. One half the sum of a number and twenty is negative ten. Find the number.
4. Solve the problems involving percents.
4a. 52 is what percent of 130.
4b. 42 is 35% of what number.
5 As a reward for being named "Teacher of the Year", Ms Malini will receive a 3.5% pay raise. If Ms. Malani's current salary is $39,000, what will be her new salary?
6 Find the measure of 2 complimentary angles such that the measure of the larger angle is 12o more than the measure of the smaller angle. Find the measures of each angle.
7 The interior angles of a triangle are such that the measure of the smallest is one third of the measure of the largest and the second angle is 65o less than the measure of the largest. Find the measures of the 3 angles
8 The perimeter of a flower bed is 9meters and the length is twice the width. Find the length and width of the flower bed and include units.
9 Complete the following table, write an equation to solve for x then simplify and solve the equation, interpret the results and write a statement answering the question. Use formula D = rt
Two cars are 402 miles apart and traveling towards each other along the same road. They meet in 3 hours. One car is traveling 10 mph faster than the other. What is the average speed of each car?
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Faster car
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Slower car
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Total
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Rate (average speed)
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Time in hrs
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Distance traveled
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10 Answer statement__________:
11 - 12 Solve the following proportions
11. 7/12 = y/108
12. 45/w = 9/7 = x/84
13 - 14 Graph the solutions for the given inequality on the number line and then identify the solutions using interval notation. Use the interval notation symbols correctly i.e. ?, o, ( ), [ ]
13. -12 ≤ x
14. y > - 5
15 - 17. Solve each inequality, graph the solution on the number line and write the solution in interval notation
15. -19 < 6x + 17
16. 10x - 12 < 6x + 8
17. -26 < 7a + 2 ≤ 16