Download Aim 18 - Manhasset Schools

Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Unit 2 - Equations & Inequalities
Aim 18: Unit 4 test Review
Do Now
Write each verbal phrase as an algebraic expression.
a) Twice x decreased by 4
________________
b) 5 less than 3 times a number
________________
c) 4 more than the product of b and -4
________________
2
Consider the expression 8y - 3y + 7x - 6.
a) How many terms are there? ________
b) What is the coefficient of the first term? ________
c) What is the coefficient of the third term? _________
c) What is the constant? ________
3) Simplify the expression by combining like terms.
a) 3z - 8zn + 6n + 3zn – 5z
________________________
4) Simplify the expression.
a)
-3(2x - 8) + 6(-3 + 3x - 4)
________________________
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - variables on both sides
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - variables on both sides
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - solution sets
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - word problems
1) The length of a rectangle is twice the difference of three less than the width. If the perimeter of the rectangle is 60 centimeters, what is the area of the rectangle?
2) Three consecutive odd integers add to 45. Find the second number.
3) Steve wants to buy 2 books from Barbes & Noble. One book cost 3 more than 5 times as much as the other. If he spent a total of $39 on both books how much does each book cost?
4) Jim as a certain number of dollars. If he used 7 dollars he will have ¼ of his original amount. How much money did Josh have initially?
5) Given a pair of supplementary angles, one angle is twenty more than four times the other angle. What is the measure of the larger angle?
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - word problems
1) Find two consecutive even integers such that twice the smaller is 26
less than 3 times the larger.
2) Find three consecutive integers such that the sum of the first two
integers is 13 less than the larger integer.
3) The lengths of the sides of a triangle are consecutive even integers.
Find the length of the longest side if the perimeter is 36.
4) Find three consecutive integers such that the sum of the first and
third is 40.
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - word problems
1) The length of a rectangle is 3 times its width. The perimeter of the rectangle
is 80 cm. Find the dimensions of the rectangle. Then find the area of the
rectangle.
2) The length of the base of an isosceles triangle is 10 m less than twice the
length of one of its legs. If the perimeter of the triangle is 50 m, find the length
of the base of the triangle.
3) The length of a rectangle is five more than twice the width. The perimeter is
190 in. Find the dimensions of the rectangle.
4) The width of a rectangle is three less than five times the length. The
perimeter is 138 ft. Find the width. Then find the area.
5) The perimeter of a rectangular tennis court is 228 ft. If the length of the court
exceeds twice the width by 6 ft, find the dimensions of the court.
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - word problems
1. Two angles form a supplementary pair. One angle is 2 less than twice a number. The other angle is the product of 6 and the number increased by 62. Find the number.
2. Two angles are complementary. One angle is 10 subtracted from 12 times a number. The other angle is 2 times the number plus 30. Find the number
3. In triangle ABC, the measure of the largest angle is 3 times the smallest angle decreased by two. The third angle is seven more than the smallest angle. Find the measure of all three angles.
4. In a complementary pair of angles, one angle is twice the difference of the smaller angle and nine. Find the measure of both angles.
5. The measure of an angle of a square is the same as the difference of 3 times a number and twenty­five. Find the number.
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Aim 18 ­ unit 2 test review.notebook
October 27, 2016
Practice - challenge word problems
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Attachments
Aim 28 CW.docx