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Chapter 2 The Language of Algebra

Simplify:

1.5(3+2·6)−82

Solve:

2.17=y−13

3.p+14=23

Translate into an algebraic expression.

4.11 less than the product of 7 and x.

Translate into an algebraic equation and solve.

5.Twice the difference of y and 7 gives 84.

6.Find all the factors of 72.

7.Find the prime factorization of 132.

8.Find the least common multiple of 12 and 20.

Chapter 3 Integers

Simplify:

9.|8−9|−|3−8|

10.−2+4(−3+7)

11.27−(−4−7)

12.28÷(−4)−7

Translate into an algebraic expression or equation.

13.The sum of −5 and 13, increased by 11.

14.The product of −11and8.

15.The quotient of 7 and the sum of −4andm.

16.The product of −3 and is −51.

Solve:

17.−6r=24

Chapter 4 Fractions

18.Locate the numbers on a number line.  

7

8

,

5

3

,3

1

4

,5.

Step-by-step explanation:

54.864 meters

step-by-step explanation:

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.