Chapter 9 Review

Distributing Expressions

100

Simplify the expression.

0.5(x−12)

0.5x-6

200

Simplify the expression.

−0.4(z+3)

−0.4z−1.2

300

Simplify the expression.

5(x+2)-12

5x-2

400

Simplify the expression.

6(-5z-1)-2

-30z-8

500

Simplify the expression.

−3/8(y−5)

−3/8y + 15/8 

Solving Linear Equations(Solve for x)

100

9z−4=5z+8

z=3

200

−6z+36=3(3z−8)

z=4

300

9(3x+4)=5(x+2)−12

x= -19/11

or

x= -1.73

400

5(3x-4) = 8(x+2)+5

x=41/7

500

−7+(9n+2)=−(6n−3)−9

n= -1/15 

or 

n= -.07

Solving Linear Equations with Fractions

100

1/3y−1/3=2/7y−1/7

y=4

200

6/5u + 1/5 = 3/8u + 7/2

u=4

300

-1/3u - 1/8 = -3/4u + 5/8

u=9/5

or

u=1.8

400

2/5 (x - 4) = -4/5 (x + 2/5)

x=16/15

or

x=1.07

500

x - 3/5x - 1/6 = 1/3 (x - 4/5)

x= -3/2

or

x= -1.5

Number Problems

100

Write out the equation.

What number should be added to −26 to get a sum of 22?

x-26=22

or 

x+(-26)=22

200

 −16 times a number minus 3 is equal to 67 less than the number.

-16x-3 = x-67

300

35 times the difference between a number and 71 is equal to the number plus 97.

35(x-71) = x+97

400

−39 times a number minus 29 is equal to −36 less than the number.

-39x-29=x-(-36)

or

-39x-29=x+36

500

If 6.5 plus 9.5 times a number equals the sum of the number and 43.3, what is the number?  Express your answer as a decimal rounded to two places.

x=4.33

Consecutive Integers

100

The sum of two consecutive integers is −59.  Find the two integers.

-30 and -29

200

The sum of three consecutive even integers is −258. Find the three integers.

-88, -86, -84

300

The sum of three consecutive integers is −87.  Find the three integers.

-30, -29, -28

400

The sum of two consecutive odd integers is 116.  Find the two integers.

57 and 59

500

The sum of two consecutive even integers is −238.  Find the two integers.

-120 and -118