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Equations and Inequalities Review

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

3y – 8 = – 29

a)

y = -18

b)

y = - 12.3333

c)

y = -7

d)

y = 7

2.

             α4+7 = 11\frac{\alpha}{-4}+7\ =\ 11  

a)

a = 8

b)

a = -16

c)

a = 1

d)

a = -1

3.

w – (– 3) = – 6

(a)  

4.

Which of the following would satisfy the equation:  2(x+4)=42\left(x+4\right)=-4  (Hint: Use substitution!)

a)

-2

b)

-4

c)

-6

d)

-8

5.

Which correctly shows the following equation:

The product of four and a number plus three is negative nine.

a)

4n +3 = 9\frac{4}{n\ }+3\ =\ -9

b)

4n+3=9\frac{4}{n+3}=-9

c)

4n+3=94n+3=-9

d)

4(3)+n=94\left(3\right)+n=-9

6.

Solve the inequality.  12α53\frac{1}{2}\alpha-5\ge-3  

a)

 α16\alpha\ge-16  

b)

 α4\alpha\ge4  

c)

 α2\alpha\ge2  

d)

 α4\alpha\le4  

7.

 g6+214\frac{g}{-6}+2\le14  

a)

 g72g\ge-72  

b)

 g72g\le-72  

c)

 g2g\ge-2  

d)

 g18g\le18  

8.

Which of the following values satisfy the inequality:  9>2x7-9>2x-7  

a)

1

b)

0

c)

-1

d)

-2

9.

Which of the following values satisfy the inequality: A number increased by thirteen is less than negative four. Select all that apply.

a)

-19

b)

-18

c)

-17

d)

-16

e)

-15

10.

Which of the following graphs would represent all possible values for  14+4g6-14+4g\le6  ?

a)
b)
c)
d)