Unit 1

Question 1

Simplify

|-4|+|-3|-2

Answer 1

5

Question 2

Simplify

5(6)[5-2]

P.E.M.D.A.S

Answer 2

90

Question 3

Simplify

|-(-3)-1|-|2-1|

Answer 3

1

Question 4

Simplify

-m-(2m+9-n)+8

P.E.M.D.A.S

Answer 4

-3m-n+17

distrinute the subtraction sign

Question 5

Simplify

x+y+[-(8x+y-4)]

P.E.M.D.A.S

Answer 5

-7x+4

Distribute the subrtaction sign

Question 6

Simplify

9-(t-8)

alphebetical order

Answer 6

-t+17

Question 7

Simplify

7(2)+3(7)
__________
2(to the 3rd power)-1

P.E.M.D.A.S

Answer 7

5

Question 8

Simplify

5(r+3y-1)+3(3r-5)

P.E.M.D.A.S and alphebetical order

Answer 8

14r+15y-20

Question 9

-4/4
—
9

Answer 9

-9

Question 10

Simplify

-35(1/6)(-1/7)

Answer 10

5/6

Question 11

Simplify

9(-b+a)-7(a-3b)

Answer 11

2a+12b

Question 12

Simplify

2/5(-5a-15)+3/4(2-8a)

Answer 12

-8a-4 1/2

Question 13

Define the variables, write an equation, solve and answer the question

The smaller of two consecutive integers is four more than half the greater. Find the integers.

Answer 13

9,10

Question 14

Define the variables, write an equation, solve and answer the question

I am thinking of four consecutive integers. The sum of the second and forth equals the third increased by 17. Find the integers.

Answer 14

15,16,17,18

Question 15

Translate and simplify if possible

Five more than the product of 7 and y

Answer 15

5+(7y)

Question 16

Translate and simplify if possible

Two less than the sum of x and the opposite of b, decreased by three times y

Answer 16

(x+[-b])-2-3y

Question 17

Translate and simplify if possible

The opposite of x is four less than eight.

Answer 17

x=-4

Question 18

The gym is 21 years newer than the auditorium. The gym is also 1/4 as old as the auditorium. How old is each building?

Choices for the auditorium’s age: 26, 27, 28

Answer 18

Auditorium: 28 y.o
Gym: 7 y.o

pg. 4 highlighted part in math notebook

Question 19

What does the opposite of negative 7 mean

Answer 19

-(-7)
=7

Question 20

Evaluate each expression if a=1.5,b=-2 and c=-1.7

|a|+|b|

Answer 20

3.5

Question 21

• |-8|____-8

Answer 21

=

Question 22

|-q|=1

Answer 22

{1,-1}

Question 23

Evaluate each expression if a=1.5, b=-2, and c=-1.7

4a-|b|-|c|

Answer 23

2.3

Question 24

3a+(-7)+4b+(-6)

Answer 24

3a+4b+(-13)

Question 25

-[8+(-5)]+(-c)+3

Answer 25

-c

Question 26

Evaluate each expression if x=-3, y=6 and z=-4

1+(-y)+z

Answer 26

-9

Question 27

6g-3f+8f-g

Answer 27

5f+5g

Question 28

8+3(4-y)

Answer 28

-3y+20

Question 29

Represent each word phrase by a variable expression. Then simplify it.

Twice the sum of eleven and x, increased by three times the difference between x and seven

Answer 29

5x+1

Question 30

Use the 5-step plan to solve each problem over the given domain

If five is subtracted from twice a number and this difference is tripled, the result is one more than four times a number. Find the number.

Domain: {8,9,10}

Answer 30

x=8

Question 31

Simplify

-50+(-2)[3(1-f)-3(-2+f)]

Answer 31

-68+12

pg. 16 problem 56 in notebook

Question 32

Solve each problem over the given domain

The sum of 3 consecutive odd integers is 40 more than the smallest. What are the integers?

Domain for smallest: {13,17,25}

Answer 32

17,19,21

pg 18 number 13 in notebook