6th - Integer Review - Copy

PEMDAS

100

Evaluate

-20 x 3 ÷ 10 

-6

200

Evaluate

10² ÷ (-5) - 4

100 ÷ (-5) - 4 

-20 - 4

-24

300

Evaluate

(9 - 12)²  + (-17)

(-3)²  + (-17)

9 + (-17)

-8

400

Evaluate

-17 + (-24÷8) x (-4) - 5²

-17 + (-3) x (-4) - 5²

-17 + (-3) x (-4) - 25

-17 + 12 - 25

-5 - 25

-30

500

Evaluate

((2 + (-4)) xx (3^2+3))/ -8 

(-24) / (-8) = 3

THIS CATEGORY IS TOO SPICY

100

Evaluate (ab) - a²b if a = -2 and b = -3

(-2 x -3) - ((-2)² x (-3))

6 - (4 x -3)

6 - (-12)

6

200

(-9 + (-4) + 10) x (-8 -(-5) - (-6))

-9

300

(5 + (-5) - (-5))/5 + (-5)(-5) + 5

31

400

Evaluate (a - b + c - d) + a² - b² if a = -2, b = -3, c=4

and d = -5

5

500

9(x + 6) + 2(7 - 3x) - 8(x - 2)

9(x + 6) + 2(7 - 3x) - 8(x - 2)

9x + 54 + 14 - 6x - 8x + 16

9x - 6x - 8x + 54 + 14 + 16

-5x + 84

Distributive Property

100

4(x + 9)

4x + 36

200

5(x - 6)

5x - 30

300

2(2x-3)

4x - 6

400

7(9 - 3x)

63 - 21x

500

-4(-7x + 5)

28x - 20

Evaluating Algebraic Expressions

100

Evaluate y + 25 - 9 when y =-4

(-4) + 25 - 9 

21 - 9

12

200

Evaluate

7b + 3b²  when b = -2

7(-2) + 3(-2)²​

-14 + 3(4)

-14 + 12

-2

​​​

300

Evaluate 

(2k + 15)/(3m)

when k = -6 and m = -1

(2(-6) + 15)/(3(-1)) = (-12 + 15)/(-3) = 3/(-3) = -1

400

Evaluate when x = 4, and y = -6

6y - (5x-23)²

6(-6) - (5(4) - 23)²

-36 - (20 - 23)²

-36 - (-3)²

-36 - 9

-45

500

Evaluate when a = -8 and b = 6

(ab)/2 - a + b^2

(-8x6)/2 - (-8) + 6²

-48/2 + 8 + 36

-24 + 8 + 36

-16 + 36

20

Simplifying Expressions

100

4x + 7 - 3x

x + 7

200

5x + 17 - 6x - 9

-x + 8

300

7x + 4 - 5x - 3x + 6 - 2x

-3x + 10

400

6(6 - x) + 4(2x - 5)

6(6 - x) + 4(2x - 5)

36 - 6x + 8x - 20

2x + 16

500

7(x - 5) + 9(3 - 2x)

7(x - 5) + 9(3 - 2x)

7x - 35 + 27 - 18x

-11x - 8

Factoring Expressions

100

2x + 8

2(x + 4)

200

4x + 18

2(2x + 9)

300

6x - 15

3(2x - 5)

400

Simplify then factor:

2(x + 6) + 4(x - 5)

2(x + 6) + 4(x - 5)

2x + 12 + 4x - 20

6x - 8

2(3x - 4)

500

Simplify then factor:

5(6 - x) + 4(4 + 3x) - 3(2x - 5)

5(6 - x) + 4(3 + 5x) - 3(2x - 2)

30 - 5x + 12 + 20x - 6x + 6

-5x + 20x - 6x + 30 + 12 + 6

9x + 48

3(3x + 16)