Grade 7 Ch. 2 Math Review

Like Terms

100

Simplify the expression by combining like terms: 

4w-w+3=

3w + 3

200

Simplify the expression by combining like terms:

6w + 2xy - xy - 3w + 2xy

3w + 3xy

300

Simplify the expression by combining like terms:

5w + 3xy - 2xy - 4w + 2xy

w + 3xy

400

Simplify the expression by combining like terms:

3b - 2ab +3b - a + 3ab -4b + 5a

2b + ab + 4a

500

Simplify the expression by combining like terms:

5w(3w) + 6x - 3x + 2z - 10w + 12x - 4z + 3wzx

5w + 15x - 2z + 3wzx

Evaluating Expressions

100

Evaluate each expression when a=3, b=-2, c=5

abc

-30

(3)(-2)(5)

(-6)(5) = -30

200

Evaluate each expression when a=3, b=-2, c=5

b(a+c)

-16

-2(3+5)

-2(8) = -16

300

Evaluate each expression when a=3, b=-2, c=5

c³ - 4ab²

77

5³ - 4(3)(-2)²

125 - 4(3)(4)

125 - 12(4)

125 - 48 = 77

400

Evaluate each expression when b=2, n=1, v=3

-v + 5b

7

500

Evaluate each expression when b=2, n=1, v=3

5(6b-2n)

50

5{6(2) - 2(1)}

5(12-2)

5(10) = 50

Add/Subtract

100

Solve for the variable

x+9=21

X = 12

x +9 - 9 = 21 -9

x = 21 - 9

x = 12

200

Solve for the variable

52+s=37

s = -15

52-52 + s = 37 - 52

s = 37 - 52

s = -15

300

Solve for the variable

-7- x = 12

X = -19

-7 + 7 -x = 12 + 7

-x = 19

x÷ -1 = 19 ÷  -1

x = -19

400

Solve for the variable

-5 = b - 19

b = 14

-5 + 19 = b -19 + 19

14 = b

500

Solve for the variable

-25 - 15 + 2 = x + 3 - 10

x = -31

-25 + (-15) + 2 = x - 7

-40 + 2 = x - 7

-38 = x - 7

-38 + 7 = x

x = -31

Multiply/Divide

100

Solve for the variable

4x = 124

x = 31

4x ÷  4 = 124 ÷  4

x = 124 ÷  4

x = 31

200

Solve for the variable

3 + (-5) = 14z

z = -1/7

-2 = 14z

-2 ÷ 14 = 14z ÷  14

-2/14 = z

-1/7

300

Solve for the variable

x ÷ 12 = 3

x = 36

x ÷  12 ⋅ 12 = 3 ⋅  12

x = 3 ⋅  12

x = 36

400

Solve for the variable

z ÷  -7 = -5

z = 35

z ÷ -7 ⋅  -7  = -5 ⋅  -7

z = -5 ⋅  -7

z = 35

500

-10(2) = 7b - 2b

b = -4

Multistep

100

Solve the multistep problem for the given variable

21 = 8x + 5

x = 2

21-5 = 8x

16 = 8x

16 ÷  8 = 8 ÷ 8 (x)

2 = x

200

Solve the multistep problem for the given variable

-7e + 8 = -13

e = 3

-7e +8 - 8 = -13 - 8

-7e = -21

-7 ÷  -7 (e) = -21 ÷ -7

e = 3

300

Solve the multistep problem for the given variable

x ÷ -2 - 6 = -1

x = -10

x ÷  -2 - 6 + 6 = -1 + 6

x ÷  -2 = 5

x ÷  -2 ⋅ -2 = 5 ⋅ -2

x = -10

400

Solve the multistep problem for the given variable

0 = d ÷ 8 + 6

d = -48

0 - 6 = d÷ 8 + 6 - 6

-6 = d÷ 8

-6 ⋅  8 = d ÷ 8  ⋅  8

-48 = d

500

Solve the multistep problem for the given variable

8(3) + 2z - 4z + 4 = 6z - 2z + 10

z = 3

24 - 2z + 4 = 4z + 10

28 - 2z = 4z + 10

28 - 10 - 2z = 4z + 10 - 10

18 - 2z + 2z = 4z + 2z

18 = 6z

z = 3