Solving Equations Review

2-Step Equations

100

2 + 7h = 23

h = 3

200

4b - 8 = 4

b = 3

300

3a + 12 +6a = 6

a = -2/3 (no decimals)

400

c+3/4=-1

c=-7

500

-y/2-6=-1 (your teacher will rewrite this on the board)

y = -10

Vocabulary

100

What is is called when you perform this operation? 8b + 3b

combining like terms

200

Addition and Subtraction are...

Inverses

300

What property would you use here? 5(a + 4)

Distributive Property

400

What order would you solve for x? In other words, use words to solve this equation. 2x+4=6

Subtract 4 from both sides, then divide by 2. 

500

Write an equation for "if you take 6 away from a number you get 12"

x-6=12

Multi-Step Equation

100

4(y - 2) + y = -13

y = -1

200

-6(m + 1) + 18 = 24

m = -2

300

7k - 8 + 2(k + 12) = 52

k = 4

400

-7=-(-4+3n)+2(n-2)

n=7

500

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

x=-3/5 (no decimals)

Random

100

2(x + 5) = 14

x = 2

200

Write an equation and solve: Six more than 3 times a number is 12. 

3x+6=12 x=2

300

Solve for p. p+z=x

p=x-z OR p=-z+x

400

Solve for g. y=(f+g)/3

g=3y-f

500

WRITE AN EQUATION & SOLVE: The length of one side of a triangle is twice the length of the shortest side (x). The other side is 3 less than four times the length of the smallest side. If the sum of the three sides is 60 cm. find the length of the shortest side. 

x+2x+4x-3=60 x=9 cm

Word Problems

100

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

x + 3 = 11 x = 8 Julie's sister is 8 years old.

200

WRITE AN EQUATION & SOLVE Mr. Cushman bought 5 Hannah Montana t-shirts and a $10.12 water bottle for a total of $90.97. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?

5x+10.12 = 90.97 n = 16.17 Each t-shirt cost $16.17

300

WRITE AN EQUATION & SOLVE: Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.

400

WRITE AND SOLVE AN EQUATION: A company is ordering 350 t-shirts to sell at a fundraiser. The company wants to order the same number of large size t-shirts as medium size t-shirts; but only half as many small t-shirts. How many of each size should they order?

1/2x+x+x=350 x=140 so 140 mediums, 140 larges, 70 smalls

500

When you count up by one, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.